Improving qubit readout with hidden Markov models

Martinez, Luis A.; Rosen, Yaniv J.; DuBois, Jonathan L.

doi:10.1103/physreva.102.062426

Improving qubit readout with hidden Markov models

Journal Article · Wed Dec 23 23:00:00 EST 2020 · Physical Review A

DOI:https://doi.org/10.1103/physreva.102.062426· OSTI ID:1763940

^[1]; ^[1]; ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

We demonstrate the application of pattern recognition algorithms via hidden Markov models (HMM) for qubit readout. This scheme provides a state-path trajectory approach capable of detecting qubit-state transitions and makes for a robust classification scheme with higher starting-state assignment fidelity than when compared to a multivariate Gaussian or a support vector machine scheme. Therefore, the method also eliminates the qubit-dependent readout time optimization requirement in current schemes. Using a HMM state discriminator we estimate fidelities reaching the ideal limit. Unsupervised learning gives access to transition matrix, priors, and IQ distributions, providing a toolbox for studying qubit-state dynamics during strong projective readout.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1763940

Report Number(s):: LLNL-JRNL--810931; 1017453

Journal Information:: Physical Review A, Journal Name: Physical Review A Journal Issue: 6 Vol. 102; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (29)

Dispersive regime of circuit QED: photon-dependent qubit dephasing and relaxation rates Boissonneault, Maxime; Gambetta, J. M.; Blais, Alexandre arXiv https://doi.org/10.48550/arxiv.0810.1336	text	January 2008
Support-vector networks Cortes, Corinna; Vapnik, Vladimir Machine Learning, Vol. 20, Issue 3 https://doi.org/10.1007/BF00994018	journal	September 1995
Realization of three-qubit quantum error correction with superconducting circuits Reed, M. D.; DiCarlo, L.; Nigg, S. E. Nature, Vol. 482, Issue 7385 https://doi.org/10.1038/nature10786	journal	February 2012
Demonstration of a quantum error detection code using a square lattice of four superconducting qubits Córcoles, A. D.; Magesan, Easwar; Srinivasan, Srikanth J. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms7979	journal	April 2015
Digital quantum simulation of fermionic models with a superconducting circuit Barends, R.; Lamata, L.; Kelly, J. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms8654	journal	July 2015
Quantum supremacy using a programmable superconducting processor Arute, Frank; Arya, Kunal; Babbush, Ryan Nature, Vol. 574, Issue 7779 https://doi.org/10.1038/s41586-019-1666-5	journal	October 2019
Machine learning assisted readout of trapped-ion qubits Seif, Alireza; Landsman, Kevin A.; Linke, Norbert M. Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 51, Issue 17 https://doi.org/10.1088/1361-6455/aad62b	journal	August 2018
Quantum information processing with superconducting circuits: a review Wendin, G. Reports on Progress in Physics, Vol. 80, Issue 10 https://doi.org/10.1088/1361-6633/aa7e1a	journal	September 2017
Rigorous measurement error correction Geller, Michael R. Quantum Science and Technology, Vol. 5, Issue 3 https://doi.org/10.1088/2058-9565/ab9591	journal	June 2020
Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation Blais, Alexandre; Huang, Ren-Shou; Wallraff, Andreas Physical Review A, Vol. 69, Issue 6 https://doi.org/10.1103/PhysRevA.69.062320	journal	June 2004
Protocols for optimal readout of qubits using a continuous quantum nondemolition measurement Gambetta, Jay; Braff, W. A.; Wallraff, A. Physical Review A, Vol. 76, Issue 1 https://doi.org/10.1103/PhysRevA.76.012325	journal	July 2007
Dispersive regime of circuit QED: Photon-dependent qubit dephasing and relaxation rates Boissonneault, Maxime; Gambetta, J. M.; Blais, Alexandre Physical Review A, Vol. 79, Issue 1 https://doi.org/10.1103/PhysRevA.79.013819	journal	January 2009
Robust readout of bosonic qubits in the dispersive coupling regime Hann, Connor T.; Elder, Salvatore S.; Wang, Christopher S. Physical Review A, Vol. 98, Issue 2 https://doi.org/10.1103/PhysRevA.98.022305	journal	August 2018
Restless Tuneup of High-Fidelity Qubit Gates Rol, M. A.; Bultink, C. C.; O’Brien, T. E. Physical Review Applied, Vol. 7, Issue 4 https://doi.org/10.1103/PhysRevApplied.7.041001	journal	April 2017
Rapid High-Fidelity Single-Shot Dispersive Readout of Superconducting Qubits Walter, T.; Kurpiers, P.; Gasparinetti, S. Physical Review Applied, Vol. 7, Issue 5 https://doi.org/10.1103/PhysRevApplied.7.054020	journal	May 2017
Role of relaxation in the quantum measurement of a superconducting qubit using a nonlinear oscillator Picot, T.; Lupaşcu, A.; Saito, S. Physical Review B, Vol. 78, Issue 13 https://doi.org/10.1103/PhysRevB.78.132508	journal	October 2008
High-Fidelity Gates in a Single Josephson Qubit Lucero, Erik; Hofheinz, M.; Ansmann, M. Physical Review Letters, Vol. 100, Issue 24 https://doi.org/10.1103/PhysRevLett.100.247001	journal	June 2008
Single-Shot Readout of Multiple Nuclear Spin Qubits in Diamond under Ambient Conditions Dréau, A.; Spinicelli, P.; Maze, J. R. Physical Review Letters, Vol. 110, Issue 6 https://doi.org/10.1103/PhysRevLett.110.060502	journal	February 2013
Machine Learning for Discriminating Quantum Measurement Trajectories and Improving Readout Magesan, Easwar; Gambetta, Jay M.; Córcoles, A. D. Physical Review Letters, Vol. 114, Issue 20 https://doi.org/10.1103/PhysRevLett.114.200501	journal	May 2015
Thermal and Residual Excited-State Population in a 3D Transmon Qubit Jin, X. Y.; Kamal, A.; Sears, A. P. Physical Review Letters, Vol. 114, Issue 24 https://doi.org/10.1103/PhysRevLett.114.240501	journal	June 2015
High-Fidelity Software-Defined Quantum Logic on a Superconducting Qudit Wu, Xian; Tomarken, S. L.; Petersson, N. Anders Physical Review Letters, Vol. 125, Issue 17 https://doi.org/10.1103/PhysRevLett.125.170502	journal	October 2020
ac Stark Shift and Dephasing of a Superconducting Qubit Strongly Coupled to a Cavity Field Schuster, D. I.; Wallraff, A.; Blais, A. Physical Review Letters, Vol. 94, Issue 12 https://doi.org/10.1103/PhysRevLett.94.123602	journal	March 2005
Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout Wallraff, A.; Schuster, D. I.; Blais, A. Physical Review Letters, Vol. 95, Issue 6 https://doi.org/10.1103/PhysRevLett.95.060501	journal	August 2005
Fast High-Fidelity Quantum Nondemolition Qubit Readout via a Nonperturbative Cross-Kerr Coupling Dassonneville, R.; Ramos, T.; Milchakov, V. Physical Review X, Vol. 10, Issue 1 https://doi.org/10.1103/PhysRevX.10.011045	journal	February 2020
Computation of Molecular Spectra on a Quantum Processor with an Error-Resilient Algorithm Colless, J. I.; Ramasesh, V. V.; Dahlen, D. Physical Review X, Vol. 8, Issue 1 https://doi.org/10.1103/PhysRevX.8.011021	journal	February 2018
An introduction to hidden Markov models Rabiner, L.; Juang, B. IEEE ASSP Magazine, Vol. 3, Issue 1 https://doi.org/10.1109/MASSP.1986.1165342	journal	January 1986
Demonstration of universal parametric entangling gates on a multi-qubit lattice Reagor, Matthew; Osborn, Christopher B.; Tezak, Nikolas Science Advances, Vol. 4, Issue 2 https://doi.org/10.1126/sciadv.aao3603	journal	February 2018
Strongly correlated quantum walks with a 12-qubit superconducting processor Yan, Zhiguang; Zhang, Yu-Ran; Gong, Ming Science, Vol. 364, Issue 6442 https://doi.org/10.1126/science.aaw1611	journal	May 2019
A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains Baum, Leonard E.; Petrie, Ted; Soules, George The Annals of Mathematical Statistics, Vol. 41, Issue 1 https://doi.org/10.1214/aoms/1177697196	journal	February 1970

Similar Records

CHMMPP: A c++ library for constrained Hidden Markov Models

Software · Wed May 22 20:00:00 EDT 2024 · OSTI ID:code-145407

Enhancing Qubit Readout with Autoencoders

Journal Article · Thu Jul 20 00:00:00 EDT 2023 · Physical Review Applied · OSTI ID:1993136

Transmon qubit readout fidelity at the threshold for quantum error correction without a quantum-limited amplifier

Journal Article · Thu Mar 16 00:00:00 EDT 2023 · npj Quantum Information · OSTI ID:1961891

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Quantum computation
quantum control
quantum information processing

Improving qubit readout with hidden Markov models

Citation Formats

References (29)

Similar Records

Related Subjects