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Using a numerical simulation of the evolution of a qubit interacting with the environment we show that quantum error detection and correction can work effectively even when the recovery procedure introduces errors.

量子物理 · 物理学 2007-05-23 Pedro J. Salas , Angel L. Sanz

We have proved new estimates for the coherent control errors of quantum circuits used in quantum computing. These estimates essentially take into account the commutator properties of the Hamiltonians and are based on the formulas of the…

量子物理 · 物理学 2023-10-12 Vladyslav Bivziuk , Vitalii Slynko

Recently Quantum Computation has generated a lot of interest due to the discovery of a quantum algorithm which can factor large numbers in polynomial time. The usefulness of a quantum com puter is limited by the effect of errors. Simulation…

量子物理 · 物理学 2007-05-23 Kevin M. Obenland , Alvin M. Despain

We analyze and study the effects of locality on the fault-tolerance threshold for quantum computation. We analytically estimate how the threshold will depend on a scale parameter r which estimates the scale-up in the size of the circuit due…

量子物理 · 物理学 2007-05-23 Krysta M. Svore , Barbara M. Terhal , David P. DiVincenzo

We investigate the effects of error correction on non-local quantum coherence as a function of time, extending the study by Sainz and Bj\"ork. We consider error correction of amplitude damping, pure phase damping and combinations of…

量子物理 · 物理学 2013-09-12 Muhammed Yönaç , J. H. Eberly

Even in the absence of external influences the operability of a quantum computer (QC) is not guaranteed because of the effects of residual one- and two-body imperfections. Here we investigate how these internal flaws affect the performance…

量子物理 · 物理学 2009-11-13 Murat Cetinbas , Joshua Wilkie

This paper provides necessary and sufficient conditions for constructing a universal quantum computer over continuous variables. As an example, it is shown how a universal quantum computer for the amplitudes of the electromagnetic field…

量子物理 · 物理学 2009-10-31 Seth Lloyd , Samuel L. Braunstein

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

Physical qubits in experimental quantum information processors are inevitably exposed to different sources of noise and imperfections, which lead to errors that typically accumulate hindering our ability to perform long computations…

Reducing errors in quantum gates is critical to the development of quantum computers. To do so, any distortions in the control signals should be identified, however, conventional tools are not always applicable when part of the system is…

量子物理 · 物理学 2024-08-23 M. F. Gely , J. M. Litarowicz , A. D. Leu , D. M. Lucas

In quantum computing, characterizing the full noise profile of qubits can aid in increasing coherence times and fidelities by developing error-mitigating techniques specific to the noise present. This characterization also supports efforts…

We discuss stabilizer quantum-error correction codes implemented in a single multi-level qudit to avoid resource escalation typical of multi-qubit codes. These codes can be customized to the specific physical errors on the qudit,…

量子物理 · 物理学 2024-10-16 Matteo Mezzadri , Alessandro Chiesa , Luca Lepori , Stefano Carretta

Quantum measurements with feed-forward are crucial components of fault-tolerant quantum computers. We show how the error rate of such a measurement can be directly estimated by fitting the probability that successive randomly compiled…

量子物理 · 物理学 2025-02-04 Darian McLaren , Matthew A. Graydon , Ali Assem Mahmoud , Joel J. Wallman

The inevitable existence of static internal imperfections and residual interactions in some quantum computer architectures result in internal decoherence, dissipation, and destructive unitary shifts of active algorithms. By exact numerical…

量子物理 · 物理学 2009-11-13 Murat Cetinbas , Joshua Wilkie

We analyze the stability of a quantum algorithm simulating the quantum dynamics of a system with different regimes, ranging from global chaos to integrability. We compare, in these different regimes, the behavior of the fidelity of quantum…

量子物理 · 物理学 2007-05-23 Davide Rossini , Giuliano Benenti , Giulio Casati

Quantum metrology based on quantum entanglement and quantum coherence improves the accuracy of measurement. In this paper, we briefly review the schemes of quantum metrology in various complex systems, including non-Markovian noise,…

量子物理 · 物理学 2024-01-18 Qing Ai , Yang-Yang Wang , Jing Qiu

We apply quantum error mitigation techniques to a variety of benchmark problems and quantum computers to evaluate the performance of quantum error mitigation in practice. To do so, we define an empirically motivated, resource-normalized…

量子物理 · 物理学 2023-08-21 Vincent Russo , Andrea Mari , Nathan Shammah , Ryan LaRose , William J. Zeng

In order to realize fault-tolerant quantum computation, tight evaluation of error threshold under practical noise models is essential. While non-Clifford noise is ubiquitous in experiments, the error threshold under non-Clifford noise…

量子物理 · 物理学 2017-11-15 Yasunari Suzuki , Keisuke Fujii , Masato Koashi

We address the timing problem in realizing correcting codes for quantum information processing. To deal with temporal uncertainties we employ a consistent quantum mechanical approach. The conditions for optimizing the effect of error…

量子物理 · 物理学 2009-11-07 Stefano Mancini , Rodolfo Bonifacio

Estimates of the quantum accuracy threshold often tacitly assume that it is possible to interact arbitrary pairs of qubits in a quantum computer with a failure rate that is independent of the distance between them. None of the many physical…

量子物理 · 物理学 2013-05-29 A. M. Stephens , Z. W. E. Evans
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