Efficiently improving the performance of noisy quantum computers

Ferracin, Samuele; Hashim, Akel; Ville, Jean-Loup; Naik, Ravi; Carignan-Dugas, Arnaud; Qassim, Hammam; Morvan, Alexis; Santiago, David I.; Siddiqi, Irfan; Wallman, Joel J.

doi:10.22331/q-2024-07-15-1410

Efficiently improving the performance of noisy quantum computers

Journal Article · Mon Jul 15 00:00:00 EDT 2024 · Quantum

DOI:https://doi.org/10.22331/q-2024-07-15-1410· OSTI ID:2440843

Ferracin, Samuele ^[1]; Hashim, Akel ^[2]; Ville, Jean-Loup ^[3]; Naik, Ravi ^[2]; Carignan-Dugas, Arnaud ^[4]; Qassim, Hammam ^[4]; Morvan, Alexis ^[2]; Santiago, David I. ^[2]; Siddiqi, Irfan ^[2]; Wallman, Joel J. ^[1]

Keysight Technologies Canada, Kanata, ON (Canada); Univ. of Waterloo, ON (Canada)
University of California, Berkeley, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
University of California, Berkeley, CA (United States)
Keysight Technologies Canada, Kanata, ON (Canada)

Using near-term quantum computers to achieve a quantum advantage requires efficient strategies to improve the performance of the noisy quantum devices presently available. We develop and experimentally validate two efficient error mitigation protocols named "Noiseless Output Extrapolation" and "Pauli Error Cancellation" that can drastically enhance the performance of quantum circuits composed of noisy cycles of gates. By combining popular mitigation strategies such as probabilistic error cancellation and noise amplification with efficient noise reconstruction methods, our protocols can mitigate a wide range of noise processes that do not satisfy the assumptions underlying existing mitigation protocols, including non-local and gate-dependent processes. We test our protocols on a four-qubit superconducting processor at the Advanced Quantum Testbed. We observe significant improvements in the performance of both structured and random circuits, with up to 86% improvement in variation distance over the unmitigated outputs. Our experiments demonstrate the effectiveness of our protocols, as well as their practicality for current hardware platforms.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 2440843

Journal Information:: Quantum, Journal Name: Quantum Vol. 8; ISSN 2521-327X

Publisher:: Quantum Science Open CommunityCopyright Statement

Country of Publication:: United States

Language:: English

References (47)

Efficient Quantum Algorithms for GHZ and W States, and Implementation on the IBM Quantum Computer Cruz, Diogo; Fournier, Romain; Gremion, Fabien Advanced Quantum Technologies, Vol. 2, Issue 5-6 https://doi.org/10.1002/qute.201900015	journal	April 2019
Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography Blume-Kohout, Robin; Gamble, John King; Nielsen, Erik Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/ncomms14485	journal	February 2017
Characterizing large-scale quantum computers via cycle benchmarking Erhard, Alexander; Wallman, Joel J.; Postler, Lukas Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-13068-7	journal	November 2019
Error-mitigated quantum gates exceeding physical fidelities in a trapped-ion system Zhang, Shuaining; Lu, Yao; Zhang, Kuan Nature Communications, Vol. 11, Issue 1 https://doi.org/10.1038/s41467-020-14376-z	journal	January 2020
Fundamental limits of quantum error mitigation Takagi, Ryuji; Endo, Suguru; Minagawa, Shintaro npj Quantum Information, Vol. 8, Issue 1 https://doi.org/10.1038/s41534-022-00618-z	journal	September 2022
Efficient learning of quantum noise Harper, Robin; Flammia, Steven T.; Wallman, Joel J. Nature Physics, Vol. 16, Issue 12 https://doi.org/10.1038/s41567-020-0992-8	journal	August 2020
Scalable error mitigation for noisy quantum circuits produces competitive expectation values Kim, Youngseok; Wood, Christopher J.; Yoder, Theodore J. Nature Physics https://doi.org/10.1038/s41567-022-01914-3	journal	February 2023
Probabilistic error cancellation with sparse Pauli–Lindblad models on noisy quantum processors van den Berg, Ewout; Minev, Zlatko K.; Kandala, Abhinav Nature Physics, Vol. 19, Issue 8 https://doi.org/10.1038/s41567-023-02042-2	journal	May 2023
Error mitigation extends the computational reach of a noisy quantum processor Kandala, Abhinav; Temme, Kristan; Córcoles, Antonio D. Nature, Vol. 567, Issue 7749 https://doi.org/10.1038/s41586-019-1040-7	journal	March 2019
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
Quantum process tomography of the quantum Fourier transform Weinstein, Yaakov S.; Havel, Timothy F.; Emerson, Joseph The Journal of Chemical Physics, Vol. 121, Issue 13 https://doi.org/10.1063/1.1785151	journal	October 2004
Accrediting outputs of noisy intermediate-scale quantum computing devices Ferracin, Samuele; Kapourniotis, Theodoros; Datta, Animesh New Journal of Physics, Vol. 21, Issue 11 https://doi.org/10.1088/1367-2630/ab4fd6	journal	November 2019
Learning-Based Quantum Error Mitigation Strikis, Armands; Qin, Dayue; Chen, Yanzhu PRX Quantum, Vol. 2, Issue 4 https://doi.org/10.1103/PRXQuantum.2.040330	journal	November 2021
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
Quantum Error Mitigation as a Universal Error Reduction Technique: Applications from the NISQ to the Fault-Tolerant Quantum Computing Eras Suzuki, Yasunari; Endo, Suguru; Fujii, Keisuke PRX Quantum, Vol. 3, Issue 1 https://doi.org/10.1103/PRXQuantum.3.010345	journal	March 2022
Zero-noise extrapolation for quantum-gate error mitigation with identity insertions He, Andre; Nachman, Benjamin; de Jong, Wibe A. Physical Review A, Vol. 102, Issue 1 https://doi.org/10.1103/PhysRevA.102.012426	journal	July 2020
Mitigating measurement errors in multiqubit experiments Bravyi, Sergey; Sheldon, Sarah; Kandala, Abhinav Physical Review A, Vol. 103, Issue 4 https://doi.org/10.1103/PhysRevA.103.042605	journal	April 2021
Experimental accreditation of outputs of noisy quantum computers Ferracin, Samuele; Merkel, Seth T.; McKay, David Physical Review A, Vol. 104, Issue 4 https://doi.org/10.1103/PhysRevA.104.042603	journal	October 2021
Self-consistent quantum process tomography Merkel, Seth T.; Gambetta, Jay M.; Smolin, John A. Physical Review A, Vol. 87, Issue 6 https://doi.org/10.1103/PhysRevA.87.062119	journal	June 2013
Characterizing universal gate sets via dihedral benchmarking Carignan-Dugas, Arnaud; Wallman, Joel J.; Emerson, Joseph Physical Review A, Vol. 92, Issue 6 https://doi.org/10.1103/PhysRevA.92.060302	journal	December 2015
Noise tailoring for scalable quantum computation via randomized compiling Wallman, Joel J.; Emerson, Joseph Physical Review A, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevA.94.052325	journal	November 2016
Efficient Z gates for quantum computing McKay, David C.; Wood, Christopher J.; Sheldon, Sarah Physical Review A, Vol. 96, Issue 2 https://doi.org/10.1103/PhysRevA.96.022330	journal	August 2017
Scalable and Robust Randomized Benchmarking of Quantum Processes Magesan, Easwar; Gambetta, J. M.; Emerson, Joseph Physical Review Letters, Vol. 106, Issue 18 https://doi.org/10.1103/PhysRevLett.106.180504	journal	May 2011
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
Hardware-Efficient Microwave-Activated Tunable Coupling between Superconducting Qubits Mitchell, Bradley K.; Naik, Ravi K.; Morvan, Alexis Physical Review Letters, Vol. 127, Issue 20 https://doi.org/10.1103/PhysRevLett.127.200502	journal	November 2021
Error Mitigation for Universal Gates on Encoded Qubits Piveteau, Christophe; Sutter, David; Bravyi, Sergey Physical Review Letters, Vol. 127, Issue 20 https://doi.org/10.1103/PhysRevLett.127.200505	journal	November 2021
Exponential Error Suppression for Near-Term Quantum Devices Koczor, Bálint Physical Review X, Vol. 11, Issue 3 https://doi.org/10.1103/PhysRevX.11.031057	journal	September 2021
Virtual Distillation for Quantum Error Mitigation Huggins, William J.; McArdle, Sam; O’Brien, Thomas E. Physical Review X, Vol. 11, Issue 4 https://doi.org/10.1103/PhysRevX.11.041036	journal	November 2021
Randomized Compiling for Scalable Quantum Computing on a Noisy Superconducting Quantum Processor Hashim, Akel; Naik, Ravi K.; Morvan, Alexis Physical Review X, Vol. 11, Issue 4 https://doi.org/10.1103/PhysRevX.11.041039	journal	November 2021
Efficient Variational Quantum Simulator Incorporating Active Error Minimization Li, Ying; Benjamin, Simon C. Physical Review X, Vol. 7, Issue 2 https://doi.org/10.1103/PhysRevX.7.021050	journal	June 2017
Practical Quantum Error Mitigation for Near-Future Applications Endo, Suguru; Benjamin, Simon C.; Li, Ying Physical Review X, Vol. 8, Issue 3 https://doi.org/10.1103/PhysRevX.8.031027	journal	July 2018
Digital zero noise extrapolation for quantum error mitigation Giurgica-Tiron, Tudor; Hindy, Yousef; LaRose, Ryan 2020 IEEE International Conference on Quantum Computing and Engineering (QCE) https://doi.org/10.1109/QCE49297.2020.00045	conference	October 2020
Quantum computation with universal error mitigation on a superconducting quantum processor Song, Chao; Cui, Jing; Wang, H. Science Advances, Vol. 5, Issue 9 https://doi.org/10.1126/sciadv.aaw5686	journal	September 2019
Efficient Estimation of Pauli Channels Flammia, Steven T.; Wallman, Joel J. ACM Transactions on Quantum Computing, Vol. 1, Issue 1 https://doi.org/10.1145/3408039	journal	December 2020
Deterministic local doubling of W states Yesilyurt, Can; Bugu, Sinan; Ozaydin, Fatih Journal of the Optical Society of America B, Vol. 33, Issue 11 https://doi.org/10.1364/JOSAB.33.002313	journal	January 2016
Quantum Computing in the NISQ era and beyond Preskill, John Quantum, Vol. 2 https://doi.org/10.22331/q-2018-08-06-79	journal	August 2018
Mitigation of readout noise in near-term quantum devices by classical post-processing based on detector tomography Maciejewski, Filip B.; Zimborás, Zoltán; Oszmaniec, Michał Quantum, Vol. 4 https://doi.org/10.22331/q-2020-04-24-257	journal	April 2020
Modeling and mitigation of cross-talk effects in readout noise with applications to the Quantum Approximate Optimization Algorithm Maciejewski, Filip B.; Baccari, Flavio; Zimborás, Zoltán Quantum, Vol. 5 https://doi.org/10.22331/q-2021-06-01-464	journal	June 2021
Error mitigation with Clifford quantum-circuit data Czarnik, Piotr; Arrasmith, Andrew; Coles, Patrick J. Quantum, Vol. 5 https://doi.org/10.22331/q-2021-11-26-592	journal	November 2021
Mitiq: A software package for error mitigation on noisy quantum computers LaRose, Ryan; Mari, Andrea; Kaiser, Sarah Quantum, Vol. 6 https://doi.org/10.22331/q-2022-08-11-774	journal	August 2022
Averaged Circuit Eigenvalue Sampling Flammia, Steven T. Schloss Dagstuhl - Leibniz-Zentrum für Informatik https://doi.org/10.4230/LIPIcs.TQC.2022.4	text	January 2022
Robust, self-consistent, closed-form tomography of quantum logic gates on a trapped ion qubit Blume-Kohout, Robin; Gamble, John King; Nielsen, Erik arXiv https://doi.org/10.48550/arXiv.1310.4492	preprint	January 2013
Introduction to Quantum Gate Set Tomography Greenbaum, Daniel arXiv https://doi.org/10.48550/arXiv.1509.02921	preprint	January 2015
Resource-efficient Purification-based Quantum Error Mitigation Cai, Zhenyu arXiv https://doi.org/10.48550/arXiv.2107.07279	preprint	January 2021
Computationally Efficient Zero Noise Extrapolation for Quantum Gate Error Mitigation Pascuzzi, Vincent R.; He, Andre; Bauer, Christian W. arXiv https://doi.org/10.48550/arXiv.2110.13338	text	January 2021
The Computational Power of the W and GHZ states D'Hondt, Ellie; Panangaden, Prakash arXiv https://doi.org/10.48550/arXiv.quant-ph/0412177	text	January 2004
Hybrid Quantum-Classical Algorithms and Quantum Error Mitigation Endo, Suguru; Cai, Zhenyu; Benjamin, Simon C. Journal of the Physical Society of Japan, Vol. 90, Issue 3 https://doi.org/10.7566/JPSJ.90.032001	journal	March 2021

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