IP Library › Granted Patent US 12,271,783
Granted Patent B2
US 12,271,783 · App. 17/547,146 · Granted Apr 8, 2025

Control circuit comprising symmetric asymmetric threaded superconducting quantum interference devices (symmetric ATSs)

Inventor: Amir H. Safavi-Naeini (Palo Alto, CA)
Assignee: Amazon Technologies, Inc.
G06N10/40G06N10/20
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Quick Facts
Patent No.
US 12,271,783
App. No.
17/547,146
Granted
Apr 8, 2025
Kind
B2
Abstract

A fault tolerant quantum computer is implemented using hybrid acoustic-electric qubits or electromagnetic qubits, as a few examples. A control circuit includes symmetrically arranged asymmetrically threaded superconducting quantum interference devices (ATSs) that excite phonons in a resonator by driving a storage mode of the resonator and dissipate phonons from the resonator via an open transmission line coupled to the control circuit, wherein the open transmission line is configured to absorb photons from a dump mode of the control circuit. The symmetric ATSs are arranged such that undesirable terms in respective Hamiltonians for the ATSs individually, cancel each other out when combined in the symmetric configuration.

Claims (55)

1. A system, comprising:

one or more resonators; and

a control circuit coupled with the one or more resonators, the control circuit comprising:

two or more symmetrically arranged asymmetrically-threaded superconducting quantum interference devices (ATSs),

wherein the control circuit is configured to:

excite phonons in the one or more resonators by driving a storage mode of the one or more resonators; and

dissipate phonons from the one or more resonators via an open transmission line coupled to the control circuit configured to absorb photons from a dump mode of the control circuit, and

wherein respective junctions of the symmetrically arranged ATSs are arranged such that for a symmetric mode:

a first set of junctions of a first one of the ATSs connect on a first side to a positive phase difference potential node and connect on a second side to a negative phase difference potential node; and

a second set of junctions of a second one of the ATSs connect on another first side to another positive phase difference potential node and connect on another second side to a same negative phase difference potential node as the junctions of the first one of the ATSs.

2. The system of claim 1 , wherein the symmetrically arranged ATSs are arranged such that Hamiltonian interactions across the first set of junctions and Hamiltonian interactions across the second set of junctions generate positive and negative ϕ a ϕ b 2 terms that cancel each other out,

wherein ϕ a is a potential for a storage like eigenmode, and

wherein ϕ b is a potential for a dump like eigenmode.

3. The system of claim 2 , wherein the symmetrically arranged ATSs are arranged such that Hamiltonian interactions across the first set of junctions and Hamiltonian interactions across the second set of junctions generate positive and negative ϕ a terms that cancel each other out.

4. The system of claim 3 , wherein the symmetrically arranged ATSs are arranged such that Hamiltonian interactions across the first set of junctions and Hamiltonian interactions across the second set of junctions generate positive and negative ϕ a 3 terms that cancel each other out.

5. The system of claim 2 , wherein the phonons are excited in the one or more resonators and dissipated from the one or more resonators in pairs comprising two phonons.

6. The system of claim 1 , wherein the excitation and dissipation of the phonon pairs is induced via a non-linear interaction between the storage mode of the one or more resonators and the dump mode of the control circuit, wherein a square of the storage mode of the resonator is coupled to the dump mode of the control circuit via a two-phonon coupling rate (g 2 ), and wherein a decay rate at which photons are absorbed via the open transmission line is approximately ten times or greater than the coupling rate (g 2 ).

7. The system of claim 4 , wherein elimination of the ϕ a ϕ b 2 term in the Hamiltonian interactions for the control circuit enables greater de-tuning of the dump and storage modes stabilized by the control circuit as compared to a control circuit with a single ATS or a control circuit with non-symmetric ATSs.

8. A method of stabilizing coherent state superpositions, the method comprising:

exciting phonons by driving a storage mode; and

dissipating phonons via an open transmission line coupled to a control circuit configured to absorb photons from a dump mode of the control circuit,

wherein the control circuit comprises two or more symmetrically arranged asymmetrically-threaded superconducting quantum interference devices (ATSs).

9. The method of claim 8 , wherein the symmetrically arranged ATSs are arranged such that Hamiltonian interactions across the first set of junctions and Hamiltonian interactions across the second set of junctions generate positive and negative ϕ a ϕ b 2 terms that cancel each other out,

wherein ϕ a is a potential for the overall control circuit, and

wherein ϕ b is a potential across an individual set of junctions of the first or second ATS.

10. The method of claim 9 , wherein the symmetrically arranged ATSs are arranged such that Hamiltonian interactions across the first set of junctions and Hamiltonian interactions across the second set of junctions generate positive and negative ϕ a terms that cancel each other out.

11. The method of claim 9 , wherein the symmetrically arranged ATSs are arranged such that Hamiltonian interactions across the first set of junctions and Hamiltonian interactions across the second set of junctions generate positive and negative ϕ a 3 terms that cancel each other out.

12. The method of claim 8 , wherein respective junctions of the symmetrically arranged ATSs are arranged such that for a symmetric mode:

a first set of junctions of the first ATS connect on a first side to a positive phase difference potential node and connect on a second side to a negative phase difference potential node;

a second set of junctions of the second ATS connect on another first side to another positive phase difference potential node connect on another second side to a same negative phase difference potential node as the junctions of the first ATS.

13. The method of claim 8 , wherein the phonons are excited in a first resonator by driving the storage mode for the first resonator and the phonons are dissipated from the first resonator via the control circuit and the open transmission line, the method further comprising:

causing phonons to be excited in one or more additional resonators by driving respective storage modes of the one or more additional resonators; and

dissipating phonons from the one or more additional mechanical resonators via the open transmission line configured to absorb the photons from the dump mode of the control circuit,

wherein the symmetric ATS is used to cause the phonons to be excited in the mechanical and the one or more additional resonators.

14. The method of claim 8 , further comprising:

filtering out, via one or more microwave filters, correlated decay or emission terms of storage modes of two or more of the resonators.

15. A system, comprising:

two or more resonators; and

a control circuit coupled with the two or more resonators, the control circuit comprising:

two or more symmetrically arranged asymmetrically-threaded superconducting quantum interference devices (ATSs).

16. The system of claim 15 , wherein respective junctions of the symmetrically arranged ATSs are arranged such that for a symmetric mode:

a first set of junctions of a first one of the ATSs connect on a first side to a positive potential node and connect on a second side to a negative potential node;

a second set of junctions of a second one of the ATSs connect on another first side to another positive potential node connect on another second side to a same negative potential node as the junctions of the first ATS.

17. The system of claim 15 , wherein the symmetrically arranged ATSs are arranged such that Hamiltonian interactions across the first set of junctions and Hamiltonian interactions across the second set of junctions generate positive and negative ϕ a ϕ b 2 terms that cancel each other out,

wherein ϕ a is a potential for a storage like eigenmode, and

wherein ϕ b is a potential for a dump like eigenmode.

18. The system of claim 15 , wherein the symmetrically arranged ATSs are arranged such that Hamiltonian interactions across the first set of junctions and Hamiltonian interactions across the second set of junctions generate positive and negative ϕ a terms that cancel each other out,

wherein ϕ a is a potential for a storage like eigenmode, and

wherein ϕ b is a potential for a dump like eigenmode.

19. The system of claim 15 , wherein the symmetrically arranged ATSs are arranged such that Hamiltonian interactions across the first set of junctions and Hamiltonian interactions across the second set of junctions generate positive and negative ϕ a 3 terms that cancel each other out,

wherein ϕ a is a potential for a storage like eigenmode, and

wherein ϕ b is a potential for a dump like eigenmode.

20. The system of claim 15 , wherein the two or more resonators comprise:

mechanical resonators; or

electromagnetic resonators.

Assignments (1)
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Mar 29, 2024
From: SAFAVI-NAEINI, AMIR H.
To: AMAZON TECHNOLOGIES, INC.
Reel/Frame 066951/0687 →
Continuity (1)
Related Publication 20230186132A1 · Jun 15, 2023
References Cited (100)
US 20220156441A1 · Campbell · 2022 [cited by examiner]
Sergey Bravyi, et al., “Quantum Codes on a Lattice with Boundary,” ArXiv Preprint: arXiv:quant-ph/9811052, 1998 pp. 1-6. [cited by applicant]
J. O'Gorman and E. T. Campbell, “Quantum Computation with Realistic Magic State Factories,” Physical Review A 95, 032338 (2017), arXiv:1605.07197, pp. 1-22. [cited by applicant]
M. Motta, E. Ye, J. R. McClean, Z. Li, A. J. Minnich, R. Babbush, and G. K.-L. Chan, “Low rank representations for quantum simulation of electronic structure,” (2018), arXiv:1808.02625, pp. 1-8. [cited by applicant]
C. Gidney and M. Ekera, “How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits” (2019), arXiv:1905.09749 [quant-ph], pp. 1-31. [cited by applicant]
E. Campbell, A. Khurana, and A. Montanaro, “Applying Quantum Algorithms to Constraint Satisfaction Problems,” Quantum 3, 167 (2019), arXiv:1810.05582, pp. 1-30. [cited by applicant]
D. Kivlichan, C. Gidney, D. W. Berry, N. Wiebe, J. McClean, W. Sun, Z. Jiang, N. Rubin, A. Fowler, A. Aspuru-Guzik, and et al., “Improved Fault-Tolerant Quantum Simulation of Condensed-Phased Correlated Electrons via Tr… [cited by applicant]
D. K. Tuckett, S. D. Bartlett, and S. T. Flammia, “Ultrahigh Error Threshold for Surface Codes with Biased Noise,” Phys. Rev. Lett. 120, 050505 (2018), arXiv: 1708.08474, pp. 1-6. [cited by applicant]
D. K. Tuckett, A. S. Darmawan, C. T. Chubb, S. Bravyi, S. D. Bartlett, and S. T. Flammia, “Tailoring Surface Codes for Highly Biased Noise,” Phys. Rev. X 9, 041031 (2019), arXiv:1812.08186, pp. 1-22. [cited by applicant]
D. K. Tuckett, S. D. Bartlett, S. T. Flammia, and B. J. Brown, “Fault-Tolerant Thresholds for the Surface Code in Excess of 5% Under Biased Noise,” Phys. Rev. Lett. 124, 130501 (2020), arXiv:1907.02554, pp. 1-10. [cited by applicant]
J. P. Bonilla Ataides, D. K. Tuckett, S. D. Bartlett, S. T. Flammia, and B. J. Brown, “The XZZX surface code,” (2020), arXiv:2009.07851 [quant-ph], pp. 1-16. [cited by applicant]
P. Aliferis and J. Preskill, “Fault-Tolerant Quantum Computation Against Biased Noise,” Phys. Rev. A 78, 052331 (2008), arXiv:0710.1301, pp. 1-9. [cited by applicant]
S. Puri, L. St-Jean, J. A. Gross, A. Grimm, N. E. Frattini, P. S. Iyer, A. Krishna, S. Touzard, L. Jiang, A. Blais, and et al., “Bias-Preserving Gates with Stabilized CAT Quibits,” Science Advances 6, eaay5901 (2020), a… [cited by applicant]
J. Guillaud and M. Mirrahimi, “Repetition Cat Qubits for Fault-Tolerant Quantum Computation,” Phys. Rev. X 9, 041053 (2019), arXiv:1904.09474, pp. 1-23. [cited by applicant]
J. Guillaud and M. Mirrahimi, “Error Rates and Resource Overheads of Repetition Cat Qubits,” (2020), arXiv:2009.10756 [quant-ph], pp. 1-17. [cited by applicant]
M. Mirrahimi, Z. Leghtas, V. V. Albert, S. Touzard, R. J. Schoelkopf, L. Jiang, and M. H. Devoret, “Dynamically Protected Cat-Quibits: A New Paradigm for Universal Quantum Computation,” New Journal of Physics 16, 045014… [cited by applicant]
S. Puri, S. Boutin, and A. Blais, “Engineering the Quantum States of Light in a Kerr-nonlinear Resonator by Two-Photon Driving,” NPJ Quantum Inf. 3, 18 (2017), pp. 1-7. [cited by applicant]
J. Cohen, “Autonomous quantum error correction with superconducting qubits,” Ph.D. thesis, Universite Paris sciences et lettres (2017), HAL archives-ouvertes.fr, pp. 1-164. [cited by applicant]
V. V. Albert, K. Noh, K. Duivenvoorden, D. J. Young, R. T. Brierley, P. Reinhold, C. Vuillot, L. Li, C. Shen, S. M. Girvin, B. M. Terhal, and L. Jiang, “Performance and Structure of Single-Mode Bosonic Codes,” Phys. Rev… [cited by applicant]
A. Joshi, K. Noh, and Y. Y. Gao, “Quantum Information Processing with Bosonic Qubits in Circuit QED,” arXiv e-prints , arXiv:2008.13471 (2020), arXiv:2008.13471 [quant-ph], pp. 1-26. [cited by applicant]
W. Cai, Y. Ma, W. Wang, C. L. Zou, and L. Sun, “Bosonic Quantum Error Correction Codes in Superconducting Quantum Circuits,” arXiv e-prints , arXiv:2010.08699 (2020), arXiv:2010.08699 [quant-ph], pp. 1-23. [cited by applicant]
Z. Leghtas, S. Touzard, I. M. Pop, A. Kou, B. Vlastakis, A. Petrenko, K. M. Sliwa, A. Narla, S. Shankar, M. J. Hatridge, M. Reagor, L. Frunzio, R. J. Schoelkopf, M. Mirrahimi, and M. H. Devoret, “Confining the State of … [cited by applicant]
S. Touzard, A. Grimm, Z. Leghtas, S. Mundhada, P. Reinhold, C. Axline, M. Reagor, K. Chou, J. Blumo, K. Sliwa, and et al., “Coherent Oscillations inside a Quantum Manifold Stabilized by Dissipation,” Physical Review X 8… [cited by applicant]
S. Puri, A. Grimm, P. Campagne-Ibarcq, A. Eickbusch, K. Noh, G. Roberts, L. Jiang, M. Mirrahimi, M. H. Devoret, and S. M. Girvin, Stabilized Cat in a Driven Nonlinear Cavity: A Fault-Tolerant Error Syndrome Detector, Ph… [cited by applicant]
A. Grimm, N. E. Frattini, S. Puri, S. O. Mundhada, S. Touzard, M. Mirrahimi, S. M. Girvin, S. Shankar, and M. H. Devoret, “Stabilization and Operation of a Kerr-cat qubit,” Nature 584, 205 (2020), arXiv:1907.12131, pp. … [cited by applicant]
R. Lescanne, M. Villiers, T. Peronnin, A. Sarlette, M. Delbecq, B. Huard, T. Kontos, M. Mirrahimi, and Z. Leghtas, “Exponential Suppression of bit-flips in a Qubit Encoded in an Oscillator,” Nature Physics 16, 509 (2020… [cited by applicant]
F. Mac Williams and N. Sloane, “The Theory of Error-Correcting Codes,” BOOK, (North Holland, 1988), pp. 1-770. [cited by applicant]
G. S. MacCabe, H. Ren, J. Luo, J. D. Cohen, H. Zhou, A. Sipahigil, M. Mirhosseini, and O. Painter, “Phononic Bandgap Nano-acoustic Cavity with Ultralong Phonon Lifetime,” Science 370, 840 (2020), pp. 1-43. [cited by applicant]
P. Arrangoiz-Arriola, E. A. Wollack, Z. Wang, M. Pechal, W. Jiang, T. P. McKenna, J. D. Witmer, R. Van Laer, and A. H. Safavi-Naeini, “Resolving the energy levels of nanomechanical oscillator,” Nature vol. 571, 537 (201… [cited by applicant]
E. A. Wollack, A. Y. Cleland, P. Arrangoiz-Arriola, T. P. McKenna, R. G. Gruenke, R. N. Patel, W. Jiang, C. J. Sarabalis, and A. H. Safavi-Naeini, “Loss channels affecting lithium niobate phononic crystal resonators at … [cited by applicant]
S. Bravyi and J. Haah, “Magic-state distillation with low overhead,” CORE, Phys. Rev. A 86, 052329 (2012 American Physical Society), pp. 1-10. [cited by applicant]
A. M. Meier, B. Eastin, and E. Knill, “Magic-State Distillation with the Four-Qubit Code,” Quant. Inf. and Comp. 13, 195 (2013), pp. 1-10. [cited by applicant]
E. T. Campbell and M. Howard, “Magic state parity-checker with pre-distilled components,” Quantum 2, 56 (2018), pp. 1-19. [cited by applicant]
S. Bravyi and A. Kitaev, “Universal Quantum Computation with Ideal Clifford Gates and Noisy Ancillas,” CORE, Phys. Rev. A 71, 022316 (2005 American Physical Society), pp. 1-14. [cited by applicant]
J. P. Paz and W. H. Zurek, “Continuous Error Correction,” Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 454, pp. 355-364 (1998). [cited by applicant]
C. Ahn, A. C. Doherty, and A. J. Landahl, “Continuous Quantum Error Correction via Quantum Feedback Control,” Phys. Rev. A 65, 042301 (2002), pp. 1-10. [cited by applicant]
M. Sarovar and G. J. Milburn, “Continuos Quantum Error Correction by Cooling,” Phys. Rev. A 72, 012306 (2005), pp. 1-7. [cited by applicant]
P. T. Cochrane, G. J. Milburn, and W. J. Munro, “Macroscopically Distinct Quantum Superposition States as a Bosonic Code for Amplitude Damping,” Phys. Rev. A 59, 2631 (1999), pp. 1-5. [cited by applicant]
H. Jeong and M. S. Kim, Phys. “Efficient Quantum Computation Using Coherent States,” Rev. A 65, 042305 (2002 The American Physical Society), pp. 1-6. [cited by applicant]
F. Reiter and A. S. Srensen, “Effective Operator Formalism for Open Quantum Systems,” Phys. Rev. A 85, 032111 (2012), pp. 1-11. [cited by applicant]
N. E. Frattini, U. Vool, S. Shankar, A. Narla, K. M. Sliwa, and M. H. Devoret, “3-Wave Mixing Josephson Dipole Element,” Applied Physics Letters 110, 222603 (2017), https://doi.org/10.1063/1.4984142, pp. 1-5. [cited by applicant]
M. Mirhosseini, A. Sipahigil, M. Kalaee, and O. Painter, “Quantum transduction of optical photons from a superconducting qubit,” (2020), arXiv:2004.04838 [quant-ph], pp. 1-17. [cited by applicant]
R. Lescanne, L. Verney, Q. Ficheux, M. H. Devoret, B. Huard, M. Mirrahimi, and Z. Leghtas, “Escape of a Driven Quantum Josephson Circuit into Unconfined States,” Phys. Rev. Applied 11, 014030 (2019), pp. 1-12. [cited by applicant]
D. Sank, Z. Chen, M. Khezri, J. Kelly, R. Barends, B. Campbell, Y. Chen, B. Chiaro, A. Dunsworth, A. Fowler, E. Jerey, E. Lucero, A. Megrant, J. Mutus, M. Neeley, C. Neill, P. J. J. O'Malley, C. Quintana, P. Roushan, A.… [cited by applicant]
Y. Zhang, B. J. Lester, Y. Y. Gao, L. Jiang, R. J. Schoelkopf, and S. M. Girvin, “Engineering Bilinear Mode Coupling in Circuit QED: Theory and Experiment,” Phys. Rev. A 99, 012314 (2019 American Physical Society), pp. … [cited by applicant]
L. Verney, R. Lescanne, M. H. Devoret, Z. Leghtas, and M. Mirrahimi, “Structural Instability of Driven Josephson Circuits Prevented by an Inductive Shunt,” Phys. Rev. Applied 11, 024003 (2019 American Physical Society),… [cited by applicant]
D. F. V. James and J. Jerke, Can. J. “Effective Hamiltonian Theory and Its Applications in Quantum Information,” Phys. 35, 625 (2007), pp. 1-5. [cited by applicant]
D. Gamel and D. F. V. James, “Time Averaged Quantum Dynamics and The Validity of the Effective Hamiltonian Model,” Phys. Rev. A 82, 052106 (2010), pp. 1-8. [cited by applicant]
R. K. Naik, N. Leung, S. Chakram, P. Groszkowski, Y. Lu, N. Earnest, D. C. McKay, J. Koch, and D. I. Schuster, “Random Access Quantum Information Processors Using Multimode Circuit Quantum Electrodynamics,” Nature Commu… [cited by applicant]
M. Pechal, P. Arrangoiz-Arriola, and A. H. Safavi-Naeini, “Superconducting Circuit Quantum Computing with Nanomechanical Resonators as Storage,” Quantum Science and Technology. 4, 015006 (2018), pp. 1-10. [cited by applicant]
C. T. Hann, C.-L. Zou, Y. Zhang, Y. Chu, R. J. Schoelkopf, S. M. Girvin, and L. Jiang, “Hardware-Efficient Quantum Random Access Memory with Hybrid Quantum Acoustic Systems,” Phys. Rev. Letters 123, 250501 (2019 America… [cited by applicant]
P. Mundada, G. Zhang, T. Hazard, and A. Houck, “Suppression of Qubit Crosstalk ina Tunable Coupling Superconducting Circuit,” Phys. Rev. Appl. 12, 10.1103/PhysRevApplied.12.054023, pp. 1-11, (2019). [cited by applicant]
Y. Chen, C. Neill, P. Roushan, N. Leung, M. Fang, R. Barends, J. Kelly, B. Campbell, Z. Chen, B. Chiaro, A. Dunsworth, E. Je rey, A. Megrant, J. Y. Mutus, P. J. J. O'Malley, C. M. Quintana, D. Sank, A. Vainsencher, J. W… [cited by applicant]
L. Sun, A. Petrenko, Z. Leghtas, B. Vlastakis, G. Kirchmair, K. Sliwa, A. Narla, M. Hatridge, S. Shankar, J. Blumo, et al., “Tracking Photon Jumps ith Repeated Quantum Non-Demolition Parity Measurements,” Nature 511, 44… [cited by applicant]
C. T. Hann, S. S. Elder, C. S. Wang, K. Chou, R. J. Schoelkopf, and L. Jiang, “Robust Readout of Bosonic Qubits in the Dispersive Coupling Regime,” Phys. Rev. A 98, 022305 (2018 American Physical Society), pp. 1-13. [cited by applicant]
S. S. Elder, C. S. Wang, P. Reinhold, C. T. Hann, K. S. Chou, B. J. Lester, S. Rosenblum, L. Frunzio, L. Jiang, and R. J. Schoelkopf, “High-Fidelity Measurement of Qubits Encoded in Multilevel Superconducting Circuits,”… [cited by applicant]
N. Didier, J. Bourassa, and A. Blais, Fast Quantum Nondemolition Readout by Parametric Modulation of Longitudinal Qubit-Oscillator Interaction, Phys. Rev. Letters, 115, 203601 (2015 American Physical Society), pp. 1-5. [cited by applicant]
A. A. Clerk, M. H. Devoret, S. M. Girvin, F. Marquardt, and R. J. Schoelkopf, “Introduction to Quantum Noise, Measurement and Amplification,” Rev. Mod. Phys. 82, 1155 (2010), pp. 1-96. [cited by applicant]
P. Krantz, M. Kjaergaard, F. Yan, T. P. Orlando, S. Gustavsson, and W. D. Oliver, “A Quantum Engineer's Guide to Superconduction Qubits,” Applied Physics Reviews 6, 021318 (2019), pp. 1-58. [cited by applicant]
Y. Tomita and K. M. Svore, “Low-Distance Surface Codes under Realistic Quantum Noise,” Physical Review A 90, 062320 (2014), arXiv preprint: arXiv:1404.3747v1, pp. 1-14. [cited by applicant]
D. P. DiVincenzo and P. Aliferis, Effective Fault-Tolerant Quantum Computation with Slow Measurements, CORE, Phys. Rev. Letters 98, 020501 (2007), pp. 1-10. [cited by applicant]
C. Chamberland, P. Iyer, and D. Poulin, “Fault-tolerant Quantum Computing int he Pauli or Clifford Frame with Slow Error Diagnostics,” Quantum 2, 43 (2018), pp. 1-11. [cited by applicant]
J. Kelly, R. Barends, A. G. Fowler, A. Megrant, E. Jeffrey, T. C. White, D. Sank, J. Y. Mutus, B. Campbell, Y. Chen, et al., “State Preservation by Repetitive Error Detection in a Superconducting Quantum Circuit,” Natur… [cited by applicant]
C. Horsman, A. G. Fowler, S. Devitt, and R. V. Meter, “Surface Code Quantum Computing by Lattice Surgery,” IOP Institute of Physics, New Journal of Physics 14, 123011 (2012), pp. 1-28. [cited by applicant]
A. J. Landahl and C. Ryan-Anderson, “Quantum Computing by Color-Code Lattice Surgery,” arXiv preprint arXiv:1407.5103 (2014), pp. 1-13. [cited by applicant]
D. Litinski and F. v. Oppen, “Lattice Surgery with a Twist: Simplifying Clifford Gates of Surface Codes,” Quantum 2, 62 (2018), arXiv Preprint arXiv:1709.02318v2, pp. 1-16. [cited by applicant]
D. Litinski, “A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery,” Quantum 3, 128 (2019), arXiv Preprint arXiv:1808.02892v3, pp. 1-37. [cited by applicant]
A. Kubica, B. Yoshida, and F. Pastawski, “Unfolding the Color Code,” IOP Institute of Physics, New Journal of Physics 17, 083026 (2015), pp. 1-27. [cited by applicant]
S. Bravyi, G. Smith, and J. A. Smolin, “Trading Classical and Quantum Computational Resources,” Physical Review X 6, 021043 (2016), arXiv Preprint arXiv:1506.01396v1, pp. 1-14. [cited by applicant]
A. Paler and A. G. Fowler, “OpenSurgery for Topical Assemblies,” arXiv preprint arXiv:1906.07994 (2019), pp. 1-4. [cited by applicant]
A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, “Surface Codes: Towrads Practical Large-Scale Quantum Computation,” Phys. Rev. A 86, 032324 (2012 American Physical Society), pp. 1-48. [cited by applicant]
A. G. Fowler, “Time-Optimal Quantum Computation,” arXiv preprint arXiv:1210.4626 (2012), pp. 1-5. [cited by applicant]
C. Chamberland and A. W. Cross, “Fault-Tolerant Magic State Preparation with Flag Qubits,” Quantum 3, 143 (2019), arXiv preprint arXiv:1811.00566v2, pp. 1-26. [cited by applicant]
C. Chamberland and K. Noh, “Very Low Overhead Fault-Tolerant Magic State Preparation Using Redundant Ancilla Encoding and Flag Quibits,” NPJ Quantum Information 6, 91 (2020), arXiv preprint arXiv:2003.03049v1, pp. 1-27. [cited by applicant]
J. Haah, M. B. Hastings, D. Poulin, and D. Wecker, Magic State Distillation with Low Space Overhead and Optimal Asymptotic Input Count, Quantum 1, 31 (2017), arXiv preprint arXiv:1703.07847v3), pp. 1-42. [cited by applicant]
A. Paetznick and B. W. Reichardt, “Universal Fault-Tolerant Quantum Computation with only Transversal Gates and Error Correction,” Physical Review Letters 111, 090505 (2013), arXiv preprint arXiv:1304.3709v2, pp. 1-5. [cited by applicant]
M. Vasmer and D. E. Browne, “Three-Dimensional Surface Codes: Transversal Gates and Fault-Tolerant Architectures,” Physical Review A 100, 012312 (2019 American Physical Society), arXiv preprint arXiv:1801.04255, 2018, p… [cited by applicant]
J. Haah and M. B. Hastings, “Codes and Protocols for Distilling T, Controlled-S, and Toffoli Gates,” Quantum 2, 71 (2018), arXiv preprint arXiv:1709.02832v3, pp. 1-29. [cited by applicant]
D. Litinski, “Magic State Distillation: Not as Costly as You Think,” Quantum 3, 205 (2019), arXiv preprint arXiv:1905.06903v3, pp. 1-22. [cited by applicant]
E. T. Campbell and M. Howard, “Unifying Gate-Synthesis and Magic State Distillation,” Physical review letters 118, 060501 (2017), arXiv preprint arXiv:1606.0190v2, pp. 1-5. [cited by applicant]
N. Wiebe and C. Granade, “Efficient Bayesian Phase Estimation,” Phys. Rev. Letters. 117, 010503 (2016), arXiv preprint arXiv:1508.00869v1, pp. 1-12. [cited by applicant]
C. Gidney, “Halving the Cost of Quantum Addition,” Quantum 2, 74 (2018), arXiv preprint arXiv:1709.06648v3, pp. 1-6. [cited by applicant]
C. Gidney and A. G. Fowler, “Efficient Magic State Factories with Catalyzed |CCZ>-2|T> Transformation,” Quantum 3, 135 (2019), arXiv preprint arXiv:1812.01238v3, pp. 1-24. [cited by applicant]
S. Bravyi, D. Browne, P. Calpin, E. Campbell, D. Gosset, and M. Howard, “Simulation of Quantum Circuits by Low- Rank Stabilizer Decompositions,” Quantum 3, 181 (2019), arXiv preprint arXiv:1808.00128v2, pp. 1-48. [cited by applicant]
B.-X. Zheng, C.-M. Chung, P. Corboz, G. Ehlers, M.-P. Qin, R. M. Noack, H. Shi, S. R. White, S. Zhang, and G. K.- L. Chan, “Strip Order in the Underdoped Region of the Two-Dimensional Hubbard Model,” Science 358, 1155 (… [cited by applicant]
M. Li, D. Miller, M. Newman, Y. Wu, and K. R. Brown, “2D Compass Codes,” Phys. Rev. X 9, 021041 (2019 American Physical Society), pp. 1-11. [cited by applicant]
C. Chamberland, G. Zhu, T. J. Yoder, J. B. Hertzberg, and A. W. Cross, “Topological and Subsystem Codes on Low-Degree Graphs with Flag Quibits,” Phys. Rev. X 10, 011022 (2020), arXiv preprint arXiv:1907.09528v2, pp. 1-2… [cited by applicant]
D. M. Debroy, M. Li, S. Huang, and K. R. Brown, “Logical Performance of 9 Quibit Compass COdes in Ion Traps with Crosstalk Errors,” Quantum Science and Technology 5, 034002 (2020), arXiv preprint arXiv:1910.08495v2, pp.… [cited by applicant]
S. Huang and K. R. Brown, “Fault-Tolerant Compass Codes,” Phys. Rev. A 101, 042312 (2020 American Physical Society), pp. 1-6. [cited by applicant]
P. Aliferis, D. Gottesman, and J. Preskill, “Quantum Accuracy Threshold for Concatenated Distance-3 Codes,” Quantum Info. Comput. 6, 97 (2006), arXiv preprint arXiv:quant-ph/0504218v2, pp. 1-58. [cited by applicant]
S. E. Nigg, H. Paik, B. Vlastakis, G. Kirchmair, S. Shankar, L. Frunzio, M. H. Devoret, R. J. Schoelkopf, and S. M. Girvin, “Black-Box Superconducting Circuit Quantization,” Phys. Rev. Letters 108, 240502 (2012 American… [cited by applicant]
M. Pechal and A. H. Safavi-Naeini, “Millimeter-wave Interconnects for Microwave-Frequency Quantum Machines,” Phys. Rev. A 96, 042305 (2017), arXiv preprint arXiv:1706.05368v1, pp. 1-14. [cited by applicant]
J. M. Kreikebaum, K. P. O'Brien, A. Morvan, and I. Siddiqi, “Improving Wafer-Scale Josephson Junction Resistance Variation in Superconducting Quantum Coherent Circuits,” Superconductor Science and Technology 33, 06LT02 … [cited by applicant]
V. S. Ferreira, J. Banker, A. Sipahigil, M. H. Matheny, A. J. Keller, E. Kim, M. Mirhosseini, and O. Painter, Collapse and Revival of an Artificial Atom Coupled to a Structured Photonic Reservoir (2020), arXiv:2001.0324… [cited by applicant]
R. Azouit, A. Sarlette, and P. Rouchon, Adiabatic elimination for open quantum systems with effective Lindblad master equations (2016), arXiv:1603.04630 [quant-ph], pp. 1-9. [cited by applicant]
R. Azouit, F. Chittaro, A. Sarlette, and P. Rouchon, “Towards Generic Adiabatic Elimination for Bipartite Open Quantum Systems,” Quantum Science Technology 2, 044011 (2017 IOP Publishing Ltd.), pp. 1-16. [cited by applicant]
E. A. Sete, J. M. Martinis, and A. N. Korotkov, “Quantum Theory of a Bandpass Purcell Filter for Qubit Readout,” Phys. Rev. A 92, 012325 (2015 American Physical Society), pp. 1-13. [cited by applicant]
D. F. James and J. Jerke, “Effective Hamiltonian Theory and Its Applications in Quantum Information,” Canadian Journal of Physics 85, 625 (2007), https://doi.org/10.1139/p07-060, pp. 1-5. [cited by applicant]
J. Heinsoo, C. K. Andersen, A. Remm, S. Krinner, T. Walter, Y. Salathe, S. Gasparinetti, J.-C. Besse, A. Potocnik, A. Wallra, and C. Eichler, “Rapid High-Fidelity Multiplexed Readout of Superconducting Qubits,” Phys. Re… [cited by applicant]
E. Jeffrey, D. Sank, J. Y. Mutus, T. C. White, J. Kelly, R. Barends, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, A. Megrant, P. J. J. O'Malley, C. Neill, P. Roushan, A. Vainsencher, J. Wenner, A. N. Cleland, and J. M. Ma… [cited by applicant]
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