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Standard approaches to quantum error correction (QEC) require active maintenance using measurements and classical processing. Passive QEC, by contrast, has so far been established only in unphysical spatial dimensions. Here, we give an…

Quantum Physics · Physics 2026-05-22 Gesa Dünnweber , Georgios Styliaris , Rahul Trivedi

Scalable quantum computing and communication requires the protection of quantum information from the detrimental effects of decoherence and noise. Previous work tackling this problem has relied on the original circuit model for quantum…

Quantum Physics · Physics 2014-04-23 B. A. Bell , D. A. Herrera-Martí , M. S. Tame , D. Markham , W. J. Wadsworth , J. G. Rarity

We present a quantum error correction code which protects a qubit of information against general one qubit errors which maybe caused by the interaction with the environment. To accomplish this, we encode the original state by distributing…

Quantum Physics · Physics 2007-05-23 Raymond Laflamme , Cesar Miquel , Juan Pablo Paz , Wojciech Hubert Zurek

Quantum chemistry calculations for small molecules on quantum hardware have been demonstrated to date only on universal-gate quantum computers, not quantum annealers. The latter devices are limited to finding the lowest eigenstate of the…

Chemical Physics · Physics 2019-01-16 Scott N. Genin , Ilya G. Ryabinkin , Artur F. Izmaylov

The shift of interest from general purpose quantum computers to adiabatic quantum computing or quantum annealing calls for a broadly applicable and easy to implement test to assess how quantum or adiabatic is a specific hardware. Here we…

Quantum Physics · Physics 2018-03-28 Bartłomiej Gardas , Jacek Dziarmaga , Wojciech H. Zurek , M. Zwolak

Quantum computation promises significant computational advantages over classical computation for some problems. However, quantum hardware suffers from much higher error rates than in classical hardware. As a result, extensive quantum error…

Quantum annealing is a computational paradigm in which optimisation problems are mapped onto the energy landscape of an interacting quantum system and explored through its dynamical evolution. By continuously transforming a simple initial…

Quantum Physics · Physics 2026-05-11 Steven Abel , Andrei Constantin , Luca A. Nutricati

Quantum simulation with adiabatic annealing can provide insight into difficult problems that are impossible to study with classical computers. However, it deteriorates when the systems scale up due to the shrinkage of the excitation gap and…

Quantum annealing has emerged as a powerful platform for simulating and optimizing classical and quantum Ising models. Quantum annealers, like other quantum and/or analog computing devices, are susceptible to nonidealities including…

Quantum Physics · Physics 2024-10-15 Kevin Chern , Kelly Boothby , Jack Raymond , Pau Farré , Andrew D. King

It is commonly believed that logical states of quantum error-correcting codes have to be highly entangled such that codes capable of correcting more errors require more entanglement to encode a qubit. Here, we show that the validity of this…

Quantum Physics · Physics 2025-06-16 Sergey Bravyi , Dongjin Lee , Zhi Li , Beni Yoshida

Quantum simulation has emerged as a valuable arena for demonstrating and understanding the capabilities of near-term quantum computers. Quantum annealing has been used successfully in simulating a range of open quantum systems, both at…

Although quantum computing hardware has evolved significantly in recent years, spurred by increasing industrial and government interest, the size limitation of current generation quantum computers remains an obstacle when applying these…

Quantum Physics · Physics 2020-01-20 Gideon Bass , Max Henderson , Joshua Heath , Joseph Dulny

Quantum error correction codes (QECC) are a key component for realizing the potential of quantum computing. QECC, as its classical counterpart (ECC), enables the reduction of error rates, by distributing quantum logical information across…

Quantum Physics · Physics 2023-12-12 Yoni Choukroun , Lior Wolf

The recent availability of quantum annealers as cloud-based services has enabled new ways to handle machine learning problems, and several relevant algorithms have been adapted to run on these devices. In a recent work, linear regression…

Quantum Physics · Physics 2025-03-18 Costantino Carugno , Maurizio Ferrari Dacrema , Paolo Cremonesi

Executing quantum applications with quantum error correction (QEC) faces the gate non-universality problem imposed by the Eastin-Knill theorem. As one resource-time-efficient solution, code switching changes the encoding of logical qubits…

Quantum Physics · Physics 2023-10-17 Anbang Wu , Keyi Yin , Andrew W. Cross , Ang Li , Yufei Ding

Traditional simulated annealing utilizes thermal fluctuations for convergence in optimization problems. Quantum tunneling provides a different mechanism for moving between states, with the potential for reduced time scales. We compare…

Condensed Matter · Physics 2007-05-23 J. Brooke , D. Bitko , T. F. Rosenbaum , G. Aeppli

Quantum error correction is an important ingredient for scalable quantum computing. Stabilizer codes are one of the most promising and straightforward ways to correct quantum errors, are convenient for logical operations, and improve…

Quantum Physics · Physics 2025-02-07 Ilya. A. Simakov , Ilya. S. Besedin

Quantum annealing is a promising metaheuristic for solving constrained combinatorial optimization problems. However, parameter tuning difficulties and hardware noise often prevent optimal solutions from being properly encoded as the ground…

Quantum Physics · Physics 2026-02-11 Keita Takahashi , Shu Tanaka

Quantum computers use quantum resources to carry out computational tasks and may outperform classical computers in solving certain computational problems. Special-purpose quantum computers such as quantum annealers employ quantum adiabatic…

Other Statistics · Statistics 2021-01-19 Xinyu Song , Yazhen Wang , Shang Wu , Donggyu Kim

A major milestone of quantum error correction is to achieve the fault-tolerance threshold beyond which quantum computers can be made arbitrarily accurate. This requires extraordinary resources and engineering efforts. We show that even…

Quantum Physics · Physics 2021-06-16 Miroslav Urbanek , Benjamin Nachman , Wibe A. de Jong
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