IP Library › Granted Patent US 12,536,459
Granted Patent B2
US 12,536,459 · App. 18/003,563 · Granted Jan 27, 2026

Systems and methods for coupling between qubits

Inventors: Paul I. Bunyk (Pt. Roberts, WA); Reza Molavi (North Vancouver, CA); Kelly T.R. Boothby (Vancouver, CA); Mark H. Volkmann (Burnaby, CA)
Assignee: D-WAVE SYSTEMS INC.
G06N10/40H10N60/805
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Quick Facts
Patent No.
US 12,536,459
App. No.
18/003,563
Granted
Jan 27, 2026
Kind
B2
Abstract

A superconducting integrated circuit has a first superconducting device with a first superconducting loop, where the first superconducting loop has a first superconducting trace in a first layer of the superconducting integrated circuit, and a second superconducting device with a second superconducting loop, where the second superconducting loop has a second superconducting trace in a second layer. The first superconducting loop crosses the second superconducting loop in a crossing region. At least a portion of each of the first and the second superconducting trace inside the crossing region is narrower than at least a portion of each of the traces outside the crossing region, and follows a respective circuitous path which is inductively proximate to at least a portion of the other path.

Claims (26)

1 . A superconducting integrated circuit comprising:

a first superconducting device comprising a first superconducting loop, the first superconducting loop comprising a first superconducting trace in a first layer of the superconducting integrated circuit;

a second superconducting device comprising a second superconducting loop, the second superconducting loop comprising a second superconducting trace in a second layer of the superconducting integrated circuit, the second layer overlying and/or neighboring the first layer, the second layer separated from the first layer by an intervening layer; and

a crossing region in which the first superconducting loop crosses, in projection, the second superconducting loop, wherein at least a portion of the first superconducting trace inside the crossing region is narrower than at least a portion of the first superconducting trace outside the crossing region, at least a portion of the second superconducting trace inside the crossing region is narrower than at least a portion of the second superconducting trace outside the crossing region, the at least a portion of the first superconducting trace inside the crossing region follows a first circuitous path, the at least a portion of the second superconducting trace inside the crossing region follows a second circuitous path, and the first circuitous path and the second circuitous path are inductively proximate to each other for at least a portion of a length of the first circuitous path.

2 . The superconducting integrated circuit of claim 1 , wherein the first circuitous path and the second circuitous path at least partially overlie each other for at least a portion of a length of the first circuitous path.

3 . The superconducting integrated circuit of claim 1 , wherein the first superconducting loop crosses the second superconducting loop substantially perpendicularly.

4 . The superconducting integrated circuit of claim 1 , wherein each of the first superconducting trace and the second superconducting trace comprises a respective superconducting metal.

5 . The superconducting integrated circuit of claim 4 , wherein the respective superconducting metal includes a superconducting metal selected from the group consisting of niobium and aluminum.

6 . The superconducting integrated circuit of claim 1 , wherein the first superconducting device further comprises a first Josephson junction, the first Josephson junction interrupting the first superconducting loop, and the second superconducting device further comprises a second Josephson junction, the second Josephson junction interrupting the second superconducting loop.

7 . The superconducting integrated circuit of claim 1 , wherein the first superconducting device is a first superconducting flux qubit, and the second superconducting device is a second superconducting flux qubit.

8 . The superconducting integrated circuit of claim 1 , wherein the at least a portion of the first superconducting trace inside the crossing region includes four changes of direction.

9 . The superconducting integrated circuit of claim 1 , wherein a first shape of the first circuitous path is congruent with a second shape of the second circuitous path.

10 . The superconducting integrated circuit of claim 1 , wherein the intervening layer includes an insulating layer.

11 . The superconducting integrated circuit of claim 10 wherein the insulating layer includes a dielectric material and/or an air bridge.

12 . The superconducting integrated circuit of claim 11 , wherein the dielectric material includes at least one of silicon dioxide or silicon nitride.

13 . The superconducting integrated circuit of claim 1 , further comprising a coupling device coupled to the first superconducting device and the second superconducting device and communicatively coupled to provide mediated coupling between the first superconducting device and the second superconducting device.

14 . The superconducting integrated circuit of claim 1 , wherein the at least a portion of the first superconducting trace inside the crossing region and the at least a portion of the second superconducting trace inside the crossing region each include one or more U-shaped profiles.

15 . A superconducting integrated circuit comprising:

a first superconducting device comprising a first superconducting loop, the first superconducting loop comprising a first superconducting trace in a first layer of the superconducting integrated circuit;

a second superconducting device comprising a second superconducting loop, the second superconducting loop comprising a second superconducting trace in a second layer of the superconducting integrated circuit; and

a region in which a portion of the first superconducting loop overlaps a portion of the second superconducting loop, wherein at least a portion of the first superconducting trace within the region is narrower than at least a portion of the first superconducting trace outside the region, at least a portion of the second superconducting trace within the region is narrower than at least a portion of the second superconducting trace outside the region, the at least a portion of the first superconducting trace within the region follows a first path, the at least a portion of the second superconducting trace within the region follows a second path, and the first path and the second path are inductively proximate to each other for at least a portion of a length of the first path.

16 . The superconducting integrated circuit of claim 15 , wherein the first layer is a different layer from the second layer.

17 . The superconducting integrated circuit of claim 15 , wherein the first layer is separated from the second layer by an intervening layer.

18 . The superconducting integrated circuit of claim 15 , wherein the first path is a circuitous path.

19 . The superconducting integrated circuit of claim 18 , wherein the first path and the second path are congruent.

20 . The superconducting integrated circuit of claim 15 , wherein the first path and the second path at least partially overlie each other.

Assignments (3)
RELEASE OF SECURITY INTEREST Recorded Mar 11, 2025
From: PSPIB UNITAS INVESTMENTS II INC.
To: D-WAVE SYSTEMS INC.; 1372934 B.C. LTD.
Reel/Frame 070470/0098 →
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Mar 6, 2024
From: MOLAVI, REZA; BOOTHBY, KELLY T.R.; BUNYK, PAUL I.; VOLKMANN, MARK H.
To: D-WAVE SYSTEMS INC.
Reel/Frame 066667/0837 →
INTELLECTUAL PROPERTY SECURITY AGREEMENT Recorded Apr 14, 2023
From: D-WAVE SYSTEMS INC.; 1372934 B.C. LTD.
To: PSPIB UNITAS INVESTMENTS II INC., AS COLLATERAL AGENT
Reel/Frame 063340/0888 →
Continuity (2)
Provisional Application 63046394 · Jun 30, 2020
Related Publication 20230297869A1 · Sep 21, 2023
References Cited (346)
US 4280095A · Hinton · 1981 [cited by applicant]
US 4370359A · Fetter et al. · 1983 [cited by applicant]
US 4371796A · Takada · 1983 [cited by applicant]
US 4496854A · Chi et al. · 1985 [cited by applicant]
US 5095357A · Andoh et al. · 1992 [cited by applicant]
US 5110793A · De · 1992 [cited by applicant]
US 5157466A · Char et al. · 1992 [cited by applicant]
US 5185527A · Bluzer · 1993 [cited by examiner]
US 5323344A · Katayama et al. · 1994 [cited by applicant]
US 5465049A · Matsuura et al. · 1995 [cited by applicant]
US 5523914A · Weck et al. · 1996 [cited by applicant]
US 5917322A · Gershenfeld et al. · 1999 [cited by applicant]
US 5962781A · Veryaskin · 1999 [cited by applicant]
US 6037649A · Liou · 2000 [cited by applicant]
US 6058127A · Joannopoulos et al. · 2000 [cited by applicant]
US 6389197B1 · Iltchenko et al. · 2002 [cited by applicant]
US 6437413B1 · Yamaguchi et al. · 2002 [cited by applicant]
US 6459097B1 · Zagoskin · 2002 [cited by applicant]
US 6495854B1 · Newns et al. · 2002 [cited by applicant]
US 6504172B2 · Zagoskin et al. · 2003 [cited by applicant]
US 6597010B2 · Eriksson et al. · 2003 [cited by applicant]
US 6627915B1 · Ustinov et al. · 2003 [cited by applicant]
US 6627916B2 · Amin et al. · 2003 [cited by applicant]
US 6753546B2 · Tzalenchuk et al. · 2004 [cited by applicant]
US 6784451B2 · Amin et al. · 2004 [cited by applicant]
US 6791109B2 · Tzalenchuk et al. · 2004 [cited by applicant]
US 6803599B2 · Amin et al. · 2004 [cited by applicant]
US 6838694B2 · Esteve et al. · 2005 [cited by applicant]
US 6885325B2 · Omelyanchouk et al. · 2005 [cited by applicant]
US 6900454B2 · Blais et al. · 2005 [cited by applicant]
US 6943368B2 · Amin et al. · 2005 [cited by applicant]
US 6979836B2 · Zagoskin et al. · 2005 [cited by applicant]
US 6984846B2 · Newns et al. · 2006 [cited by applicant]
US 6996504B2 · Novotny et al. · 2006 [cited by applicant]
US 7002174B2 · Il et al. · 2006 [cited by applicant]
US 7015499B1 · Zagoskin · 2006 [cited by applicant]
US 7018852B2 · Wu et al. · 2006 [cited by applicant]
US 7109593B2 · Freedman et al. · 2006 [cited by applicant]
US 7230266B2 · Hilton et al. · 2007 [cited by applicant]
US 7253654B2 · Amin · 2007 [cited by applicant]
US 7277872B2 · Raussendorf et al. · 2007 [cited by applicant]
US 7307275B2 · Lidar et al. · 2007 [cited by applicant]
US 7332738B2 · Blais et al. · 2008 [cited by applicant]
US 7335909B2 · Amin et al. · 2008 [cited by applicant]
US 7364923B2 · Lidar et al. · 2008 [cited by applicant]
US 7533068B2 · Maassen et al. · 2009 [cited by applicant]
US 7605600B2 · Harris · 2009 [cited by applicant]
US 7613764B1 · Hilton et al. · 2009 [cited by applicant]
US 7619437B2 · Thom et al. · 2009 [cited by applicant]
US 7624088B2 · Johnson et al. · 2009 [cited by applicant]
US 7639035B2 · Berkley · 2009 [cited by applicant]
US 7800395B2 · Johnson et al. · 2010 [cited by applicant]
US 7843209B2 · Berkley · 2010 [cited by applicant]
US 7847615B2 · Yorozu et al. · 2010 [cited by applicant]
US 7876248B2 · Berkley et al. · 2011 [cited by applicant]
US 7880529B2 · Amin · 2011 [cited by applicant]
US 7898282B2 · Harris et al. · 2011 [cited by applicant]
US 8022722B1 · Pesetski et al. · 2011 [cited by applicant]
US 8063657B2 · Rose · 2011 [cited by applicant]
US 8073808B2 · Rose · 2011 [cited by applicant]
US 8098179B2 · Bunyk et al. · 2012 [cited by applicant]
US 8102185B2 · Johansson et al. · 2012 [cited by applicant]
US 8164082B2 · Friesen · 2012 [cited by applicant]
US 8169231B2 · Berkley · 2012 [cited by applicant]
US 8174305B2 · Harris · 2012 [cited by applicant]
US 8190548B2 · Choi · 2012 [cited by applicant]
US 8190553B2 · Routt · 2012 [cited by applicant]
US 8195596B2 · Rose et al. · 2012 [cited by applicant]
US 8234103B2 · Biamonte et al. · 2012 [cited by applicant]
US 8421053B2 · Bunyk et al. · 2013 [cited by applicant]
US 8536566B2 · Johansson et al. · 2013 [cited by applicant]
US 8738105B2 · Berkley et al. · 2014 [cited by applicant]
US 8854074B2 · Berkley · 2014 [cited by applicant]
US 9015215B2 · Berkley et al. · 2015 [cited by applicant]
US 9059674B2 · Chow et al. · 2015 [cited by applicant]
US 9129224B2 · Lanting et al. · 2015 [cited by applicant]
US 9178154B2 · Bunyk · 2015 [cited by applicant]
US 9183508B2 · King · 2015 [cited by applicant]
US 9471880B2 · Williams · 2016 [cited by applicant]
US 9495644B2 · Chudak et al. · 2016 [cited by applicant]
US 9710758B2 · Bunyk et al. · 2017 [cited by applicant]
US 9806711B1 · Abdo · 2017 [cited by applicant]
US 10002107B2 · Lanting · 2018 [cited by applicant]
US 10037493B2 · Harris et al. · 2018 [cited by applicant]
US 10068180B2 · Amin et al. · 2018 [cited by applicant]
US 10074792B1 · Ferguson et al. · 2018 [cited by applicant]
US 10134972B2 · Oliver et al. · 2018 [cited by applicant]
US 10268622B2 · Hilton et al. · 2019 [cited by applicant]
US 10467545B2 · Harris · 2019 [cited by applicant]
US 10938346B2 · Berkley et al. · 2021 [cited by applicant]
US 11348024B2 · Harris et al. · 2022 [cited by applicant]
US 11494683B2 · Amin et al. · 2022 [cited by applicant]
US 20020117656A1 · Amin et al. · 2002 [cited by applicant]
US 20020190381A1 · Herr et al. · 2002 [cited by applicant]
US 20030027724A1 · Rose et al. · 2003 [cited by applicant]
US 20030121028A1 · Coury et al. · 2003 [cited by applicant]
US 20030224753A1 · Bremond et al. · 2003 [cited by applicant]
US 20040078421A1 · Routt · 2004 [cited by applicant]
US 20040140537A1 · Il et al. · 2004 [cited by applicant]
US 20050062072A1 · Yamamoto et al. · 2005 [cited by applicant]
US 20050127915A1 · Schauwecker et al. · 2005 [cited by applicant]
US 20050140019A1 · Watanabe · 2005 [cited by applicant]
US 20060043541A1 · Tetelbaum · 2006 [cited by applicant]
US 20070212889A1 · Abatchev et al. · 2007 [cited by applicant]
US 20080052055A1 · Rose et al. · 2008 [cited by applicant]
US 20080238531A1 · Harris · 2008 [cited by applicant]
US 20090070402A1 · Rose et al. · 2009 [cited by applicant]
US 20090153180A1 · Herr · 2009 [cited by applicant]
US 20100182039A1 · Baumgardner et al. · 2010 [cited by applicant]
US 20120157319A1 · Tsukamoto · 2012 [cited by examiner]
US 20140229722A1 · Harris · 2014 [cited by applicant]
US 20140266406A1 · Abraham et al. · 2014 [cited by applicant]
US 20140345251A1 · Mclean et al. · 2014 [cited by applicant]
US 20150032991A1 · Lanting · 2015 [cited by examiner]
US 20150111754A1 · Harris et al. · 2015 [cited by applicant]
US 20160267032A1 · Rigetti et al. · 2016 [cited by applicant]
US 20170047161A1 · Ludois et al. · 2017 [cited by applicant]
US 20170062692A1 · Dial et al. · 2017 [cited by applicant]
US 20170178018A1 · Tcaciuc · 2017 [cited by examiner]
US 20170193388A1 · Filipp et al. · 2017 [cited by applicant]
US 20170344898A1 · Karimi et al. · 2017 [cited by applicant]
US 20180247974A1 · Oliver et al. · 2018 [cited by applicant]
US 20190019098A1 · Przybysz · 2019 [cited by applicant]
US 20190019099A1 · Hoskinson et al. · 2019 [cited by applicant]
US 20190237648A1 · Przybysz et al. · 2019 [cited by applicant]
US 20190393401A1 · Megrant · 2019 [cited by applicant]
US 20210013391A1 · Johnson et al. · 2021 [cited by applicant]
US 20210190885A1 · Swenson et al. · 2021 [cited by applicant]
CA 2386426A1 · 2001 [cited by applicant]
CN 102944855A · 2013 [cited by applicant]
CN 104462689A · 2015 [cited by applicant]
JP 2005142348A · 2005 [cited by applicant]
JP 2007250771A · 2007 [cited by applicant]
JP 2009065017A · 2009 [cited by applicant]
JP 2011524043A · 2011 [cited by applicant]
JP 2011197875A · 2011 [cited by applicant]
JP 2012064974A · 2012 [cited by applicant]
JP 6140679B2 · 2017 [cited by applicant]
JP 2018530931A · 2018 [cited by applicant]
JP 2019508876A · 2019 [cited by applicant]
JP 2020524064A · 2020 [cited by applicant]
WO 2004007964A1 · 2004 [cited by applicant]
WO 2004077600A1 · 2004 [cited by applicant]
WO 2005093649A1 · 2005 [cited by applicant]
WO 2004079649A3 · 2005 [cited by applicant]
WO 2006024939A2 · 2006 [cited by applicant]
WO 2007085074A1 · 2007 [cited by applicant]
WO 2015103372A1 · 2015 [cited by applicant]
WO 2022006114A1 · 2022 [cited by applicant]
WO 2022115278A1 · 2022 [cited by applicant]
Aaronson, “Thanksgiving Special: D-Wave at MIT,” Shtetl-Optimized—The Blog of Scott Aaronson, URL=http://www.scottaaronson.com/blog/?p=291, retrieved Apr. 14, 2011 (originally retrieved Nov. 28, 2007), 54 pages. [cited by applicant]
Abelson et al., “Superconductor Integrates Circuit Fabrication Technology”, IEEE Invited Paper, Oct. 10, 2004. https://ieeexplore.ieee.org/document/1335546. [cited by applicant]
Albash et al., “Simulated Quantum Annealing with Two All-to-All Connectivity Schemes”, arXiv:1603.03755v1 [quant-ph], Mar. 11, 2016. https://arxiv.org/abs/1603.03755. [cited by applicant]
Al-Saidi et al., “Several small Josephson junctions in a resonant cavity: Deviation from the Dicke model”, Physical Review B, Jun. 5, 2002. [cited by applicant]
Amin et al., “Decoherence in adiabatic quantum computation”, arXiv:0708.0384v1, Aug. 2, 2007. https://arxiv.org/abs/0708.0384. [cited by applicant]
Amin et al., “Probing Noise in Superconducinting Flux Qubits Using Macroscopic Resonant Tunneling” Sep. 1, 2007. [cited by applicant]
Angelakis et al., “Many body effects and cluster state quantum computation in strongly interacting systems of photons,” arXiv:0803.1665v1. Mar. 11, 2008. [cited by applicant]
Astafiev et al., “Single-Shot Measurement of the Joseph Charge Qubit,” Physical Review B 69(180507(R):1-4, 2004. [cited by applicant]
Averin et al., “Variable Electrostatic Transformer: Controllable Coupling of Two Charge Qubits,” Physical Review Letters 91(5): 057003-1-057003-4, Aug. 1, 2003. arXiv:cond-mat/0304166v1, Apr. 7, 2003. [cited by applicant]
Averin, D.V., “Adiabatic Quantum Computation with Cooper Pairs,” arXiv:quant-ph/9706026v1, Jun. 13, 1997, 18 pages. [cited by applicant]
Barenco et al., “Elementary gates for quantum computation,” Physical Review A 52(5):3457-3467, Nov. 1995. [cited by applicant]
Barends R. et al., “Coherent Josephson qubit suitable for scalable quantum integrated circuits,” arXiv:1304.2322v1 [quant-ph], Apr. 8, 2013, 10 pages. [cited by applicant]
Bartlett et al., “Simple Nearest-Neighbor Two-Body Hamiltonian System for Which the Ground State is a Universal Resource for Quantum Computation,” arXiv:quant-ph/0609002v3 Oct. 24, 2006. [cited by applicant]
Berggren, “Quantum Computing With Superconductors”, Proceedings of the IEEE, vol. 92(10), Oct. 1, 2004. https://www.researchgate.net/publication/2986358_Quantum_Computing_with_Superconductors. [cited by applicant]
Berkley et al., “Entangled Macroscopic Quantum States in Two Superconducting Qubits”, Science, vol. 300, Jun. 6, 2003. https://science.sciencemag.org/content/300/5625/1548. [cited by applicant]
Biamonte et al., “Realizable Hamiltonians for universal adiabatic quantum computers,” arXiv:0704.1287v2, Jun. 17, 2008, 7 pages. [cited by applicant]
Biamonte et al., “Physical Realizations of a Universal Adiabatic Quantum Computer,” Notice of Allowance dated Jun. 18, 2015, for U.S. Appl. No. 13/539,039, 9 pages. [cited by applicant]
Biamonte et al., “Physical Realizations of a Universal Adiabatic Quantum Computer,” Notice of Allowance dated Mar. 28, 2012, for U.S. Appl. No. 12/098,348, 8 pages. [cited by applicant]
Biamonte et al., “Physical Realizations of a Universal Adiabatic Quantum Computer,” Office Action dated Mar. 16, 2012, for U.S. Appl. No. 12/098,348, 6 pages. [cited by applicant]
Blais et al., Cavity Quantum Electrodynamics for Superconducting Electrical Circuits: An Architecture for Quantum Computation, Physical Review A 69(062320):1-14, 2004. [cited by applicant]
Blais et al., “Operation of universal gates in a solid-state quantum computer based on clean Josephson junctions between d-wave superconductors”, Physical Review A, 61, 042308, 2000. [cited by applicant]
Blais et al., “Tunable Coupling of Superconducting Qubits,” arXiv:cond-mat/0207112v3 [cond-mat.mes-hall], Mar. 18, 2003, 4 pages. [cited by applicant]
Blais, et al., “Cavity quantum electrodynamics for superconducting electrical circuits” an architecture for quantum computation, arXiv:cond-mat/0402216v1, Feb. 7, 2004, pp. 1-14 (Year:2004). [cited by applicant]
Blatter et al., “Design aspects of superconducting-phase quantum bits,” Physical Review B 63: 174511-1-174511-9, 2001. [cited by applicant]
Blatter, G., “The Qubit Duet,” Nature 421:796-797, Feb. 20, 2003. [cited by applicant]
Bocko et al., “Prospects for Quantum Coherent Computation Using Superconducting Electronics,” IEEE Transactions on Applied Superconductivity 7(2):3638-3641, Jun. 1997. [cited by applicant]
Bravyi et al., “The Complexity of Stoquastic Local Hamiltonian Problems,” arXiv:quant-ph/0606140v1, pp. 1-21, Jun. 16, 2006. [cited by applicant]
Buisson et al., “Entangled states in a Josephson charge qubit coupled to a superconducting resonator”, arXiv.org:cond/mat/0008275v1, Aug. 18, 2000. [cited by applicant]
Butcher, J.R., “Advances in Persistent-Current Qubit Research: Inductively Coupled Qubits and Novel Biasing Methods,” Final Report, Delft University of Technology, Jan. 10, 2002, 52 pages. [cited by applicant]
Carelli et al., “SQUID Systems for Macroscopic Quantum Coherence and Quantum Computing”, IEEE trans. Apple. Supercond., Mar. 1, 2001. https://ieeexplore.ieee.org/document/919321. [cited by applicant]
Castin et al., “Coherent Atomic Matter Waves: Proceedings of the Les Houches Summer School, Session LXXII in 1999,” Springer-Verlag, New York, ISBN 286883499X, pp. 184-188, 294-295, 302-303. [cited by applicant]
Chancellor et al., “A Direct Mapping of Max k-SAT and High Order Parity Checks to a Chimera Graph”, arXiv:1604.00651v1, Apr. 3, 2016. [cited by applicant]
Chancellor et al., “Circuit design for multi-body interactions in superconducting quantum annealing systems with applications to a scalable architecture”, arXiv:1603.09521v5, Oct. 13, 2017. [cited by applicant]
Chancellor et al., “Experimental Freezing of mid-Evolution Fluctuations with a Programmable Annealer”, arXiv:1605.07549 [quant-ph], May 25, 2016. https://arxiv.org/abs/1605.07549. [cited by applicant]
Chen et al., “Qubit architecture with high coherences and fast tunable coupling”, Physical Review Letters, Feb. 28, 2014. https://arxiv.org/abs/1402.7367. [cited by applicant]
Cheon, et al., “AIN Based RF MEMS Tunable Capacitor with Air-Suspended Electrode with Two Stages”, Journal of Semiconductor Technology and Science, vol. 14, No. 1, Feb. 2013, 7 pages. [cited by applicant]
Chinese Notice of Issuance dated Jun. 6, 2022 for Chinese Application No. 201680058686.7, 4 pages. [cited by applicant]
Choi, M-S., “Geometric Quantum Computation on Solid-State Qubits,” arXiv:quant-ph/0111019v4, Sep. 29, 2003, 7 pages. [cited by applicant]
Clarke et al., “Superconducting quantum bits,” Nature 453:1031-1042, Jun. 19, 2008. [cited by applicant]
Corato et al., “Adiabatic Quantum Computation with Flux Qbits,” Quantum Computing in Solid State Systems, ch 13, pp. 103-110, 2006. [cited by applicant]
Cormen et al., Introduction to Algorithms, The MIT Press, Cambridge, Massachusetts, pp. 964-985, 2000. [cited by applicant]
Cosmelli, C., “Controllable Flux Coupling for the Integration of Flux Qubits,” arXiv:cond-mat/0403690v1 [cond-mat.supr-con]. Mar. 29, 2004, 10 pages. [cited by applicant]
Devoret et al., “Superconducting Circuits for Quantum Information: An Outlook,” Science 339:1169-1174, Mar. 8, 2013. [cited by applicant]
Devoret et al., “Superconducting Qubits: A Short Review,” arXiv:cond-mat/0411174v1, Nov. 7, 2004, 41 pages. [cited by applicant]
DiVincenzo, “The Physical Implementation of Quantum Computation,” arXiv:quanti-ph/0002077v3, Apr. 13, 2000. [cited by applicant]
Dolan, “Offset masks for lift-off photoprocessing”, Applied Physics Letters, vol. 31(5), Sep. 1, 1977. https://aip.scitation.org/doi/10.1063/1.89690. [cited by applicant]
Duty et al., “Coherent Dynamics of a Josephson Charge Qubit,” Physical Review B 69(140503(R)):1-4, 2004. [cited by applicant]
Born , et al., Born et al., “Fabrication of Ultrasmall Tunnel Junctions by Electron Beam Direct-Writing”, IEEE, 11(1) Mar. 2001, 4 pages. [cited by applicant]
Schützhold et al., “Adiabatic quantum algorithms and quantum phase transitions”, arXiv:quant-ph/0608017, Aug. 1, 2006. https://arxiv.org/abs/quant-ph/0608017. [cited by applicant]
Shnirman et al., “Low-and High-Frequency Noise from Coherent two-Level Systems”, arXiv:cond-mat/0412668v2, Jan. 13, 2005. [cited by applicant]
Shor, “Introduction to Quantum Algorithms,” AT&T Labs—Research, arXiv:quant-ph/0005003 v2, pp. 1-17, Jul. 6, 2001. [cited by applicant]
Steffen et al., “Quantum computing: An IBM perspective”, IBM Journal of Research and Development, vol. 55, No. 5, Sep./Oct. 2011. [cited by applicant]
Steffen, A prototype Quantum Computer Using Nuclear Spins in Liquid Solution, Doctoral Thesis, Stanford University, Jun. 2003 pp. 1-370 (Year: 2003). [cited by applicant]
Strauch, Theory of Superconducting Phase Qubits, UMI Microform, Ann Arbor, Michigan, 2005, Chapter 8, “Conclusion,” pp. 298-306. [cited by applicant]
Suzuki et al., “Quantum Annealing of the Random-Field Ising Model Transverse Ferromagnetic Interactions,” arXiv:quant-ph/0702214v1, 6 pages, Feb. 23, 2007. [cited by applicant]
Tang et al., “2D implementation of quantum annealing algorisms for fourth order binary optimization problems”, Institute for Quantum Computing and Department of Electrical and Computer Engineering, arXiv:1605.03887, May… [cited by applicant]
Tokuda, “Analog Computation Using Single-Electron Circuits”, Analog Integrated Circuits and Signal Processing, Oct. 1, 2000. http://lalsie.ist.hokudai.ac.jp/publication/dlcenter.php?fn=paper/aicsp_2000_tokuda.pdf. [cited by applicant]
Vala et al., “Encoded Universality for Generalized Anisotropic Exchange Hamiltonians,” arXiv:quant-ph/0204016v1, Apr. 4, 2002, 15 pages. [cited by applicant]
Van Dam, “Quantum Computing: In the 'Death Zone'?,” Nature Physics 3:220-221, Apr. 2007. [cited by applicant]
Van der Ploeg et al., “Controllable Coupling of Superconducting Flux Qubits,” arXiv: cond-mat/0605588v1, May 24, 2006. [cited by applicant]
Van der Ploeg, et al., “Adiabatic Quantum Computation with Flux Qubits, First Experimental Results,” arXiv:cond-mat/0702580v1 [cond-mat.supr-con], Feb. 25, 2007, 6 pages. [cited by applicant]
Van der Wal et al., “Quantum Superposition of Macroscopic Persistent current states”, Science 290, pp. 773-777, 2000. [cited by applicant]
Van der Wal, C.H., “Quantum Superpositions of Persistent Josephson Currents,” Thesis, Published by DUP Science, Sep. 24, 2001, 121 pages. [cited by applicant]
Vinci et al., “Non-stoquastic interactions in quantum annealing via the aharonov-anandan phase”, arXiv:1701.07494v1 [quant-ph], Jan. 25, 2017. [cited by applicant]
Vion et al., “Manipulating the quantum state of an electrical circuit”, Science, 296, pp. 886-889 (2002). [cited by applicant]
Wallquist et al., “Superconducting Qubit Network with Controllable Nearest-Neighbor Coupling,” New Journal of Physics 7(178), 24 pages, 2005. https://iopscience.iop.org/article/10.1088/1367-2630/7/1/178/pdf. [cited by applicant]
Wallraff et al., “Strong Coupling of a Single Photon to a Superconducting Qubit Using Circuit Quantum Electrodynamics,” Nature 431:162-167, Sep. 9, 2004. [cited by applicant]
Wallraff, “Fluxon dynamics in annular Josephson junctions: from relativistic strings to quantum particles”, Friedrich-Alexander University of Erlangen-Nürnberg, Ph.D. Thesis, Apr. 1, 2001. [cited by applicant]
Wang et al., “Fast Entanglement of Two Charge-Phase Qubits Through Nonadiabatic Couling to a Large Josephson Junction,” Physical Review B 70:224515-1-224515-4, 2004. http://site.gscaep.ac.cn/ftp/cpsun/papers/PR/PRB04.pd… [cited by applicant]
Watanabe et al., “Resonance-Free Low-Pass Filters for the AC Josephson Voltage Standard,” IEEE Transactions on Applied Superconductivity 16(1):49-53, Mar. 2006. [cited by applicant]
Weber et al., “Coherent Coupled Qubits for Quantum Annealing,” arXiv:1701.06544v2 [quant-ph], Jun. 6, 2017, 14 pages. [cited by applicant]
Wei et al., “Preparation of multi-qubit W states in multiple resonators coupled by a superconducting qubit via adiabatic passage”, Quantum Inf Process, Apr. 14, 2015. [cited by applicant]
Wei et al., “Quantum Computation with Josephson-Qubits by Using a Current-Biased Information Bus,” arXiv:cond-mat/0407667 v1, pp. 1-13, Jul. 26, 2004. [cited by applicant]
Wendin et al., “Superconducting Quantum Circuits, Qubits and Computing,” arXiv:cond-mat/0508729v1 [cond-mat.supr-con], Aug. 30, 2005, 60 pages. [cited by applicant]
Wocjan et al., “Treating the Independent Set Problem by 2D Ising Interactions with Adiabatic Quantum Computing,” arXiv:quant-ph/0302027v1, pp. 1-13, Feb. 4, 2003. [cited by applicant]
Wu et al., “Dressed Qubits,” Physical Review Letters 91(9):1-4, Aug. 29, 2003. [cited by applicant]
Wu et al., “Qubits as Parafermions,” arXiv:quant-ph/0109078v3, May 28, 2002, 17 pages. [cited by applicant]
Wu et al., “Universal Quantum Logic from Zeeman and Anisotropic Exchange Interactions,” Physical Review A 66 (062314):1-5, 2002. [cited by applicant]
Yamamoto et al., “Demonstration of conditional gate operation using superconducting charge qubits”, Nature, vol. 425, Oct. 30, 2003. https://www.nature.com/articles/nature02015. [cited by applicant]
Yan et al., “A tunable coupling scheme for implementing high-fidelity two-qubit gates”, Arxiv:1803.09813v1, Mar. 26, 2018. [cited by applicant]
You et al., “Controllable Manipulation and Entanglement of Macroscopic Quantum States in Coupled Charge Qubits,” arXiv:cond-mat/0306363v1, Jun. 13, 2003. [cited by applicant]
You et al., “Scalable Quantum Computing with Josephson Charge Qubits,” arXiv:cond-mat/0306209v1, Jun. 2, 2003. [cited by applicant]
You, et al., “Fast Two-Bit Operations in Inductively Coupled Flux Qubits,” arXiv:cond-mat/0309491v3, pp. 1-10, Feb. 5, 2005. [cited by applicant]
Zagoskin et al., “Quantum Two-Level Systems in Josephson Junctions as Naturally Formed Qubits,” arXiv:cond-mat/0603753v3, Aug. 18, 2006. [cited by applicant]
Zagoskin et al., “Superconducting Qubits,” arXiv:0805.0164v1, May 1, 2008. [cited by applicant]
Zurek, “Decoherence and the transition from quantum to classical”, Physics Today, 44, 10, pp. 36-44, 1991. [cited by applicant]
Amin, Josephson Phase Qubit Without Tunneling, arXiv:cond-mat/0211638v3 , Mar. 4, 2003. [cited by applicant]
Averin , Variable Electrostatic Transformer: Controllable Coupling of Two Charge Qubits, arXiv:cond-mat/0304166v2, Jul. 28, 2003. [cited by applicant]
Chancellor N. , Circuit design for multi-body interactions in superconducting quantum annealing systems with applications to a scalable architecture, arXiv:1603.09521v1, Mar. 31, 2016. [cited by applicant]
Chiorescu, et al. “Coherent Quantum Dynamics of a Superconducting Flux Qubit”, arXiv:cond-mat/0305461v1, May 20, 2003. [cited by applicant]
Grajcar et al., “Adiabatic Quantum Evolution of Superconducting Flux Qubits,” arXiv:cond-mat/0407405 v1, pp. 1-7, Jul. 15, 2004. [cited by applicant]
Harris, Sign and Magnitude Tunable Coupler for Superconducting Flux Qubits, arXiv:cond-mat/0608253v1, Aug. 11, 2006 2006. [cited by applicant]
Horsman, et al., “Surface code quantum computing by lattice surgery”, 2012 Journal of Physics, 14 123011, 28 pages. [cited by applicant]
Hutter et al., “Inductively Coupled Charge Qubits with Asymmetric SQUIDs,” Jahrestagung der Deutschen Physikalischen Gesellschaft (DPG), 2005, 1 page—abstract only. [cited by applicant]
Ilichev, et al., “Continuous Monitoring of Rabi Oscillations in a Josephson Flux Qubit”, Physical Review Letters 91(9): 097906-1-097906-4, week ending Aug. 19, 2003. [cited by applicant]
Johnson et al., “Scalable Control System for a Superconducting Adiabatic Quantum Optimization Processor,” arXiv:0907.3757v2. Mar. 24, 2010. 14 pages. [cited by applicant]
Lanting et al., Geometrical dependence of the low-frequency noise in superconducting flux qubits, arXiv:0812.0378v1, Dec. 1, 2008. [cited by applicant]
Neihart, et al., “Twisted Transformers for Low Coupling RF and Mixed Signal Applications”, 2009 IEEE International Symposium on Circuits and Systems, Taipei, Taiwan, 2009, pp. 429-432. [cited by applicant]
Oliver, “Quantum Enhanced Optimization: Experimental Study Overview”, IARPA, Oct. 26, 2015. [cited by applicant]
You, et al., “Fast Two-Bit Operations in Inductively Coupled Flux Qubits,” arXiv:cond-mat/0309491v1, pp. 1-5, Sep. 22, 2003. [cited by applicant]
Kim, “Controllable Coupling in Phase-Coupled Flux Qubits,” arXiv:cond-mat/0602604v3, Sep. 29, 2006. [cited by applicant]
Koch et al., “Model for I/f Flux Noise in SQUIDs and Qubits,” arXiv:cond-mat/0702025v2, pp. 1-14, May 5, 2007. [cited by applicant]
Koval et al., “Narrow Long Josephson Junctions”, IEEE, Jun. 1999. https://ieeexplore.ieee.org/document/783894. [cited by applicant]
Lang, “Analog was not a Computer Trademark!,” Sound & Vibration:16-24, Aug. 2000. [cited by applicant]
Lantz et al., “Josephson Junction Qubit Network with Current-Controlled Interaction,” Proceedings of the Fourth International Workshop on Macroscopic Quantum Coherence and Computing (MQC2'04), Jun. 7-10, 2004, 13 pages. [cited by applicant]
Lechner et al., “A quantum annealing architecture with all-to-all connectivity from local interactions”, Science Advances. Oct. 23, 2015. https://advances.sciencemag.org/content/1/9/e1500838. [cited by applicant]
Leggett et al., “Dynamics of the dissipative tWo-state system”, Reviews of Modern Physics, 59, pp. 1-85, Jan. 1, 1987. [cited by applicant]
Leib et al., “A Transmon Quantum Annealer: Decomposing Many-Body Ising Constraints Into Pair Interactions”, arXiv:1604.02359v1 [quant-ph], Apr. 8, 2016. https://arxiv.org/abs/1604.02359. [cited by applicant]
Levitov, et al., “Quantum Spin Chains and Majorana States in Arrays of Coupled Qubits,” arXiv:cond-mat/0108266v2 [cond-mat.mes-hall]. Aug. 19, 2001, 7 pages. [cited by applicant]
Lidar, “On the quantum computational complexity of the Ising spin glass partition function and of knot invariants,” New Journal of Physics 6(167): 1-15, 2004. [cited by applicant]
Liu, Qichun et al., “Simulation of Three-dimensional Resonator for Quantum Computation,” Cryogenics & Superconductivity, vol. 42, No. 10, pp. 27-31, 2014. [cited by applicant]
Lykiardopoulou et al., “Improving nonstoquastic quantum annealing with spin-reversal transformations”, Arxiv:2010.00065v1, Sep. 30, 2020. [cited by applicant]
Maasen van den Brink et al., “Mediated Tunable Coupling of Flux Qubits,” arXiv:cond-mat/0501148v2, Oct. 13, 2005. [cited by applicant]
Maassen van den Brink, “Galvanic coupling of flux qubits simple theory and tunability”, (cond-mat.supr-con), May 16, 2006. https://arxiv.org/abs/cond-mat/0605398. [cited by applicant]
Madou, Fundamentals of Microfabrication, Second Edition, CRC Press LLC, Boca Raton, Florida, 2002. (book details provided). [cited by applicant]
Majer, et al., “Spectroscopy on Two Coupled Superconducting Flux Qubits”, arXiv:cond-mat/0308192v1, Aug. 10, 2003. [cited by applicant]
Majer, J.B., “Superconducting Quantum Circuits,” Thesis, published by DUP Science, Dec. 13, 2002, 120 pages. [cited by applicant]
Makhlin et al., “Quantum-state engineering with Josephson-junction devices,” arXIv:cond-mat/0011269v1, arXiv:cond-mat/0011269v1, Nov. 15, 2000. [cited by applicant]
Marina et al., “Improving nonstoquastic annealing with spin-reversal transformations”, arXiv:2010.00065v1, Sep. 30, 2020. [cited by applicant]
Martinis et al., “Decoherence of a superconducting qubit due to bias noise”, Physical Review B, Mar. 25, 2003. https://journals.aps.org/prb/abstract/10.1103/PhysRevB.67.094510. [cited by applicant]
Martinis et al., “Rabi Oscillations in a Large Josephson-Junction Qubit,” Physical Review Letters 89(11):117901-1-117901-4, Sep. 9, 2002. [cited by applicant]
Martinis, “Superconducting phase qubits,” Quantum Inf Process 8:81-103, 2009. [cited by applicant]
Mooij et al., “Josephson Persistent-Current Qubit,” Science 285:1036-1039, Aug. 13, 1999. [cited by applicant]
Nakamura et al., “Coherent control of macroscopic quantum states in a single-Cooper-pair-box,” Nature 398:786-788, Apr. 29, 1999. [cited by applicant]
Neill, “A path towards quantum supremacy with superconducting qubits”, PHD Thesis—University of California, Dec. 1, 2017. [cited by applicant]
Nielsen et al., “7.8 Other implementation schemes”, Quantum Computing and Quantum Information, 2000. http://mmrc.amss.cas.cn/tlb/201702/W020170224608149940643.pdf. [cited by applicant]
Nielsen et al., “4.5 Universal Quantum Gates”, Quantum Computing and Quantum Information, 1st ed. 2000. [cited by applicant]
Nielsen et al., “7.8 Other implementation schemes,” in Quantum Computation and Quantum Information, 1st ed., Cambridge University Press, Cambridge, 2000, pp. 343-345. [cited by applicant]
Nielsen et al., Quantum Computation and Quantum Information, Cambridge University Press, 10th ed., Cambridge, 2010. [cited by applicant]
Nishimori et al., “Exponential enhancement of the efficiency of quantum annealing by non-stoquastic hamiltonians”, arXiv:1609.03785v3 [quant-ph], Feb. 18, 2017. https://arxiv.org/abs/1609.03785. [cited by applicant]
Niskanen et al., “Quantum Coherent Tunable Coupling of Superconducting Qubits,” Science 316:723-726, May 4, 2007. [cited by applicant]
Niskanen et al., “Tunable Coupling Scheme for Flux Qubits at the Optimal Point,” arXiv:cond-mat/0512238v1, Dec. 12, 2005. [cited by applicant]
Notice of Allowance for U.S. Appl. No. 17/113,847, mailed Jul. 20, 2023, 11 pages. [cited by applicant]
Nunn, et al., Quantum Memory in Atomic Ensembles, Doctoral Thesis, Clarendon Laboratory, University of Oxford, 2008, pp. 1-524 (Year:2008). [cited by applicant]
Oliveria et al., “The complexity of quantum spin systems on a two-dimensional square lattice”, arXiv:quant-ph/0504050, v6, Jun. 3, 2008. [cited by applicant]
Orlando et al., “Superconducting persistent-current qubit,” Physical Review B 60(22):15398-15413, Dec. 1, 1999. [cited by applicant]
Ortlepp et al., “Access Time and Power Dissipation of a Model 256-Bit Single Flux Quantum RAM”, IEEE Transactions on Applied Superconductivity, vol. 24, No. 4, Aug. 2014. [cited by applicant]
Ortlepp et al., “Design Guidelines for Suzuki Stacks as Reliable High-speed Josephson Voltage Drivers”, Superconductor Science Technology, 26 (2013) 035007 (12pp). [cited by applicant]
Paauw, “Spectroscopy Experiments On Two Coupled Josephson Persistent Current Qubits,” Thesis Final Report, Delf University of Technology, Nov. 2002. [cited by applicant]
Pashkin et al., “Quantum Oscillations in Two Coupled Charge Qubits,” Nature 421:823-826, Feb. 20, 2003. [cited by applicant]
Plourde et al., “Entangling Flux Qubits with a Bipolar Dynamic Inductance,” Physical Review B 70, arXiv:quant-ph/0406049v1, Jun. 8, 2004, 4 pages. [cited by applicant]
Quintana, “Superconducting Flux Qubits for High-Connectivity Quantum Annealing Without Lossy Dielectrics,” Doctoral Thesis, UC Santa Barbara, 2017, 413 pages. https://escholarship.org/uc/item/9844c3h3. [cited by applicant]
Ramos et al., “Design for Effective Thermalization of Junctions for Quantum Coherence,” IEEE Transactions on Applied Superconductivity 11(1):998-1001, Mar. 2001. [cited by applicant]
Rocchetto et al., “Stabilisers as a design tool for new forms of Lechner-Hauke-Zoller Annealer”, arXiv:1603.08554 [quant-ph], May 2, 2016. https://arxiv.org/abs/1603.08554. [cited by applicant]
Rudo, “Influence of strong noise on the Adiabatic Quantum Computer,” University of Vienna, 2015, pp. 1-66. [cited by applicant]
Sandberg et al., “Tuning the field in a microwave resonator faster than the photon lifetime”, Applied Physics Letters, American Institute of Physics, vol. 92, No. 20, 3 pages, May 19, 2008. [cited by applicant]
Schaller et al., “The role of symmetries in adiabatic quantum algorithms”, arXiv:0708.1882v1, Aug. 14, 2007. https://arxiv.org/pdf/0708.1882v1.pdf. [cited by applicant]
Harris et al., ‘A Compound Josephson Junction Coupler for Flux Qubits With Minimal Crosstalk’, arXiv:0904.3784v3, Jul. 2009. [cited by applicant]
Japanese First Office Action for Japanese Patent Application No. 2022580739, dated Aug. 20, 2025, 4 pages. [cited by applicant]
Esteve et al., “Solid State Quantum Bit Circuits,” arXiv:cond-mat/0505676 [cond-mat.supr-con], May 27, 2005, 37 pages. [cited by applicant]
European Search Report, mailed Nov. 18, 2010, for EP 08733736.6, 12 pages. [cited by applicant]
European Search Report, mailed Oct. 13, 2010, for EP 05849198.6, 10 pages. [cited by applicant]
Extended European Search Report, dated Apr. 4, 2022, for European Application No. 21198672.4, 10 pages. [cited by applicant]
Farhi et al., “Quantum Adiabatic Evolution Algorithms versus Simulated Annealing,” MIT-CTP #3228, arXiv:quant-ph/0201031 v1, pp. 1-16, Jan. 8, 2002. [cited by applicant]
Feynman, “Simulating Physics with Computers,” International Journal of Theoretical Physics 21(6/7): 467-488, 1982. [cited by applicant]
Foxen et al., “Demonstrating a Continuous Set of Two-Qubit Gates for Near-Term Quantum Algorithms” Physical Review Letters 125, 120504 (2020), 6 pages. [cited by applicant]
Friedman et al., “Aharonov-Casher-Effect Suppression of Macroscopic Tunneling of Magnetic Flux,” arXiv:cond-mat/0109544v1 [cond-mat.mes-hall], Sep. 28, 2001, 9 pages. [cited by applicant]
Friedman et al., “Detection of a Schrodinger's Cat State in an rf-SQUID,” arXiv:cond-mat/0004293v2 2:1-7, Apr. 19, 2000. [cited by applicant]
Friedman et al., “Quantum superposition of distinct macroscopic states,” Nature 406:43-46, Jul. 6, 2000. [cited by applicant]
Grajcar et al., “Experimental Realization of Direct Josephson Coupling Between Superconducting Flux Qubits,” arXiv:cond-mat/0501085v1, Jan. 5, 2005, 4 pages. [cited by applicant]
Grajcar et al., “Four-Qubit Device with Mixed Couplings”, Physical Review Letters, Feb. 3, 2006. https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.96.047006. [cited by applicant]
Grajcar et al., “Possible Implementation of Adiabatic Quantum Algorithm with Superconducting Flux Qubits,” arXiv:cond-mat/0407405v3 [cond-mat.supr-con], Mar. 29, 2005, 8 pages. [cited by applicant]
Groszkowski et al., “Tunable coupling between three qubits as a building block for a superconducting quantum computer”, arXiv:1102.0307v2 [quant-ph], Oct. 20, 2011. https://arxiv.org/abs/1102.0307. [cited by applicant]
Gu et al., “Encoding Universal Computation in the Ground States of Ising Lattices”, arXiv:1204.1084v2 [cond-mast.stat-mech], Jul. 17, 2012. https://arxiv.org/abs/1204.1084. [cited by applicant]
Han et al., “Time-Resolved Measurement of Dissipation-Induced Decoherence in a Josephson Junction,” Science 293:1457-1459, Aug. 24, 2001. [cited by applicant]
Harrabi, et al. “Engineered selection rules for tunable coupling in a superconducting quantum circuit”, Physical Reviews B 79, 020507(r) (2009), 4 pages. [cited by applicant]
Harris et al., “A Compound Josephson Junction Coupler for Flux Qubits with Minimal Crosstalk,” arXiv:0904.3784v1 [cond-mat.supr-con] Apr. 24, 2009, 4 pages. [cited by applicant]
Harris et al., “Probing Noise in Flux Qubits via Macroscopic Resonant Tunneling”, arXiv:0712.0838v2 [cond-mat.mes-hall], Feb. 8, 2008, pp. 1-4. [cited by applicant]
Harris et al., “Sign and Magnitude Tunable Coupler for Superconducting Flux Qubits,” arXiv:cond-mat/0608253v3 [cond-mat.supr-con], Jul. 5, 2007. 5 pages. [cited by applicant]
Harris et al., “Synchronization of Multiple Coupled rf-SQUID Flux Qubits”, arXiv:0903.1884v1, Mar. 11, 2009. https://arxiv.org/abs/0903.1884. [cited by applicant]
Harris et al., “Experimental Demonstration of a Robust and Scalable Flux Qubit,” arXiv:0909.4321v1, Sep. 24, 2009, 20 pages. [cited by applicant]
Harris et al., “Experimental Investigation of an Eight-Qubit Unit Cell in a Superconducting Optimization Processor,” arXiv:1004.1628v2, Jun. 28, 2010, 16 pages. [cited by applicant]
He et al., “Generating multipartite entangled states of qubits distributed in different cavities”, Quantum Informatoin Processing, vol. 13, No. 6, pp. 1381-1395 Feb. 11, 2014. [cited by applicant]
He et al., “Switchable Coupling Between Charge and Flux Qubits,” arXiv:cond-mat/0703012v2 [cond-mat.supr-con], 5 pages, 2007. [cited by applicant]
Hime et al., “Solid-State Qubits with Current-Controlled Coupling,” Science 314:1427-1429, 2006. [cited by applicant]
Hime et al., “Supporting Online Material for Solid-State Qubits with Current-Controlled Coupling,” retrieved from http://www.sciencemag.org/cgi/content/full/314/5804/1427/DC1, 5 pages, Dec. 1, 2006. [cited by applicant]
Hita-Perez et al., “Ultrastrong capacitive coupling of flux qubits”, arXiv:2108.02549v1, Aug. 5, 2021. https://arxiv.org/abs/2108.02549. [cited by applicant]
Hormozi et al., “Nonstoquastic Hamiltonians and Quantum Annealing of an Ising Spin Glass,” arXiv:1609.06558v2 [quant-ph], May 15, 2017, 9 pages. [cited by applicant]
Hu et al., “Decoherence and dephasing in spin-based solid state quantum computers”, arXiv.org:cond-mat/0108339v2, Sep. 6, 2001, (2001). [cited by applicant]
Hua et al., “Microstrip Bandpass Filters Using Dual-Mode Resonators with Internal Coupled Lines,” Progress in Electromagnetics Research C, 21:99-111, 2011. [cited by applicant]
Hutter et al., “Parafermions in a Kagome lattice of qubits for topological quantum computation”, arXiv:1505.01412v1, May 6, 2015. [cited by applicant]
Hutter et al., “Tunable Coupling of qubits: nonadiabatic corrections”, arXiv:cond-mat/0602086v2, May 12, 2006. https://arxiv.org/abs/cond-mat/0602086. [cited by applicant]
Il'ichev et al., “Continuous Monitoring of Rabi Oscillations in a Josephson Flux Qubit,” arXiv:cond-mat/0303433v1, Mar. 20, 2003. [cited by applicant]
Il'ichev et al., “Radio-Frequency Method for Investigation of Quantum Properties of Superconducting Structures,” arXiv:cond-mat/0402559v3, Jun. 23, 2004, 10 pages. [cited by applicant]
Inokuchi et al., “Analog computation using quantum-flux parametron devices,” Physica C 357-360 :1618-1621, 2001. [cited by applicant]
International Search Report and Written Opinion for PCT/US2018/066613, mailed Mar. 29, 2019, 24 pages. [cited by applicant]
International Search Report and Written Opinion for PCT/US2022/081507 dated Apr. 24, 2023, 12 pages. [cited by applicant]
Ithier, “manipulation, readout and analysis of the decoherence of a superconducting quantum bit, Doctoral Thesis, ”Universite's Paris VI, Feb. 12, 2007, pp. 1-0202 (year:2007). [cited by applicant]
Jiang, “Superconduccting Microelectroincs Device—Merit Units for VLSI”, Cryogenics & Superconducctivity, vol. 4, pp. 27-34, 1982. [cited by applicant]
Johansson et al., “Landau-Zener Transitions in an Adiabatic Quantum Computer”, arXiv:0807.0797v1, Jul. 4, 2008. https://arxiv.org/abs/0807.0797. [cited by applicant]
Johnson et al., “Scalable Control System for a Superconducting Adiabatic Quantum Optimization Processor,” arXiv:0907.3757v1. Jul. 22, 2009. [online] Available. chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/https:/… [cited by applicant]
Joyez et al., “Observation of Parity-Induced Suppression of Josephson Tunneling in the Superconducting Single Electron Transistor”, Physical Review Letters, 72(15)12458 2461, (1994). [cited by applicant]
Kaminsky et al., “Scalable Superconducting Architecture for Adiabatic Quantum Computation,” arXiv:quant-ph/0403090v1, Mar. 11, 2004, 5 pages. [cited by applicant]
Kempe et al., “The Complexity of the Local Hamiltonian Problem”, arXiv:quant-ph/0406180, Jun. 24, 2004. https://arxiv.org/abs/quant-ph/0406180. [cited by applicant]
Kerman et al., “Quantum Enhanced Optimization: Experimental Study Overview”, IARPA, Oct. 26, 2015. [cited by applicant]
Kim et al., “Coupling of Josephson Current Qubits Using a Connecting Loop,” arXiv:cond-mat/0305127v1, May 7, 2003. [cited by applicant]