Randomized Compiling for Scalable Quantum Computing on a Noisy Superconducting Quantum Processor

Hashim, Akel; Naik, Ravi; Morvan, Alexis; Ville, Jean-Loup; Mitchell, Bradley; Kreikebaum, John Mark; Davis, Marc; Smith, Ethan; Iancu, Costin; O’Brien, Kevin; Hincks, Ian; Wallman, Joel J.; Emerson, Joseph; Siddiqi, Irfan

doi:10.1103/physrevx.11.041039

Cited by 81 publications

(89 citation statements)

References 43 publications

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“…(U ) k are probabilities (we set P 0 = I ⊗n for convenience). Although not every noise process is a Pauli channel, under the assumptions A1 and A2 every process can be efficiently transformed into Pauli channels via Randomized Compiling [26,31], available in the software True-Q [30].…”

Section: A Notation and Assumptionsmentioning

confidence: 99%

“…See the Supplemental Material for Ref. [26] for further details about CER and errors on this device.…”

Section: The Quantity Enoxmentioning

confidence: 99%

“…While GST can reconstruct arbitrary noise processes, more efficient protocols have been developed to reconstruct specific types of noise [24,[27][28][29]. Among these is "Cycle Error Reconstruction" (CER, available in the software True-Q [30]), which can efficiently reconstruct Pauli channels even when they act on more than two qubits [26,29]. Leveraging CER, in this paper we develop two EM protocols (which we name "Pauli Error Cancellation", or PEC, and "Noiseless Output Extrapolation", or NOX) to mitigate noise processes involving an arbitrary number of qubits, potentially up to an entire register.…”

Section: Introductionmentioning

confidence: 99%

“…Figure 1. (a) Micrograph of the superconducting quantum processor at the Advanced Quantum Testbed (reprinted with permission from Ref [26]…”

mentioning

confidence: 99%

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Efficiently improving the performance of noisy quantum computers

Ferracin¹,

Hashim²,

Ville³

et al. 2022

Preprint

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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.

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Section: A Notation and Assumptionsmentioning

confidence: 99%

“…See the Supplemental Material for Ref. [26] for further details about CER and errors on this device.…”

Section: The Quantity Enoxmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…Figure 1. (a) Micrograph of the superconducting quantum processor at the Advanced Quantum Testbed (reprinted with permission from Ref [26]…”

mentioning

confidence: 99%

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Efficiently improving the performance of noisy quantum computers

Ferracin¹,

Hashim²,

Ville³

et al. 2022

Preprint

Self Cite

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show abstract

“…Fast microwave-entangling gates in coupled transmons system with similar J eff have been demonstrated [27,72], so we shall use this µ X value as a reference. More detail on the mapping between coupled spins model and interacting fluxoniums system is discussed in Appendix C.…”

Section: Multi-qubit Couplingmentioning

confidence: 99%