IP Library Granted Patent US 12,475,394
Granted Patent B2
US 12,475,394 · App. 17/742,587 · Granted Nov 18, 2025

Systems and methods for improving efficiency of calibration of quantum devices

Inventors: Andrew J. Berkley (Vancouver, CA); Ilya V. Perminov (Vancouver, CA)
Assignee: D-WAVE SYSTEMS INC.
G06N10/20G06N10/40
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Quick Facts
Patent No.
US 12,475,394
App. No.
17/742,587
Granted
Nov 18, 2025
Kind
B2
Abstract

Methods and systems for calibrating quantum processors are discussed. A model of a portion of the processor to be calibrated has one or more determinable parameters and an uncertainty for the determinable parameter(s). A measurement procedure is iteratively performed by selecting a subset of possible measurements and generating predicted measurement outcomes and predicted uncertainties for the determinable parameter for each measurement in the subset of possible measurements. Based on the predicted reduction in uncertainty for the determinable parameter, one or more measurements is selected. Instructions are transmitted to the quantum processor to perform the selected measurements, and the results are returned to update the model of the portion of the processor to be calibrated. Once a termination criteria is met, a calibrated value is generated for the determinable parameter. Compensating signals can be applied to devices of the quantum processor to calibrate the devices.

Claims (48)

1 . A method of calibrating a quantum processor by a digital processor with improved efficiency, the quantum processor comprising one or more quantum devices, the method being performed by the digital processor in communication with the quantum processor, the method comprising:

receiving a model of a portion of the quantum processor to be calibrated, the portion of the quantum processor to be calibrated including the one or more quantum devices, the portion of the quantum processor to be calibrated having one or more determinable parameters, the model of a portion of the quantum processor to be calibrated having as model parameters the one or more determinable parameters and a current uncertainty for each of the one or more determinable parameters;

receiving one or more initial values for the model parameters of the model of a portion of the quantum processor to be calibrated;

initializing the model of the portion of the quantum processor to be calibrated based on the one or more initial values;

iterating a measurement procedure until a termination criteria is reached, the measurement procedure comprising:

choosing a subset of possible measurements from a set of possible measurements for the quantum processor;

generating a predicted measurement outcome and a predicted uncertainty for the one or more determinable parameters for each measurement in the subset of possible measurements;

selecting one or more measurements from the subset of possible measurements based on a predicted reduction in uncertainty for the one or more determinable parameters;

transmitting instructions to the quantum processor to perform the one or more measurements;

receiving a result of the one or more measurements from the quantum processor; and

updating the model of the portion of the quantum processor to be calibrated based on the result of the one or more measurements; and

generating one or more calibrated values for the one or more determinable parameters based on the updated model of the portion of the quantum processor to be calibrated.

2 . The method of claim 1 , wherein receiving a model of a portion of the quantum processor to be calibrated comprises receiving a model comprising one or more physical parameters of the one or more quantum devices and one or more measurement parameters of the one or more quantum devices, and the model predicts an outcome of a measurement on the quantum processor.

3 . The method of claim 1 , wherein receiving one or more initial values for the model parameters of the model of a portion of the quantum processor to be calibrated comprises receiving preliminary data for the portion of the quantum processor to be calibrated, and wherein initializing the model of the portion of the quantum processor to be calibrated based on the one or more initial values comprises initializing the model of the portion of the quantum processor to be calibrated based on the preliminary data.

4 . The method of claim 3 , wherein receiving preliminary data for the portion of the quantum processor to be calibrated comprises receiving noisy measurement results.

5 . The method of claim 1 , wherein receiving a model of a portion of the quantum processor to be calibrated comprises receiving a quantum-mechanical model of the one or more quantum devices.

6 . The method of claim 1 , wherein choosing a subset of possible measurements comprises one of: selecting a complete set of possible measurements, discretizing the set of possible measurements and selecting a discrete subset, selecting a random subset of the set of possible measurements, and selecting a subset based on known properties of the one or more quantum devices.

7 . The method of claim 1 , wherein receiving a model of a portion of the quantum processor to be calibrated, the portion of the quantum processor to be calibrated including the one or more quantum devices comprises receiving a model of a portion of the quantum processor to be calibrated, the portion of the quantum processor to be calibrated including one or more of a qubit, a coupler, a digital to analog converter (DAC), a control structure, and a readout device.

8 . The method of claim 1 , wherein selecting one or more measurements from the subset of possible measurements based on a predicted reduction in uncertainty for the one or more determinable parameters comprises generating a measurement schedule based on a plurality of trained parameters of a machine learning model.

9 . The method of claim 1 , further comprising applying a signal to a control device in communication with the one or more quantum devices to adjust operation of the one or more quantum devices in response to generating the calibrated value for the one or more determinable parameters.

10 . The method of claim 1 , wherein receiving a model of a portion of the quantum processor to be calibrated comprises receiving a model of a portion of the quantum processor to be calibrated that predicts an outcome of a measurement on the quantum processor.

11 . The method of claim 10 , wherein selecting one or more measurements from the subset of possible measurements based on a predicted reduction in uncertainty for the one or more determinable parameters comprises selecting one or more measurements from the subset of possible measurements based on a projected reduction in a distance between a prediction of the model of an outcome of a measurement on the quantum processor and an actual outcome of the measurements.

12 . The method of claim 1 , wherein iterating a measurement procedure until a termination criteria is reached comprises iterating a measurement procedure for one of: a number of iterations, a processing time, a number of measurements, a threshold accuracy for the one or more determinable parameters, a number of digital processor cycles, and a number of quantum processor cycles.

13 . The method of claim 1 , further comprising comparing the current uncertainty for the one or more determinable parameters to a threshold accuracy for the one or more determinable parameters, and wherein iterating a measurement procedure until a termination criteria is reached comprises iterating a measurement procedure until the current uncertainty for the one or more determinable parameters is less than or equal to the termination criteria.

14 . The method of claim 1 , wherein selecting one or more measurements from the subset of possible measurements comprises selecting a set of multiple measurements from the subset of possible measurements, the set of multiple measurements comprising measurements that are measurable in parallel, and wherein transmitting instructions to the quantum processor to perform the one or more measurements comprises transmitting instructions to the quantum processor to perform the set of multiple measurements in parallel.

15 . The method of claim 1 , further comprising generating the initial values by instructing the quantum processor to perform one or more initial measurements, and wherein receiving one or more initial values comprises receiving the one or more initial values from the quantum processor.

16 . A hybrid computing system, the hybrid computing system comprising:

a quantum processor comprising one or more quantum devices;

a digital processor communicatively coupled with the quantum processor;

at least one non-transitory processor-readable medium that stores at least one of processor-executable instructions and data; and

the digital processor communicatively coupled to the least one non-transitory processor-readable medium, which, in response to execution of the at least one of processor-executable instructions and data:

receives a model of a portion of the quantum processor to be calibrated, the portion of the quantum processor to be calibrated including the one or more quantum devices, the portion of the quantum processor to be calibrated having one or more determinable parameters, the model of a portion of the quantum processor to be calibrated having as model parameters the one or more determinable parameters and a current uncertainty for each of the one or more determinable parameters;

receives one or more initial values for the model parameters of the model of a portion of the quantum processor to be calibrated;

initializes the model of the portion of the quantum processor to be calibrated based on the one or more initial values;

iterates a measurement procedure until a termination criteria is reached, in each iteration of the measurement procedure the digital processor:

chooses a subset of possible measurements from a set of possible measurements for the quantum processor;

generates a predicted measurement outcome and a predicted uncertainty for the one or more determinable parameters for each measurement in the subset of possible measurements;

selects one or more measurements from the subset of possible measurements based on a predicted reduction in uncertainty for the one or more determinable parameters;

transmits instructions to the quantum processor to perform the one or more measurements;

receives a result of the one or more measurements from the quantum processor; and

updates the model of the portion of the quantum processor to be calibrated; and

generates one or more calibrated values for the one or more determinable parameters, following the iterations of the measurement procedure.

17 . The hybrid computing system of claim 16 , wherein the digital processor receives a model comprising one or more physical parameters of the one or more quantum devices and one or more measurement parameters of the one or more quantum devices, and the model predicts an outcome of a measurement on the quantum processor.

18 . The hybrid computing system of claim 16 , wherein the portion of the quantum processor to be calibrated includes one or more of a qubit, a coupler, a digital to analog converter (DAC), a control structure, and a readout device.

19 . The hybrid computing system of claim 16 , wherein in response to execution of the at least one of processor executable instructions and data the digital processor further applies a signal to a control device in communication with the one or more quantum devices to adjust operation of the one or more quantum devices in response to generating a calibrated value for the one or more determinable parameters.

20 . The hybrid computing system of claim 16 , wherein the model of a portion of the quantum processor to be calibrated predicts an outcome of a measurement on the quantum processor.

21 . The hybrid computing system of claim 20 , wherein to select one or more measurements from the subset of possible measurements based on a predicted reduction in uncertainty for the one or more determinable parameters the digital processor selects one or more measurements from the subset of possible measurements based on a projected reduction in a distance between a prediction of the model of an outcome of a measurement on the quantum processor and an actual outcome of the measurements.

22 . The hybrid computing system of claim 16 , wherein the termination criteria comprises one of a number of iterations, a processing time, a number of measurements, a threshold accuracy for the one or more determinable parameters, a number of digital processor cycles, and a number of quantum processor cycles.

Assignments (3)
ASSIGNMENT OF ASSIGNOR'S INTEREST Recorded Oct 24, 2025
From: BERKLEY, ANDREW J.; PERMINOV, ILYA V.
To: D-WAVE SYSTEMS INC.
Reel/Frame 072673/0703 →
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 →
INTELLECTUAL PROPERTY SECURITY AGREEMENT (PROJECT INTELLECTUAL PROPERTY) Recorded Jul 7, 2023
From: D-WAVE SYSTEMS INC
To: PSPIB UNITAS INVESTMENTS II INC., AS COLLATERAL AGENT
Reel/Frame 064235/0051 →
Continuity (2)
Provisional Application 63210176 · Jun 14, 2021
Related Publication 20240028938A1 · Jan 25, 2024
References Cited (159)
US 6373294B1 · Bentley · 2002 [cited by applicant]
US 6911664B2 · Il et al. · 2005 [cited by applicant]
US 7135701B2 · Amin et al. · 2006 [cited by applicant]
US 7230266B2 · Hilton et al. · 2007 [cited by applicant]
US 7307275B2 · Lidar et al. · 2007 [cited by applicant]
US 7418283B2 · Amin · 2008 [cited by applicant]
US 7533068B2 · Maassen et al. · 2009 [cited by applicant]
US 7619437B2 · Thom et al. · 2009 [cited by applicant]
US 7639035B2 · Berkley · 2009 [cited by applicant]
US 7843209B2 · Berkley · 2010 [cited by applicant]
US 7876248B2 · Berkley et al. · 2011 [cited by applicant]
US 7898282B2 · Harris et al. · 2011 [cited by applicant]
US 7921072B2 · Bohannon et al. · 2011 [cited by applicant]
US 7932907B2 · Nachmanson et al. · 2011 [cited by applicant]
US 7984012B2 · Coury et al. · 2011 [cited by applicant]
US 8008942B2 · Van et al. · 2011 [cited by applicant]
US 8018244B2 · Berkley · 2011 [cited by applicant]
US 8035540B2 · Berkley et al. · 2011 [cited by applicant]
US 8098179B2 · Bunyk et al. · 2012 [cited by applicant]
US 8169231B2 · Berkley · 2012 [cited by applicant]
US 8174305B2 · Harris · 2012 [cited by applicant]
US 8175995B2 · Amin · 2012 [cited by applicant]
US 8190548B2 · Choi · 2012 [cited by applicant]
US 8195596B2 · Rose et al. · 2012 [cited by applicant]
US 8283943B2 · Van Den Brink et al. · 2012 [cited by applicant]
US 8421053B2 · Bunyk et al. · 2013 [cited by applicant]
US 8429108B2 · Eusterbrock · 2013 [cited by applicant]
US 8560282B2 · Love et al. · 2013 [cited by applicant]
US 8854074B2 · Berkley · 2014 [cited by applicant]
US 8874477B2 · Hoffberg · 2014 [cited by applicant]
US 8972237B2 · Wecker · 2015 [cited by applicant]
US 9189217B2 · Von Platen et al. · 2015 [cited by applicant]
US 9588940B2 · Hamze et al. · 2017 [cited by applicant]
US 9710758B2 · Bunyk et al. · 2017 [cited by applicant]
US 10031887B2 · Raymond · 2018 [cited by applicant]
US 10650050B2 · He et al. · 2020 [cited by applicant]
US 10872021B1 · Tezak et al. · 2020 [cited by applicant]
US 11062227B2 · Amin et al. · 2021 [cited by applicant]
US 11087616B2 · Rom et al. · 2021 [cited by applicant]
US 11422958B2 · Boothby et al. · 2022 [cited by applicant]
US 11875222B1 · Reagor · 2024 [cited by applicant]
US 20020180006A1 · Franz et al. · 2002 [cited by applicant]
US 20020188578A1 · Amin et al. · 2002 [cited by applicant]
US 20030102470A1 · Il et al. · 2003 [cited by applicant]
US 20030169041A1 · Coury et al. · 2003 [cited by applicant]
US 20050008050A1 · Fischer et al. · 2005 [cited by applicant]
US 20070180586A1 · Amin · 2007 [cited by applicant]
US 20070239366A1 · Hilton et al. · 2007 [cited by applicant]
US 20080052055A1 · Rose et al. · 2008 [cited by applicant]
US 20090078931A1 · Berkley · 2009 [cited by applicant]
US 20090192041A1 · Johansson et al. · 2009 [cited by applicant]
US 20090259905A1 · Silva · 2009 [cited by examiner]
US 20090261319A1 · Maekawa et al. · 2009 [cited by applicant]
US 20090289638A1 · Farinelli et al. · 2009 [cited by applicant]
US 20100150222A1 · Meyers et al. · 2010 [cited by applicant]
US 20110054876A1 · Biamonte et al. · 2011 [cited by applicant]
US 20110057169A1 · Harris et al. · 2011 [cited by applicant]
US 20110060780A1 · Berkley et al. · 2011 [cited by applicant]
US 20110065586A1 · Maibaum et al. · 2011 [cited by applicant]
US 20110138344A1 · Ahn · 2011 [cited by applicant]
US 20120023053A1 · Harris et al. · 2012 [cited by applicant]
US 20120087867A1 · Mccamey et al. · 2012 [cited by applicant]
US 20120144159A1 · Pesetski et al. · 2012 [cited by applicant]
US 20120265718A1 · Amin et al. · 2012 [cited by applicant]
US 20130106476A1 · Joubert et al. · 2013 [cited by applicant]
US 20130117200A1 · Thom · 2013 [cited by applicant]
US 20130267032A1 · Tsai et al. · 2013 [cited by applicant]
US 20140229722A1 · Harris · 2014 [cited by applicant]
US 20150262073A1 · Lanting · 2015 [cited by applicant]
US 20150286748A1 · Lilley · 2015 [cited by applicant]
US 20150363708A1 · Amin et al. · 2015 [cited by applicant]
US 20160079968A1 · Strand et al. · 2016 [cited by applicant]
US 20160233860A1 · Naaman · 2016 [cited by applicant]
US 20160238360A1 · Naud et al. · 2016 [cited by applicant]
US 20160267032A1 · Rigetti et al. · 2016 [cited by applicant]
US 20160364653A1 · Chow et al. · 2016 [cited by applicant]
US 20170017894A1 · Lanting · 2017 [cited by examiner]
US 20170104695A1 · Naaman · 2017 [cited by applicant]
US 20170300454A1 · Maassen Van Den Brink et al. · 2017 [cited by applicant]
US 20170351967A1 · Babbush et al. · 2017 [cited by applicant]
US 20170364362A1 · Lidar et al. · 2017 [cited by applicant]
US 20180101786A1 · Boothby · 2018 [cited by applicant]
US 20180123544A1 · Abdo · 2018 [cited by applicant]
US 20190019098A1 · Przybysz · 2019 [cited by applicant]
US 20190042677A1 · Matsuura · 2019 [cited by examiner]
US 20190042967A1 · Yoscovits et al. · 2019 [cited by applicant]
US 20190043919A1 · George et al. · 2019 [cited by applicant]
US 20190266508A1 · Bunyk et al. · 2019 [cited by applicant]
US 20190378874A1 · Rosenblatt et al. · 2019 [cited by applicant]
US 20190391093A1 · Achlioptas et al. · 2019 [cited by applicant]
US 20190392352A1 · Lampert et al. · 2019 [cited by applicant]
US 20200005155A1 · Datta et al. · 2020 [cited by applicant]
US 20200183768A1 · Berkley et al. · 2020 [cited by applicant]
US 20200334563A1 · Gambetta et al. · 2020 [cited by applicant]
US 20200342345A1 · Farhi et al. · 2020 [cited by applicant]
US 20200342347A1 · Gambetta · 2020 [cited by examiner]
US 20200349326A1 · King · 2020 [cited by applicant]
US 20200379768A1 · Berkley et al. · 2020 [cited by applicant]
US 20200380396A1 · Raymond · 2020 [cited by applicant]
US 20220207404A1 · Boothby · 2022 [cited by applicant]
US 20240028938A1 · Berkley et al. · 2024 [cited by applicant]
CN 107580752A · 2018 [cited by applicant]
KR 101446943B1 · 2014 [cited by applicant]
WO 2005093649A1 · 2005 [cited by applicant]
WO 2007085074A1 · 2007 [cited by applicant]
WO 2012064974A2 · 2012 [cited by applicant]
WO 2014123980A1 · 2014 [cited by applicant]
WO 2016182608A2 · 2016 [cited by applicant]
WO 2016183213A1 · 2016 [cited by applicant]
WO 2017214331A1 · 2017 [cited by applicant]
WO 2018064535A1 · 2018 [cited by applicant]
WO 2018111242A1 · 2018 [cited by applicant]
WO 2019005206A1 · 2019 [cited by applicant]
WO 2019070935A2 · 2019 [cited by applicant]
WO 2019168721A1 · 2019 [cited by applicant]
WO 2020112185A2 · 2020 [cited by applicant]
WO WO2020108957A1 · 2020 [cited by examiner]
WO 2021011412A1 · 2021 [cited by applicant]
Notice of Allowance for U.S. Appl. No. 17/272.052, mailed Aug. 3, 2023, 10 pages. [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]
Whiticar, et al., Probing flux and charge noise with macroscopic resonant tunneling, arXiv:2210.01714v1 [quant-ph] Oct. 4, 2022. 11 pages. [cited by applicant]
Amin, M., “Searching for Quantum Speedup in Quasistatic Quantum Annealers,” arXiv:1503.04216v2 [quant-ph] Nov. 19, 2015, 5 pages. [cited by applicant]
Amin et al., “First Order Quantum Phase Transition in Adiabatic Quantum Computation”, arXiv:0904.1387v3, Dec. 15, 2009, 5 pages. [cited by applicant]
Amin et al., Macroscopic Resonant Tunneling in the Presence of Low Frequency Noise, arXiv:0712.0845 [cond-mat.mes-hall], May 13, 2008, pp. 1-4. [cited by applicant]
Amin, “Effect of Local Minima on Adiabatic Quantum Optimization,” Physical Review Letters 100(130503), 2008, 4 pages. [cited by applicant]
Aspuru-Guzik. “Simulated Quantum Computation of Molecular Energies”, Science, Sep. 9, 2005. [cited by applicant]
Berkley, A.J. et al., “Tunneling Spectroscopy Using a Probe Qubit,” arXiv:1210.6310v2 [cond-mat.supr-con], Jan. 3, 2013, 5 pages. [cited by applicant]
Bunyk et al., “Architectural Considerations in the Design of a Superconducting Quantum Annealing Processor,” IEEE Trans. Appl. Supercond., 24, arXiv:1401.5504v1 [quant-ph] Jan. 21, 2014, 9 pages. [cited by applicant]
Byrd. “A Limited-Memory Algorithm for Bound-Contrained Optimization”. SIAM Journal on Scientific Computing, Jun. 17, 2005. [cited by applicant]
Dhande et al. “End-User Calibration for Quantum Annealing”. Engineering Project Report—UBC, Jan. 6, 2019. [cited by applicant]
D-Wave, “Technical Description of the D-Wave Quantum Processing Unit”, D-Wave User Manual 09-1109A-M, Sep. 24, 2018, 56 pages. [cited by applicant]
Gao, Jiansong, “The Physics of Superconducting Microwave Resonators,” Thesis, In Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy, California Institute of Technology Pasadena, Califomia, Ma… [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]
International Search Report for PCT/US2019/047747, mailed Jun. 26, 2020, 4 pages. [cited by applicant]
King et al., “Observation of topological phenomena in a programmable lattice of 1,800 qubits”, arXiv:1803.02047 [quant-ph], Mar. 6, 2018, 17 pages. [cited by applicant]
Lanting et al., “Geometrical dependence of the low-frequency noise in superconducting flux qubits”, Physical Review B, 79, 060509, Jun. 5, 2009, 4 pages. [cited by applicant]
Lanting et al., “Probing High Frequency Noise with Macroscopic Resonant Tunneling”, arXiv:1103.1931v1 [cond-mat.supr-con], Mar. 20, 2011, 5 pages. [cited by applicant]
Lanting, T., “Observation of Co-tunneling in Pairs of Coupled Flux Qubits”, arXiv:1006.0028v1 [cond-mat.supr-con], May 31, 2010, 4 pages. [cited by applicant]
Manucharyan et al., “Fluxonium: single Cooper pair circuit free of charge offsets”, arXiv:0906.0831v2, [cond-mat.mes-hall] Oct. 20, 2009, 13 pages. [cited by applicant]
Nielsen. “The Fermionic canonical commutation relations and the Jordan-Wigner transform”, School of Physical Sciences, Jul. 29, 2005. [cited by applicant]
Petersan et al., “Measurement of resonant frequency and quality factor of microwave resonators: Comparison of methods,” Journal of Applied Physics, vol. 84, No. 6, Sep. 15, 1998, 11 pages. [cited by applicant]
Sete et al., “A Functional Architecture for Scalable Quantum Computing”, 2016 IEEE International Conference on Rebooting Computing (ICRC), Oct. 17, 2016, 5 pages. [cited by applicant]
Swenson et al., “Operation of a titanium nitride superconducting microresonator detector in the nonlinear regime,” arXiv:1305.4281v1 [cond-mat.supr-con], May 18, 2013, 11 pages. [cited by applicant]
Tolpygo et al., “Advanced Fabrication Process for Superconducting Very Large Scale Integrated Circuits”, https://arxiv.org/abs/1509.05081, accessed Sep. 16, 2015. [cited by applicant]
Van Harlingen et al., “Decoherence in Josephson-junction qubits due to critical current fluctuations”, arXiv:cond-mat/0404307v1 [cond-mat.supr-con], Apr. 13, 2004, 24 pages. [cited by applicant]
Whittaker, J.D. et al., “A Frequency and Sensitivity Tunable Microresonator Array for High-Speed Quantum Processor Readout,” arXiv:1509.05811v2 [quant-ph], Apr. 22, 2016, 8 pages. [cited by applicant]
Written Opinion for PCT/US2019/047747, mailed Jun. 26, 2020, 4 pages. [cited by applicant]
Yohannes et al, “Planarized, Extensible, Multiplayer, Fabrication Process for Superconducting Electronics”, IEEE Transactions on Applied Superconductivity, vol. 25, No. 3, Jun. 2015. [cited by applicant]
Boothby, K., “Input/Output Systems and Methods for Superconducting Devices,” U.S. Appl. No. 62/860,098, filed Jun. 11, 2019, 31 pages. [cited by applicant]
Boothby, K., et al., “Systems and Methods for Efficient Input and Output to Quantum Processors,” U.S. Appl. No. 62/851,377, filed May 22, 2019, 40 pages. [cited by applicant]
Chen, Y. et al., “Multiplexed Dispersive Readout of Superconducting Phase Qubits,” Applied Physics Letters 101 (182601), 2012, 4 pages. [cited by applicant]
Heinsoo, J. et al., “Rapid high-fidelity multiplexed readout of superconducting qubits,” arXiv:1801.07904v1 [quant-ph], Jan. 24, 2018, 13 pages. [cited by applicant]
International Search Report & Written Opinion for PCT/US2020/041703 mailed Oct. 27, 2020, 9 pages. [cited by applicant]
International Search Report for PCT/US2020/037222, mailed Sep. 17, 2020, 3 pages. [cited by applicant]
Michotte, S., “Qubit Dispersive Readout Scheme with a Microstrip Squid Amplifier,” arXiv:0812.0220v1 [cond-mat.supr-con], Dec. 1, 2008, 4 pages. [cited by applicant]
Vollmer, R., “Fast and scalable readout for fault-tolerant quantum computing with superconducting Qubits,” Master's Thesis, QuTech, Department of Quantum Nanoscience, Delft University of Technology, Jul. 10, 2018, 80 pa… [cited by applicant]
Written Opinion for PCT/US2020/037222, malled Sep. 17, 2020, 5 pages. [cited by applicant]
Extended EP Search Report mailed Jun. 26, 2023, EP App No. 20841331.0-11203—14 pages. [cited by applicant]
King, Kibble-Zurek-like Scaling in the Fast Anneal Regime, 2021. [cited by applicant]