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In randomized benchmarking of quantum logical gates, partial twirling can be used for simpler implementation, better scaling, and higher accuracy and reliability. For instance, for two-qubit gates, single-qubit twirling is easier to realize…

量子物理 · 物理学 2022-06-22 Kirill Dubovitskii , Yuriy Makhlin

A/B testing, a widely used form of Randomized Controlled Trial (RCT), is a fundamental tool in business data analysis and experimental design. However, despite its intent to maintain randomness, A/B testing often faces challenges that…

统计方法学 · 统计学 2024-08-13 Zihao Zheng , Carol Liu

We develop and apply an extension of the randomized compiling (RC) protocol that includes a special treatment of neighboring qubits and dramatically reduces crosstalk effects caused by the application of faulty gates on superconducting…

量子物理 · 物理学 2024-02-07 Hugo Perrin , Thibault Scoquart , Alexander Shnirman , Jörg Schmalian , Kyrylo Snizhko

Hamiltonian simulation is a key quantum algorithm for modeling complex systems. To implement a Hamiltonian simulation, it is typically decomposed into a list of Pauli strings, each corresponds to an RZ rotation gate with many Clifford…

量子物理 · 物理学 2025-10-16 Yingheng Li , Xulong Tang , Paul Hovland , Ji Liu

In this work, we demonstrate that the zero-fidelity, an approximation to the process fidelity, when combined with randomized benchmarking, becomes robust to state preparation and measurement (SPAM) errors. However, as randomized…

量子物理 · 物理学 2025-12-22 Yu-Hao Chen , Renata Wong , Hsi-Sheng Goan

To successfully perform quantum computations, it is often necessary to first accurately characterize the noise in the underlying hardware. However, it is well known that fundamental limitations prevent the unique identification of the…

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

Authors develop new nonparametric methods for verification and monitoring for quantum randomness based on the ranged correlation function (RCF) and a sequence of the ranged amplitudes (SRA). We carried out RCF-analysis of different topology…

量子物理 · 物理学 2018-10-11 N. S. Perminov , O. I. Bannik , D. Yu. Tarankova , R. R. Nigmatullin

An important step in developing multi-qubit gates is to construct efficient benchmarking protocols for them. In our previous paper (arXiv: 2210.04330), we developed metrological protocols to measure the reduced Choi matrix i.e., the…

量子物理 · 物理学 2023-01-27 Bharath Hebbe Madhusudhana

Quantum error mitigation techniques mimic noiseless quantum circuits by running several related noisy circuits and combining their outputs in particular ways. How well such techniques work is thought to depend strongly on how noisy the…

量子物理 · 物理学 2026-02-12 David Layden , Bradley Mitchell , Karthik Siva

There is currently a significant need for robust and efficient methods for characterizing quantum devices. While there has been significant progress in this direction, there remains a crucial need to precisely determine the strength and…

量子物理 · 物理学 2019-09-04 Arnaud Carignan-Dugas , Joel J. Wallman , Joseph Emerson

Randomized smoothing is the current state-of-the-art method for producing provably robust classifiers. While randomized smoothing typically yields robust $\ell_2$-ball certificates, recent research has generalized provable robustness to…

机器学习 · 计算机科学 2023-09-26 Samuel Pfrommer , Brendon G. Anderson , Somayeh Sojoudi

Machine learning algorithms are known to be susceptible to data poisoning attacks, where an adversary manipulates the training data to degrade performance of the resulting classifier. In this work, we present a unifying view of randomized…

机器学习 · 计算机科学 2021-02-24 Elan Rosenfeld , Ezra Winston , Pradeep Ravikumar , J. Zico Kolter

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…

量子物理 · 物理学 2023-03-01 Conrad Strydom , Mark Tame

Recently it has been shown that Repeat-Until-Success (RUS) circuits can approximate a given single-qubit unitary with an expected number of $T$ gates of about $1/3$ of what is required by optimal, deterministic, ancilla-free decompositions…

量子物理 · 物理学 2015-06-11 Alex Bocharov , Martin Roetteler , Krysta M. Svore

The Clifford hierarchy is a nested sequence of sets of quantum gates that can be fault-tolerantly performed using gate teleportation within standard quantum error correction schemes. The groups of Pauli and Clifford gates constitute the…

量子物理 · 物理学 2025-01-15 Nadish de Silva , Oscar Lautsch

An innovative strategy to enhance the security of symmetric substitution ciphers is presented, through the implementation of a randomized key matrix suitable for various file formats, including but not limited to binary and text files.…

密码学与安全 · 计算机科学 2023-12-01 Shubham Gandhi , Om Khare , Mihika Dravid , Mihika Sanghvi , Sunil Mane , Aadesh Gajaralwar , Saloni Gandhi

A random access code (RAC) is a communication task in which the sender encodes a random message into a shorter one to be decoded by the receiver so that a randomly chosen character of the original message is recovered with some probability.…

量子物理 · 物理学 2023-10-23 Gabriel Pereira Alves , Nicolas Gigena , Jędrzej Kaniewski

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

In quantum computation the target fidelity of the qubit gates is very high, with the admissible error being in the range from $10^{-3}$ to $10^{-4}$ and even less, depending on the protocol. The direct experimental determination of such an…

量子物理 · 物理学 2019-07-22 Nikolay V. Vitanov