Error mitigation with Clifford quantum-circuit data

Arrasmith, Andrew Thomas; Czarnik, Piotr Jan; Coles, Patrick Joseph; Cincio, Lukasz

doi:10.22331/q-2021-11-26-592

Error mitigation with Clifford quantum-circuit data

Journal Article · Fri Nov 26 04:00:00 EST 2021 · Quantum

DOI:https://doi.org/10.22331/q-2021-11-26-592· OSTI ID:1836985

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Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Achieving near-term quantum observables despite significant hardware noise. For this purpose, we propose a novel, scalable error-mitigation method that applies to gate-based quantum computers. The method generates training data { Xi noisy , Xi exact } via quantum circuits composed largely of Clifford gates, which can be efficiently simulated classically, where Xi noisy and Xi exact are noisy and noiseless observables respectively. Fitting a linear ansatz to this data then allows for the prediction of noise-free observables for arbitrary circuits. We analyze the performance of our method versus the number of qubits, circuit depth, and number of non-Clifford gates. Here, we obtain an order-of-magnitude error reduction for a ground-state energy problem on 16 qubits in an IBMQ quantum computer and on a 64-qubit noisy simulator.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1836985

Report Number(s):: LA-UR--20-23755

Journal Information:: Quantum, Journal Name: Quantum Vol. 5; ISSN 2521-327X

Publisher:: Quantum Science Open CommunityCopyright Statement

Country of Publication:: United States

Language:: English

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Scalable Evaluation of Quantum-Circuit Error Loss Using Clifford Sampling Wang, Zhen; Chen, Yanzhu; Song, Zixuan Physical Review Letters, Vol. 126, Issue 8 https://doi.org/10.1103/physrevlett.126.080501	journal	February 2021
Simple Mitigation Strategy for a Systematic Gate Error in IBMQ Bultrini, Daniel; Gordon, Max Hunter; López, Esperanza arXiv https://doi.org/10.48550/arxiv.2012.00831	preprint	January 2020
Wildcard error: Quantifying unmodeled errors in quantum processors Blume-Kohout, Robin; Rudinger, Kenneth; Nielsen, Erik arXiv https://doi.org/10.48550/arxiv.2012.12231	preprint	January 2020
Error mitigation by training with fermionic linear optics Montanaro, Ashley; Stanisic, Stasja arXiv https://doi.org/10.48550/arxiv.2102.02120	preprint	January 2021
Mitigating depolarizing noise on quantum computers with noise-estimation circuits Urbanek, Miroslav; Nachman, Benjamin; Pascuzzi, Vincent R. arXiv https://doi.org/10.48550/arxiv.2103.08591	text	January 2021
Self-mitigating Trotter circuits for SU(2) lattice gauge theory on a quantum computer Rahman, Sarmed A.; Lewis, Randy; Mendicelli, Emanuele arXiv https://doi.org/10.48550/arxiv.2205.09247	text	January 2022

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