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Quantum machine learning applies principles such as superposition and entanglement to data processing and optimization. Variational quantum models operate on qubits in high-dimensional Hilbert spaces and provide an alternative approach to…

Machine Learning · Computer Science 2026-03-02 Miras Seilkhan , Adilbek Taizhanov

Quantum computation with $d$-level quantum systems, also known as qudits, benefits from the possibility to use a richer computational space compared to qubits. However, for an arbitrary qudit-based hardware platform, the issue is that a…

Solving differential equations is one of the most promising applications of quantum computing. Recently we proposed an efficient quantum algorithm for solving one-dimensional Poisson equation avoiding the need to perform quantum arithmetic…

Current noisy intermediate-scale quantum devices suffer from various sources of intrinsic quantum noise. Overcoming the effects of noise is a major challenge, for which different error mitigation and error correction techniques have been…

Processing quantum information using quantum three-level systems or qutrits as the fundamental unit is an alternative to contemporary qubit-based architectures with the potential to provide significant computational advantages. We…

Quantum Physics · Physics 2022-11-15 Tanay Roy , Ziqian Li , Eliot Kapit , David I. Schuster

As quantum computers scale, single-chip architectures face inherent limitations in qubit count. It drives the need for modular quantum computing and Quantum Data Centers (QDCs), where multiple quantum processor units (QPUs) are…

Quantum Physics · Physics 2026-05-15 Seyed Navid Elyasi , Paolo Monti , Jun Li , Rui Lin

Quantum computers have the potential to solve some important industrial and scientific problems with greater efficiency than classical computers. While most current realizations focus on two-level qubits, the underlying physics used in most…

Quantum Physics · Physics 2023-01-06 Kevin Mato , Martin Ringbauer , Stefan Hillmich , Robert Wille

We extensively test a recent protocol to demonstrate quantum fault tolerance on three systems: (1) a real-time simulation of five spin qubits coupled to an environment with two-level defects, (2) a real-time simulation of transmon quantum…

Quantum Physics · Physics 2018-11-29 D. Willsch , M. Willsch , F. Jin , H. De Raedt , K. Michielsen

Gate-based quantum computation has been extensively investigated using quantum circuits based on qubits. In many cases, such qubits are actually made out of multilevel systems but with only two states being used for computational purpose.…

High-quality two-qubit gate operations are crucial for scalable quantum information processing. Often, the gate fidelity is compromised when the system becomes more integrated. Therefore, a low-error-rate, easy-to-scale two-qubit gate…

Quantum Physics · Physics 2020-12-24 Yuan Xu , Ji Chu , Jiahao Yuan , Jiawei Qiu , Yuxuan Zhou , Libo Zhang , Xinsheng Tan , Yang Yu , Song Liu , Jian Li , Fei Yan , Dapeng Yu

Continuous quantum error correction has been found to have certain advantages over discrete quantum error correction, such as a reduction in hardware resources and the elimination of error mechanisms introduced by having entangling gates…

Recently we find several candidates of quantum algorithms that may be implementable in near-term devices for estimating the amplitude of a given quantum state, which is a core sub- routine in various computing tasks such as the Monte Carlo…

Quantum Physics · Physics 2021-10-12 Tomoki Tanaka , Yohichi Suzuki , Shumpei Uno , Rudy Raymond , Tamiya Onodera , Naoki Yamamoto

We estimate and analyze the error rates and the resource overheads of the repetition cat qubit approach to universal and fault-tolerant quantum computation. The cat qubits stabilized by two-photon dissipation exhibit an extremely biased…

Quantum Physics · Physics 2021-04-21 Jérémie Guillaud , Mazyar Mirrahimi

Variational algorithm using Quantum Approximate Optimization Algorithm (QAOA) can solve the prime factorization problem in near-term noisy quantum computers. Conventional Variational Quantum Factoring (VQF) requires a large number of…

Emerging Technologies · Computer Science 2020-04-28 Ling Qiu , Mahabubul Alam , Abdullah Ash-Saki , Swaroop Ghosh

Simulating noisy quantum circuits is vital in designing and verifying quantum algorithms in the current NISQ (Noisy Intermediate-Scale Quantum) era, where quantum noise is unavoidable. However, it is much more inefficient than the classical…

Quantum Physics · Physics 2023-11-27 Mingyu Huang , Ji Guan , Wang Fang , Mingsheng Ying

Since simulating quantum computers requires exponentially more classical resources, efficient algorithms are extremely helpful. We analyze algorithms that create single qubit and specific controlled qubit matrix representations of gates.…

Quantum Physics · Physics 2007-05-23 Eric Hsu

Quantum computers are anticipated to transcend classical supercomputers for computationally intensive tasks by exploiting the principles of quantum mechanics. However, the capabilities of the current generation of quantum devices are…

Quantum Physics · Physics 2022-06-17 Shaobo Zhang , Charles D. Hill , Muhammad Usman

Simulations of quantum dynamics are a key application of near term quantum computing, but are hindered by the twin challenges of noise and small device scale, which limit the executable circuit depths and the number of qubits the algorithm…

Quantum Physics · Physics 2025-02-07 Vladyslav Bohun , Maxence Grandadam , Maciej Koch-Janusz

Near term quantum computers suffer from the presence of different noise sources. In order to mitigate for this effect and acquire results with significantly better accuracy, there is the urge of designing efficient error correction or error…

Quantum error correction with erasure qubits promises significant advantages over standard error correction due to favorable thresholds for erasure errors. To realize this advantage in practice requires a qubit for which nearly all errors…

Quantum Physics · Physics 2024-03-21 Harry Levine , Arbel Haim , Jimmy S. C. Hung , Nasser Alidoust , Mahmoud Kalaee , Laura DeLorenzo , E. Alex Wollack , Patricio Arrangoiz-Arriola , Amirhossein Khalajhedayati , Rohan Sanil , Hesam Moradinejad , Yotam Vaknin , Aleksander Kubica , David Hover , Shahriar Aghaeimeibodi , Joshua Ari Alcid , Christopher Baek , James Barnett , Kaustubh Bawdekar , Przemyslaw Bienias , Hugh Carson , Cliff Chen , Li Chen , Harut Chinkezian , Eric M. Chisholm , Andrew Clifford , R. Cosmic , Nicole Crisosto , Alexander M. Dalzell , Erik Davis , J. Mitch D'Ewart , Sandra Diez , Nathan D'Souza , Philipp T. Dumitrescu , Essam Elkhouly , Michael Fang , Yawen Fang , Steven T. Flammia , Matthew J. Fling , Gabriel Garcia , M. Kabeer Gharzai , Alexey V. Gorshkov , Mason J. Gray , Sebastian Grimberg , Arne L. Grimsmo , Connor T. Hann , Yuan He , Steven Heidel , Sean Howell , Matthew Hunt , Joseph K. Iverson , Ignace Jarrige , Liang Jiang , William M. Jones , Rassul Karabalin , Peter J. Karalekas , Andrew J. Keller , Davide Lasi , Menyoung Lee , Victor Ly , Gregory S. MacCabe , Neha Mahuli , Guillaume Marcaud , Matthew H. Matheny , Sam McArdle , Gavin McCabe , Gabe Merton , Cody Miles , Ashley Milsted , Anurag Mishra , Lorenzo Moncelsi , Mahdi Naghiloo , Kyungjoo Noh , Eric Oblepias , Gerson Ortuno , John Clai Owens , Jason Pagdilao , Ashley Panduro , J. -P. Paquette , Rishi N. Patel , Gregory A. Peairs , David J. Perello , Eric C. Peterson , Sophia Ponte , Harald Putterman , Gil Refael , Philip Reinhold , Rachel Resnick , Omar A. Reyna , Roberto Rodriguez , Jefferson Rose , Alex H. Rubin , Marc Runyan , Colm A. Ryan , Abdulrahman Sahmoud , Thomas Scaffidi , Bhavik Shah , Salome Siavoshi , Prasahnt Sivarajah , Trenton Skogland , Chun-Ju Su , Loren J. Swenson , Jared Sylvia , Stephanie M. Teo , Astrid Tomada , Giacomo Torlai , Mark Wistrom , Kailing Zhang , Ido Zuk , Aashish A. Clerk , Fernando G. S. L. Brandão , Alex Retzker , Oskar Painter