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We present a modular error mitigation protocol for running $\mathsf{BQP}$ computations on a quantum computer with time-dependent noise. Utilising existing tools from quantum verification and measurement-based quantum computation, our…

Quantum Physics · Physics 2025-02-06 Joseph Harris , Elham Kashefi

Two schemes are presented that mitigate the effect of errors and decoherence in short depth quantum circuits. The size of the circuits for which these techniques can be applied is limited by the rate at which the errors in the computation…

Quantum Physics · Physics 2017-11-08 Kristan Temme , Sergey Bravyi , Jay M. Gambetta

Quantum systems are inherently open and susceptible to environmental noise, which can have both detrimental and beneficial effects on their dynamics. This phenomenon has been observed in bio-molecular systems, where noise enables novel…

Despite significant progress in quantum computing in recent years, executing quantum circuits for practical problems remains challenging due to error-prone quantum hardware. Hence, quantum error correction becomes essential but induces…

Quantum Physics · Physics 2025-09-04 Tobias Forster , Nils Quetschlich , Mathias Soeken , Robert Wille

It has recently been shown that there are efficient algorithms for quantum computers to solve certain problems, such as prime factorization, which are intractable to date on classical computers. The chances for practical implementation,…

Quantum Physics · Physics 2009-10-30 Adriano Barenco , Todd A. Brun , Ruediger Schack , Tim Spiller

Hamiltonian moments in Fourier space - expectation values of the unitary evolution operator under a Hamiltonian at different times - provide a convenient framework to understand quantum systems. They offer insights into the energy…

Quantum Physics · Physics 2025-02-11 Oriel Kiss , Michele Grossi , Alessandro Roggero

We review the prospects to build quantum processors based on superconducting transmons and radiofrequency cavities for testing applications in the NISQ era. We identify engineering opportunities and challenges for implementation of…

Quantum Physics · Physics 2025-06-09 Davide Venturelli , Erik Gustafson , Doga Kurkcuoglu , Silvia Zorzetti

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…

Quantum Physics · Physics 2024-02-07 Hugo Perrin , Thibault Scoquart , Alexander Shnirman , Jörg Schmalian , Kyrylo Snizhko

Currently available quantum computing hardware based on superconducting transmon architectures realizes networks of hundreds of qubits with the possibility of controlled nearest-neighbor interactions. However, the inherent noise and…

Quantum Physics · Physics 2023-11-07 Andreas Ketterer , Thomas Wellens

We show a significant reduction of the number of quantum operations and the improvement of the circuit depth for the realization of the Toffoli gate by using qudits. This is done by establishing a general relation between the dimensionality…

Quantum Physics · Physics 2020-02-12 E. O. Kiktenko , A. S. Nikolaeva , Peng Xu , G. V. Shlyapnikov , A. K. Fedorov

The effective use of current Noisy Intermediate-Scale Quantum (NISQ) devices is often limited by the noise which is caused by interaction with the environment and affects the fidelity of quantum gates. In transmon qubit systems, the quantum…

Quantum Physics · Physics 2022-09-05 Elisha Siddiqui Matekole , Yao-Lung L. Fang , Meifeng Lin

Historically, noise in superconducting circuits has been considered an obstacle to be removed. A large fraction of the research effort in designing superconducting circuits has focused on noise reduction, with great success, as coherence…

Quantum Physics · Physics 2017-08-09 Eliot Kapit

We present a method to improve the convergence of variational algorithms based on hidden inverses to mitigate coherent errors. In the context of error mitigation, this means replacing the on hardware implementation of certain Hermitian…

Quantum Physics · Physics 2022-04-27 Vicente Leyton-Ortega , Swarnadeep Majumder , Raphael C. Pooser

Noise in contemporary quantum hardware is highly non-uniform across qubits and couplers, giving rise to localized low-noise "islands" within otherwise noisy device topologies. As quantum workloads scale, executions are increasingly forced…

Quantum computers are becoming increasingly accessible, and may soon outperform classical computers for useful tasks. However, qubit readout errors remain a significant hurdle to running quantum algorithms on current devices. We present a…

Quantum Physics · Physics 2022-02-28 Alistair W. R. Smith , Kiran E. Khosla , Chris N. Self , M. S. Kim

Noise remains a fundamental challenge in quantum computing, significantly affecting pulse fidelity and overall circuit performance. This paper introduces an adaptive algorithm for pulse-level quantum error mitigation, designed to enhance…

Quantum Physics · Physics 2025-01-27 William Aguilar-Calvo , Santiago Núñez-Corrales

Quantum computation and communication are important branches of quantum information science. However, noise in realistic quantum devices fundamentally limits the utility of these quantum technologies. A conventional approach towards…

Quantum Physics · Physics 2021-03-18 Kyungjoo Noh

A significant problem for current quantum computers is noise. While there are many distinct noise channels, the depolarizing noise model often appropriately describes average noise for large circuits involving many qubits and gates. We…

Superconducting qubits with in-situ tunable properties are important for constructing a quantum computer. Qubit tunability, however, often comes at the expense of increased noise sensitivity. Here, we propose a flux-tunable superconducting…

Quantum Physics · Physics 2017-08-09 Eyob A. Sete , Matthew Reagor , Nicolas Didier , Chad T. Rigetti

We provide and experimentally demonstrate an accreditation protocol that upper-bounds the variation distance between noisy and noiseless probability distributions of the outputs of arbitrary quantum computations. We accredit the outputs of…

Quantum Physics · Physics 2021-10-13 Samuele Ferracin , Seth T. Merkel , David McKay , Animesh Datta