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Group twirling is crucial in quantum information processing, particularly in randomized benchmarking and random compiling. While protocols based on Pauli twirling have been effectively crafted to transform arbitrary noise channels into…

量子物理 · 物理学 2024-12-04 Guoding Liu , Ziyi Xie , Zitai Xu , Xiongfeng Ma

With the development of controllable quantum systems, fast and practical characterization for multi-qubit gates is essential for building high-fidelity quantum computing devices. The usual way to fulfill this requirement via randomized…

量子物理 · 物理学 2023-02-10 Yihong Zhang , Wenjun Yu , Pei Zeng , Guoding Liu , Xiongfeng Ma

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

Standard randomized benchmarking protocols entail sampling from a unitary 2 design, which is not always practical. In this article we examine randomized benchmarking protocols based on subgroups of the Clifford group that are not unitary 2…

量子物理 · 物理学 2018-06-20 Winton G. Brown , Bryan Eastin

We describe a practical experimental protocol for robustly characterizing the error rates of non-Clifford gates associated with dihedral groups, including gates in SU(2) associated with arbitrarily small angle rotations. Our dihedral…

量子物理 · 物理学 2025-08-14 Arnaud Carignan-Dugas , Joel J. Wallman , Joseph Emerson

Characterization of quantum devices generates insights into their sources of disturbances. State-of-the-art characterization protocols often focus on incoherent noise and eliminate coherent errors when using Pauli or Clifford twirling…

量子物理 · 物理学 2025-03-18 Noah Kaufmann , Ivan Rojkov , Florentin Reiter

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 experimental platforms for quantum information processing continue to mature, characterization of the quality of unitary gates that can be applied to their quantum bits (qubits) becomes essential. Eventually, the quality must be…

The conventional circuit paradigm, utilizing a limited number of gates to construct arbitrary quantum circuits, is hindered by significant noise overhead. For instance, the standard gate paradigm employs two CNOT gates for the partial…

量子物理 · 物理学 2024-04-04 Jader P. Santos , Ben Bar , Raam Uzdin

The goal of benchmarking is to determine how far the output of a noisy system is from its ideal behavior; this becomes exceedingly difficult for large quantum systems where classical simulations become intractable. A common approach is to…

Randomized benchmarking (RB) is the gold standard for experimentally evaluating the quality of quantum operations. The current framework for RB is centered on groups and their representations, but this can be problematic. For example,…

量子物理 · 物理学 2022-12-22 Jianxin Chen , Dawei Ding , Cupjin Huang

Randomized benchmarking is a powerful technique to efficiently estimate the performance and reliability of quantum gates, circuits and devices. Here we propose to perform randomized benchmarking in a coherent way, where superpositions of…

量子物理 · 物理学 2021-07-14 Jorge Miguel-Ramiro , Alexander Pirker , Wolfgang Dür

For random quantum circuits on $n$ qubits of depth $\Theta(\log n)$ with depolarizing noise, the task of sampling from the output state can be efficiently performed classically using a Pauli path method [Aharonov et al. Proceedings of the…

量子物理 · 物理学 2025-05-07 Guillermo González-García , J. Ignacio Cirac , Rahul Trivedi

Noise forms a central obstacle to effective quantum information processing. Recent experimental advances have enabled the tailoring of noise properties through Pauli twirling, transforming arbitrary noise channels into Pauli channels. This…

量子物理 · 物理学 2026-02-10 Joris Kattemölle , Balázs Gulácsi , Guido Burkard

Randomized benchmarking (RB) is a powerful method for determining the error rate of experimental quantum gates. Traditional RB, however, is restricted to gatesets, such as the Clifford group, that form a unitary 2-design. The recently…

量子物理 · 物理学 2021-03-31 Jahan Claes , Eleanor Rieffel , Zhihui Wang

We develop a family of quantum accreditation protocols for quantum circuits with non-Clifford two-qubit gates. The latter includes families of gates such as the fSim and XY families of gates, native to existing hardwares. We provide…

量子物理 · 物理学 2026-05-20 Andrew Jackson , Theodoros Kapourniotis , Animesh Datta

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

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

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

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
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