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We prove that a quantum circuit together with measurement apparatuses and EPR sources can be fully verified without any reference to some other trusted set of quantum devices. Our main assumption is that the physical system we are working…

量子物理 · 物理学 2007-05-23 Frederic Magniez , Dominic Mayers , Michele Mosca , Harold Ollivier

Quantum computing has proven to be capable of accelerating many algorithms by performing tasks that classical computers cannot. Currently, Noisy Intermediate Scale Quantum (NISQ) machines struggle from scalability and noise issues to render…

新兴技术 · 计算机科学 2023-09-20 Chao Lu , Navnil Choudhury , Utsav Banerjee , Abdullah Ash Saki , Kanad Basu

Quantum computing devices are inevitably subject to errors. To leverage quantum technologies for computational benefits in practical applications, quantum algorithms and protocols must be implemented reliably under noise and imperfections.…

量子物理 · 物理学 2022-07-18 Jihye Kim , Byungdu Oh , Yonuk Chong , Euyheon Hwang , Daniel K. Park

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…

One of the simplest security proofs of quantum key distribution is based on the so-called complementarity scenario, which involves the complementarity control of an actual protocol and a virtual protocol [M. Koashi, e-print arXiv:0704.3661…

量子物理 · 物理学 2015-05-18 Kiyoshi Tamaki , Go Kato

We discuss how the presence of gauge sub-systems in the Bacon-Shor code [D. Bacon, Phys. Rev. A 73, 012340 (2006)] leads to remarkably simple and efficient methods for fault-tolerant error correction (FTEC). Most notably, FTEC does not…

量子物理 · 物理学 2007-06-13 Panos Aliferis , Andrew W. Cross

We present a nonintrusive method for reliably estimating the noise level during quantum computation and quantum communication protected by quantum error-correcting codes. As preprocessing of quantum error correction, our scheme estimates…

量子物理 · 物理学 2014-05-27 Yuichiro Fujiwara

An experimental cryptographic proof of quantumness will be a vital milestone in the progress of quantum information science. Error tolerance is a persistent challenge for implementing such tests: we need a test that not only can be passed…

量子物理 · 物理学 2026-03-06 Carl A. Miller

Construction of a fault-tolerant quantum computer remains a challenging problem due to unavoidable noise in quantum states and the fragility of quantum entanglement. However, most of the error-correcting codes increases the complexity of…

量子物理 · 物理学 2022-10-28 Kumar Nilesh , Piyush Joshi , Prasanta Panigrahi

Most of the research done on quantum error correction studies an error model in which each qubit is affected by noise, independently of the other qubits. In this paper we study a different noise model -- one in which the noise may be…

量子物理 · 物理学 2009-09-09 Avraham Ben-Aroya , Amnon Ta-Shma

As quantum computing hardware steadily increases in qubit count and quality, one important question is how to allocate these resources to mitigate the effects of hardware noise. In a transitional era between noisy small-scale and fully…

The precision and sensitivity achievable in quantum metrology are often compromised by the presence of noise. While quantum error correction has emerged as a promising strategy, it is ineffective in addressing noise that is…

量子物理 · 物理学 2026-05-25 Xiaodie Lin , Linxuan Li , Haidong Yuan

Can robustness against experimental imperfections and noise be embedded into a quantum simulation? In this paper, we report on a special case in which this is possible. A spin chain can be engineered such that, in the absence of…

量子物理 · 物理学 2016-04-15 Alastair Kay

A formalism for quantum error correction based on operator algebras was introduced in [1] via consideration of the Heisenberg picture for quantum dynamics. The resulting theory allows for the correction of hybrid quantum-classical…

量子物理 · 物理学 2009-11-13 Cedric Beny , Achim Kempf , David W. Kribs

The task of testing whether two uncharacterized quantum devices behave in the same way is crucial for benchmarking near-term quantum computers and quantum simulators, but has so far remained open for continuous-variable quantum systems. In…

量子物理 · 物理学 2023-05-29 Ya-Dong Wu , Yan Zhu , Ge Bai , Yuexuan Wang , Giulio Chiribella

Noise mechanisms in quantum systems can be broadly characterized as either coherent (i.e., unitary) or incoherent. For a given fixed average error rate, coherent noise mechanisms will generally lead to a larger worst-case error than…

量子物理 · 物理学 2019-01-29 Joel J. Wallman , Christopher Granade , Robin Harper , Steven T. Flammia

We investigate an efficient quantum error correction of a fully correlated noise. Suppose the noise is characterized by a quantum channel whose error operators take fully correlated forms given by $\sigma_x^{\otimes n}$, $\sigma_y^{\otimes…

量子物理 · 物理学 2011-08-23 Chi-Kwong Li , Mikio Nakahara , Yiu-Tung Poon , Nung-Sing Sze , Hiroyuki Tomita

Quantum error correcting (QEC) stabilizer codes enable protection of quantum information against errors during storage and processing. Simulation of noisy QEC codes is used to identify the noise parameters necessary for advantageous…

量子物理 · 物理学 2025-03-17 Sascha Heußen , Don Winter , Manuel Rispler , Markus Müller

In the Quantum Supremacy regime, quantum computers may overcome classical machines on several tasks if we can estimate, mitigate, or correct unavoidable hardware noise. Estimating the error requires classical simulations, which become…

量子物理 · 物理学 2025-04-10 Nicolo Colombo

Designing quantum processors is a complex task that demands advanced verification methods to ensure their correct functionality. However, traditional methods of comprehensively verifying quantum devices, such as quantum process tomography,…

量子物理 · 物理学 2025-08-04 Keren Li , Peng Yan , Hanru Jiang , Nengkun Yu