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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 promising tool for characterizing the noise in experimental implementations of quantum systems. In this paper, we prove that the estimates produced by randomized benchmarking (both standard and interleaved) for…

量子物理 · 物理学 2015-12-18 Joel J. Wallman , Steven T. Flammia

Estimating the features of noise is the first step in a chain of protocols that will someday lead to fault tolerant quantum computers. The randomized benchmarking (RB) protocol is designed with this exact mindset, estimating the average…

量子物理 · 物理学 2021-12-15 Pedro Figueroa-Romero , Kavan Modi , Thomas M. Stace , Min-Hsiu Hsieh

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

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 investigate randomized benchmarking in a general setting with quantum gates that form a representation, not necessarily an irreducible one, of a finite group. We derive an estimate for the average fidelity, to which experimental data may…

量子物理 · 物理学 2019-01-23 Daniel Stilck França , Anna-Lena Hashagen

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 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

We describe and expand upon the scalable randomized benchmarking protocol proposed in Phys. Rev. Lett. 106, 180504 (2011) which provides a method for benchmarking quantum gates and estimating the gate-dependence of the noise. The protocol…

量子物理 · 物理学 2012-04-30 Easwar Magesan , Jay M. Gambetta , Joseph Emerson

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

The presence of correlations in noisy quantum circuits will be an inevitable side effect as quantum devices continue to grow in size and depth. Randomized Benchmarking (RB) is arguably the simplest method to initially assess the overall…

量子物理 · 物理学 2022-07-05 Shih-Xian Yang , Pedro Figueroa-Romero , Min-Hsiu Hsieh

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

Any technology requires precise benchmarking of its components, and the quantum technologies are no exception. Randomized benchmarking allows for the relatively resource economical estimation of the average gate fidelity of quantum gates…

量子物理 · 物理学 2019-08-14 E. Onorati , A. H. Werner , J. Eisert

As quantum devices make steady progress towards intermediate scale and fault-tolerant quantum computing, it is essential to develop rigorous and efficient measurement protocols that account for known sources of noise. Most existing quantum…

量子物理 · 物理学 2024-01-22 M. J. Gullans , M. Caranti , A. R. Mills , J. R. Petta

Randomized benchmarking is a widely used experimental technique to characterize the average error of quantum operations. Benchmarking procedures that scale to enable characterization of $n$-qubit circuits rely on efficient procedures for…

量子物理 · 物理学 2016-05-20 Andrew W. Cross , Easwar Magesan , Lev S. Bishop , John A. Smolin , Jay M. Gambetta

Current development in programmable analogue quantum simulators (AQS), whose physical implementation can be realised in the near-term compared to those of large-scale digital quantum computers, highlights the need for robust testing…

量子物理 · 物理学 2020-08-10 Ellen Derbyshire , Jorge Yago Malo , Andrew Daley , Elham Kashefi , Petros Wallden

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

High-dimensional quantum computing has generated significant interest due to its potential to address scalability and error correction challenges faced by traditional qubit-based systems. This paper investigates the Average Gate Fidelity…

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

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
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