Predicting Non-Markovian Superconducting-Qubit Dynamics from Tomographic Reconstruction

Zhang, Haimeng; Pokharel, Bibek; Levenson-Falk, E. M.; Lidar, Daniel

doi:10.1103/physrevapplied.17.054018

Predicting Non-Markovian Superconducting-Qubit Dynamics from Tomographic Reconstruction

Journal Article · 01 May 2022 · Physical Review Applied

DOI:https://doi.org/10.1103/physrevapplied.17.054018· OSTI ID:1979648

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OSTI

Not provided.

Research Organization:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0019219

OSTI ID:: 1979648

Journal Information:: Physical Review Applied, Journal Name: Physical Review Applied Journal Issue: 5 Vol. 17; ISSN 2331-7019; ISSN PRAHB2

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

References (48)

Error Mitigation for Short-Depth Quantum Circuits Temme, Kristan; Bravyi, Sergey; Gambetta, Jay M. Physical Review Letters, Vol. 119, Issue 18 https://doi.org/10.1103/PhysRevLett.119.180509	journal	November 2017
Completely positive dynamical semigroups of N-level systems Gorini, Vittorio Journal of Mathematical Physics, Vol. 17, Issue 5 https://doi.org/10.1063/1.522979	journal	January 1976
Non-Markovian dynamics of a superconducting qubit in an open multimode resonator Malekakhlagh, Moein; Petrescu, Alexandru; Türeci, Hakan E. Physical Review A, Vol. 94, Issue 6 https://doi.org/10.1103/PhysRevA.94.063848	journal	December 2016
Experimental quantum verification in the presence of temporally correlated noise Mavadia, S.; Edmunds, C. L.; Hempel, C. npj Quantum Information, Vol. 4, Issue 1 https://doi.org/10.1038/s41534-017-0052-0	journal	February 2018
Fault-Tolerant Quantum Computation with Long-Range Correlated Noise Aharonov, Dorit; Kitaev, Alexei; Preskill, John Physical Review Letters, Vol. 96, Issue 5 https://doi.org/10.1103/PhysRevLett.96.050504	journal	February 2006
Non-Markovian quantum processes: Complete framework and efficient characterization Pollock, Felix A.; Rodríguez-Rosario, César; Frauenheim, Thomas Physical Review A, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevA.97.012127	journal	January 2018
Quantum optical master equations: The use of damping bases Briegel, Hans-Jürgen; Englert, Berthold-Georg Physical Review A, Vol. 47, Issue 4 https://doi.org/10.1103/PhysRevA.47.3311	journal	April 1993
Using a Recurrent Neural Network to Reconstruct Quantum Dynamics of a Superconducting Qubit from Physical Observations Flurin, E.; Martin, L. S.; Hacohen-Gourgy, S. Physical Review X, Vol. 10, Issue 1 https://doi.org/10.1103/PhysRevX.10.011006	journal	January 2020
Inverse-system method for identification of damping-rate functions in non-Markovian quantum systems Xue, Shibei; Tan, Lingyu; Wu, Rebing Physical Review A, Vol. 102, Issue 4 https://doi.org/10.1103/PhysRevA.102.042227	journal	October 2020
Embedding non-Markovian quantum collisional models into bipartite Markovian dynamics Budini, Adrián A. Physical Review A, Vol. 88, Issue 3 https://doi.org/10.1103/PhysRevA.88.032115	journal	September 2013
Ensemble Method in the Theory of Irreversibility Zwanzig, Robert The Journal of Chemical Physics, Vol. 33, Issue 5 https://doi.org/10.1063/1.1731409	journal	November 1960
Colloquium : Non-Markovian dynamics in open quantum systems Breuer, Heinz-Peter; Laine, Elsi-Mari; Piilo, Jyrki Reviews of Modern Physics, Vol. 88, Issue 2 https://doi.org/10.1103/RevModPhys.88.021002	journal	April 2016
Surface codes: Towards practical large-scale quantum computation Fowler, Austin G.; Mariantoni, Matteo; Martinis, John M. Physical Review A, Vol. 86, Issue 3 https://doi.org/10.1103/PhysRevA.86.032324	journal	September 2012
Quantum Computation and Quantum Information Nielsen, Michael A.; Chuang, Isaac L. Cambridge University Press https://doi.org/10.1017/CBO9780511976667	book	January 2011
Quantum process tomography and Linblad estimation of a solid-state qubit Howard, M.; Twamley, J.; Wittmann, C. New Journal of Physics, Vol. 8, Issue 3 https://doi.org/10.1088/1367-2630/8/3/033	journal	March 2006
Experimental Characterization of Crosstalk Errors with Simultaneous Gate Set Tomography Rudinger, Kenneth; Hogle, Craig W.; Naik, Ravi K. PRX Quantum, Vol. 2, Issue 4 https://doi.org/10.1103/PRXQuantum.2.040338	journal	November 2021
Beyond complete positivity Dominy, Jason M.; Lidar, Daniel A. Quantum Information Processing, Vol. 15, Issue 4 https://doi.org/10.1007/s11128-015-1228-1	journal	January 2016
The Theory of Open Quantum Systems Breuer, Heinz-Peter; Petruccione, Francesco Oxford University Press https://doi.org/10.1093/acprof:oso/9780199213900.001.0001	book	January 2007
Detecting crosstalk errors in quantum information processors Sarovar, Mohan; Proctor, Timothy; Rudinger, Kenneth Quantum, Vol. 4 https://doi.org/10.22331/q-2020-09-11-321	journal	September 2020
Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit Alicki, Robert; Lidar, Daniel A.; Zanardi, Paolo Physical Review A, Vol. 73, Issue 5 https://doi.org/10.1103/PhysRevA.73.052311	journal	May 2006
Integrated Tool Set for Control, Calibration, and Characterization of Quantum Devices Applied to Superconducting Qubits Wittler, Nicolas; Roy, Federico; Pack, Kevin Physical Review Applied, Vol. 15, Issue 3 https://doi.org/10.1103/PhysRevApplied.15.034080	journal	March 2021
Quantum error correction for beginners Devitt, Simon J.; Munro, William J.; Nemoto, Kae Reports on Progress in Physics, Vol. 76, Issue 7 https://doi.org/10.1088/0034-4885/76/7/076001	journal	June 2013
Conditions for strictly purity-decreasing quantum Markovian dynamics Lidar, D. A.; Shabani, A.; Alicki, R. Chemical Physics, Vol. 322, Issue 1-2 https://doi.org/10.1016/j.chemphys.2005.06.038	journal	March 2006
Exact Closed Master Equation for Gaussian Non-Markovian Dynamics Ferialdi, L. Physical Review Letters, Vol. 116, Issue 12 https://doi.org/10.1103/PhysRevLett.116.120402	journal	March 2016
Quantum-process tomography: Resource analysis of different strategies Mohseni, M.; Rezakhani, A. T.; Lidar, D. A. Physical Review A, Vol. 77, Issue 3 https://doi.org/10.1103/PhysRevA.77.032322	journal	March 2008
Modelling non-markovian quantum processes with recurrent neural networks Banchi, Leonardo; Grant, Edward; Rocchetto, Andrea New Journal of Physics, Vol. 20, Issue 12 https://doi.org/10.1088/1367-2630/aaf749	journal	December 2018
Decoherence, einselection, and the quantum origins of the classical Zurek, Wojciech Hubert Reviews of Modern Physics, Vol. 75, Issue 3 https://doi.org/10.1103/RevModPhys.75.715	journal	May 2003
A new look at the statistical model identification Akaike, H. IEEE Transactions on Automatic Control, Vol. 19, Issue 6 https://doi.org/10.1109/TAC.1974.1100705	journal	December 1974
Machine Learning Non-Markovian Quantum Dynamics Luchnikov, I. A.; Vintskevich, S. V.; Grigoriev, D. A. Physical Review Letters, Vol. 124, Issue 14 https://doi.org/10.1103/PhysRevLett.124.140502	journal	April 2020
Combining dynamical decoupling with fault-tolerant quantum computation Ng, Hui Khoon; Lidar, Daniel A.; Preskill, John Physical Review A, Vol. 84, Issue 1 https://doi.org/10.1103/PhysRevA.84.012305	journal	July 2011
Completely positive linear maps on complex matrices Choi, Man-Duen Linear Algebra and its Applications, Vol. 10, Issue 3 https://doi.org/10.1016/0024-3795(75)90075-0	journal	June 1975
On the generators of quantum dynamical semigroups Lindblad, G. Communications in Mathematical Physics, Vol. 48, Issue 2 https://doi.org/10.1007/BF01608499	journal	June 1976
Demonstration of non-Markovian process characterisation and control on a quantum processor White, G. A. L.; Hill, C. D.; Pollock, F. A. Nature Communications, Vol. 11, Issue 1 https://doi.org/10.1038/s41467-020-20113-3	journal	December 2020
Demonstration of Fidelity Improvement Using Dynamical Decoupling with Superconducting Qubits Pokharel, Bibek; Anand, Namit; Fortman, Benjamin Physical Review Letters, Vol. 121, Issue 22 https://doi.org/10.1103/PhysRevLett.121.220502	journal	November 2018
Robust method for estimating the Lindblad operators of a dissipative quantum process from measurements of the density operator at multiple time points Boulant, N.; Havel, T. F.; Pravia, M. A. Physical Review A, Vol. 67, Issue 4 https://doi.org/10.1103/PhysRevA.67.042322	journal	April 2003
Optimal state pairs for non-Markovian quantum dynamics Wißmann, Steffen; Karlsson, Antti; Laine, Elsi-Mari Physical Review A, Vol. 86, Issue 6 https://doi.org/10.1103/PhysRevA.86.062108	journal	December 2012
Non-Markovian qubit dynamics in the presence of1/fnoise Burkard, Guido Physical Review B, Vol. 79, Issue 12 https://doi.org/10.1103/PhysRevB.79.125317	journal	March 2009
Unfolding quantum computer readout noise Nachman, Benjamin; Urbanek, Miroslav; de Jong, Wibe A. npj Quantum Information, Vol. 6, Issue 1 https://doi.org/10.1038/s41534-020-00309-7	journal	September 2020
1 / f noise: Implications for solid-state quantum information Paladino, E.; Galperin, Y. M.; Falci, G. Reviews of Modern Physics, Vol. 86, Issue 2 https://doi.org/10.1103/RevModPhys.86.361	journal	April 2014
Fault-tolerant quantum computation versus Gaussian noise Ng, Hui Khoon; Preskill, John Physical Review A, Vol. 79, Issue 3 https://doi.org/10.1103/PhysRevA.79.032318	journal	March 2009
Prescription for experimental determination of the dynamics of a quantum black box Chuang, Isaac L.; Nielsen, M. A. Journal of Modern Optics, Vol. 44, Issue 11-12 https://doi.org/10.1080/09500349708231894	journal	November 1997
Predicting many properties of a quantum system from very few measurements Huang, Hsin-Yuan; Kueng, Richard; Preskill, John Nature Physics, Vol. 16, Issue 10 https://doi.org/10.1038/s41567-020-0932-7	journal	June 2020
Direct Characterization of Quantum Dynamics Mohseni, M.; Lidar, D. A. Physical Review Letters, Vol. 97, Issue 17 https://doi.org/10.1103/PhysRevLett.97.170501	journal	October 2006
Benchmarking the noise sensitivity of different parametric two-qubit gates in a single superconducting quantum computing platform Ganzhorn, M.; Salis, G.; Egger, D. J. Physical Review Research, Vol. 2, Issue 3 https://doi.org/10.1103/PhysRevResearch.2.033447	journal	September 2020
Completely positive post-Markovian master equation via a measurement approach Shabani, A.; Lidar, D. A. Physical Review A, Vol. 71, Issue 2 https://doi.org/10.1103/PhysRevA.71.020101	journal	February 2005
Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems Breuer, Heinz-Peter; Laine, Elsi-Mari; Piilo, Jyrki Physical Review Letters, Vol. 103, Issue 21 https://doi.org/10.1103/PhysRevLett.103.210401	journal	November 2009
Non-Markovianity of the post-Markovian master equation Sutherland, Chris; Brun, Todd A.; Lidar, Daniel A. Physical Review A, Vol. 98, Issue 4 https://doi.org/10.1103/PhysRevA.98.042119	journal	October 2018
General state changes in quantum theory Kraus, K. Annals of Physics, Vol. 64, Issue 2 https://doi.org/10.1016/0003-4916(71)90108-4	journal	June 1971

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