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Error models for quantum computing processors describe their deviation from ideal behavior and predict the consequences in applications. But those processors' experimental behavior -- the observed outcome statistics of quantum circuits --…

Quantum Physics · Physics 2020-12-23 Robin Blume-Kohout , Kenneth Rudinger , Erik Nielsen , Timothy Proctor , Kevin Young

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…

Quantum Physics · Physics 2025-08-14 Arnaud Carignan-Dugas , Joel J. Wallman , Joseph Emerson

Randomized benchmarking techniques have been an essential tool for assessing the performance of contemporary quantum devices. The goal of this tutorial is to provide a pedagogical, self-contained, introduction to randomized benchmarking.…

Quantum Physics · Physics 2025-07-23 Ana Silva , Eliska Greplova

We demonstrate a new technique that adapts single-qubit randomized benchmarking to two-qubit M{\o}lmer-S{\o}rensen gates. We use the controllable gate phase to generate Cliffords that act on a two-state subspace, enabling benchmarking of…

Quantum Physics · Physics 2025-10-13 R. T. Sutherland , A. C. Hughes , J. P. Marceaux , H. M. Knaack , C. M. Löschnauer , R. Srinivas

Accurate noise characterization in quantum gates and circuits is vital for the development of reliable quantum simulations for chemically relevant systems and fault-tolerant quantum computing. This paper reviews a variety of key…

Quantum computers have the potential to outperform classical computers in a range of computational tasks, such as prime factorisation and unstructured searching. However, real-world quantum computers are subject to noise. Quantifying noise…

Quantum Physics · Physics 2023-03-01 Conrad Strydom , Mark Tame

Spin systems controlled and probed by magnetic resonance have been valuable for testing the ideas of quantum control and quantum error correction. This paper introduces an X-band pulsed electron spin resonance spectrometer designed for…

Quantum Physics · Physics 2016-05-25 Daniel K. Park , Guanru Feng , Robabeh Rahimi , Jonathan Baugh , Raymond Laflamme

Benchmarking quantum devices is a foundational task for the sustained development of quantum technologies. However, accurate in situ characterization of large-scale quantum devices remains a formidable challenge: such systems experience…

Quantum Physics · Physics 2025-10-14 Tudor Manole , Daniel K. Mark , Wenjie Gong , Bingtian Ye , Yury Polyanskiy , Soonwon Choi

Among the most popular and well studied quantum characterization, verification and validation techniques is randomized benchmarking (RB), an important statistical tool used to characterize the performance of physical logic operations useful…

Quantum Physics · Physics 2017-02-01 Harrison Ball , Thomas M. Stace , Steven T. Flammia , Michael J. Biercuk

We introduce ACES, a method for scalable noise metrology of quantum circuits that stands for Averaged Circuit Eigenvalue Sampling. It simultaneously estimates the individual error rates of all the gates in collections of quantum circuits,…

Quantum Physics · Physics 2024-03-26 Steven T. Flammia

Gate fidelity -- an average fidelity over all possible input states -- is the workhorse metric for benchmarking quantum gates or circuits, yet fault-tolerant quantum computing ultimately depends on the worst-case behavior, typically…

Quantum Physics · Physics 2026-03-10 Kyoungho Cho , Ilkwon Sohn , Yongsoo Hwang , Jeongho Bang

A precise measurement of dephasing over a range of timescales is critical for improving quantum gates beyond the error correction threshold. We present a metrological tool, based on randomized benchmarking, capable of greatly increasing the…

Characterising quantum processes is a key task in and constitutes a challenge for the development of quantum technologies, especially at the noisy intermediate scale of today's devices. One method for characterising processes is randomised…

Quantum Physics · Physics 2018-10-31 Ingo Roth , Richard Kueng , Shelby Kimmel , Yi-Kai Liu , David Gross , Jens Eisert , Martin Kliesch

As quantum computers grow in size and scope, a question of great importance is how best to benchmark performance. Here we define a set of characteristics that any benchmark should follow -- randomized, well-defined, holistic, device…

Quantum Physics · Physics 2023-03-06 Mirko Amico , Helena Zhang , Petar Jurcevic , Lev S. Bishop , Paul Nation , Andrew Wack , David C. McKay

Observed events in recommendation are consequence of the decisions made by a policy, thus they are usually selectively labeled, namely the data are Missing Not At Random (MNAR), which often causes large bias to the estimate of true outcomes…

Machine Learning · Computer Science 2021-10-05 Zifeng Wang , Xi Chen , Rui Wen , Shao-Lun Huang

We present a general framework for the quantification and characterization of leakage errors that result when a quantum system is encoded in the subspace of a larger system. To do this we introduce new metrics for quantifying the coherent…

Quantum Physics · Physics 2018-03-14 Christopher J. Wood , Jay M. Gambetta

Randomized Response (RR) is a protocol designed to collect and analyze categorical data with local differential privacy guarantees. It has been used as a building block of mechanisms deployed by Big tech companies to collect app or web…

Cryptography and Security · Computer Science 2026-01-14 Carlos Antonio Pinzón , Ehab ElSalamouny , Lucas Massot , Alexis Miller , Héber Hwang Arcolezi , Catuscia Palamidessi

Characterizing the noise in the set of gate operations that form the building blocks of a quantum computational device is a necessity for assessing the quality of the device. Here, we introduce randomized linear gate set tomography, an…

Quantum Physics · Physics 2021-08-25 Yanwu Gu , Rajesh Mishra , Berthold-Georg Englert , Hui Khoon Ng

Randomized measurements are useful for analyzing quantum systems especially when quantum control is not fully perfect. However, their practical realization typically requires multiple rotations in the complex space due to the adoption of…

Quantum Physics · Physics 2025-08-28 Jin-Min Liang , Satoya Imai , Shuheng Liu , Shao-Ming Fei , Otfried Gühne , Qiongyi He

The Robust Phase Estimation (RPE) protocol was designed to be an efficient and robust way to calibrate quantum operations. The robustness of RPE refers to its ability to estimate a single parameter, usually gate amplitude, even when other…

Quantum Physics · Physics 2019-11-12 Adam M. Meier , Karl A. Burkhardt , Brian J. McMahon , Creston D. Herold
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