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Randomized benchmarking (RB) is widely used to measure an error rate of a set of quantum gates, by performing random circuits that would do nothing if the gates were perfect. In the limit of no finite-sampling error, the exponential decay…

量子物理 · 物理学 2017-10-03 Timothy Proctor , Kenneth Rudinger , Kevin Young , Mohan Sarovar , Robin Blume-Kohout

Characterization of experimental systems is an essential step in developing and improving quantum hardware. A collection of protocols known as Randomized Benchmarking (RB) was developed in the past decade, which provides an efficient way to…

量子物理 · 物理学 2021-11-22 Linghang Kong

Randomized benchmarking (RB) refers to a collection of protocols that in the past decade have become central methods for characterizing quantum gates. These protocols aim at efficiently estimating the quality of a set of quantum gates in a…

量子物理 · 物理学 2022-06-20 Jonas Helsen , Ingo Roth , Emilio Onorati , Albert H. Werner , Jens Eisert

Randomized benchmarking (RB) is an efficient and robust method to characterize gate errors in quantum circuits. Averaging over random sequences of gates leads to estimates of gate errors in terms of the average fidelity. These estimates are…

量子物理 · 物理学 2019-09-11 Jonas Helsen , Joel J. Wallman , Steven T. Flammia , Stephanie Wehner

Randomized benchmarking (RB) is a popular procedure used to gauge the performance of a set of gates useful for quantum information processing (QIP). Recently, Proctor et al. [Phys. Rev. Lett. 119, 130502 (2017)] demonstrated a practically…

量子物理 · 物理学 2019-07-04 Jiaan Qi , Hui Khoon Ng

We describe a simple randomized benchmarking protocol for quantum information processors and obtain a sequence of models for the observable fidelity decay as a function of a perturbative expansion of the errors. We are able to prove that…

量子物理 · 物理学 2011-06-14 Easwar Magesan , J. M. Gambetta , Joseph Emerson

Randomized benchmarking has emerged as a popular and easy-to-implement experimental technique for gauging the quality of gate operations in quantum computing devices. A typical randomized benchmarking procedure identifies the exponential…

量子物理 · 物理学 2021-02-24 Jiaan Qi , Hui Khoon Ng

In this paper, we analyze the performance of randomized benchmarking protocols on gate sets under a variety of realistic error models that include systematic rotations, amplitude damping, leakage to higher levels, and 1/f noise. We find…

量子物理 · 物理学 2014-07-08 Jeffrey M. Epstein , Andrew W. Cross , Easwar Magesan , Jay M. Gambetta

We present measurements of single-qubit gate errors for a superconducting qubit. Results from quantum process tomography and randomized benchmarking are compared with gate errors obtained from a double pi pulse experiment. Randomized…

介观与纳米尺度物理 · 物理学 2009-03-08 J. M. Chow , J. M. Gambetta , L. Tornberg , Jens Koch , Lev S. Bishop , A. A. Houck , B. R. Johnson , L. Frunzio , S. M. Girvin , R. J. Schoelkopf

In its many variants, randomized benchmarking (RB) is a broadly used technique for assessing the quality of gate implementations on quantum computers. A detailed theoretical understanding and general guarantees exist for the functioning and…

量子物理 · 物理学 2023-06-28 Markus Heinrich , Martin Kliesch , Ingo Roth

We show that the Randomized Benchmarking (RB) protocol is a convolution amenable to Fourier space analysis. By adopting the mathematical framework of Fourier transforms of matrix-valued functions on groups established in recent work from…

量子物理 · 物理学 2021-11-17 Seth T. Merkel , Emily J. Pritchett , Bryan H. Fong

We analyze randomized benchmarking for arbitrary gate-dependent noise and prove that the exact impact of gate-dependent noise can be described by a single perturbation term that decays exponentially with the sequence length. That is, the…

量子物理 · 物理学 2018-01-30 Joel J. Wallman

A crucial task to obtain optimal and reliable quantum devices is to quantify their overall performance. The average fidelity of quantum gates is a particular figure of merit that can be estimated efficiently by Randomized Benchmarking (RB).…

量子物理 · 物理学 2024-05-01 Pedro Figueroa-Romero , Miha Papič , Adrian Auer , Min-Hsiu Hsieh , Kavan Modi , Inés de Vega

Randomized benchmarking (RB) protocols are widely used to measure an average error rate for a set of quantum logic gates. However, the standard version of RB is limited because it only benchmarks a processor's native gates indirectly, by…

Randomized benchmarking (RB) is a widely used method for estimating the average fidelity of gates implemented on a quantum computing device. The stochastic error of the average gate fidelity estimated by RB depends on the sampling strategy…

量子物理 · 物理学 2021-09-17 Toshinari Itoko , Rudy Raymond

Randomized benchmarking (RB) is a widely adopted protocol for estimating the average gate fidelity in quantum hardware. However, its standard formulation relies on the assumption of temporally uncorrelated noise, an assumption often…

Randomized benchmarking is a technique for estimating the average fidelity of a set of quantum gates. For general gatesets, however, it is difficult to draw robust conclusions from the resulting data. Here we propose a new method based on…

量子物理 · 物理学 2019-07-31 Jonas Helsen , Xiao Xue , Lieven M. K. Vandersypen , Stephanie Wehner

We analyze the impact of non-Markovian classical noise on single-qubit randomized benchmarking experiments, in a manner that explicitly models the realization of each gate via realistic finite-duration pulses. Our new framework exploits the…

量子物理 · 物理学 2025-02-26 Antoine Brillant , Peter Groszkowski , Alireza Seif , Jens Koch , Aashish Clerk

Randomized benchmarking (RB) is an important protocol for robustly characterizing the error rates of quantum gates. The technique is typically applied to the Clifford gates since they form a group that satisfies a convenient technical…

量子物理 · 物理学 2017-05-26 Robin Harper , Steven T. Flammia

With improved gate calibrations reducing unitary errors, we achieve a benchmarked single-qubit gate fidelity of 99.95% with superconducting qubits in a circuit quantum electrodynamics system. We present a method for distinguishing between…

量子物理 · 物理学 2016-01-13 Sarah Sheldon , Lev S. Bishop , Easwar Magesan , Stefan Filipp , Jerry M. Chow , Jay M. Gambetta
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