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Due to the technical difficulty of building large quantum computers, it is important to be able to estimate how faithful a given implementation is to an ideal quantum computer. The common approach of completely characterizing the…

量子物理 · 物理学 2012-08-20 Osama Moussa , Marcus P. da Silva , Colm A. Ryan , Raymond Laflamme

We study the use of entanglement purification for quantum communication over long distances. For distances much longer than the coherence length of a corresponding noisy quantum channel, the fidelity of transmission is usually so low that…

量子物理 · 物理学 2008-12-18 W. Dür , H. - J. Briegel , J. I. Cirac , P. Zoller

Controlling operational errors and decoherence is one of the major challenges facing the field of quantum computation and other attempts to create specified many-particle entangled states. The field of quantum error correction has developed…

量子物理 · 物理学 2007-05-23 Daniel Gottesman

The performance of quantum error correction can be significantly improved if detailed information about the noise is available, allowing to optimize both codes and decoders. It has been proposed to estimate error rates from the syndrome…

量子物理 · 物理学 2022-09-21 Thomas Wagner , Hermann Kampermann , Dagmar Bruß , Martin Kliesch

Accurately estimating high-order moments of quantum states is an elementary precondition for many crucial tasks in quantum computing, such as entanglement spectroscopy, entropy estimation, spectrum estimation, and predicting non-linear…

量子物理 · 物理学 2024-05-16 Benchi Zhao , Mingrui Jing , Lei Zhang , Xuanqiang Zhao , Yu-Ao CHen , Kun Wang , Xin Wang

Group twirling is crucial in quantum information processing, particularly in randomized benchmarking and random compiling. While protocols based on Pauli twirling have been effectively crafted to transform arbitrary noise channels into…

量子物理 · 物理学 2024-12-04 Guoding Liu , Ziyi Xie , Zitai Xu , Xiongfeng Ma

We calculate the fidelity with which an arbitrary state can be encoded into a [7,1,3] CSS quantum error correction code in a non-equiprobable Pauli operator error environment with the goal of determining whether this encoding can be used…

量子物理 · 物理学 2013-03-19 Sidney D. Buchbinder , Channing L. Huang , Yaakov S. Weinstein

A significant obstacle for practical quantum computation is the loss of physical qubits in quantum computers, a decoherence mechanism most notably in optical systems. Here we experimentally demonstrate, both in the quantum circuit model and…

量子物理 · 物理学 2016-05-16 Chao-Yang Lu , Wei-Bo Gao , Jin Zhang , Xiao-Qi Zhou , Tao Yang , Jian-Wei Pan

Quantum cryptography via key distribution mechanisms that utilize quantum entanglement between sender-receiver pairs will form the basis of future large-scale quantum networks. A key engineering challenge in such networks will be the…

信息论 · 计算机科学 2015-05-14 Yixuan Xie , Jun Li , Robert Malaney , Jinhong Yuan

In a recent paper ([1]=quant-ph/0606035) it is shown how the optimal recovery operation in an error correction scheme can be considered as a semidefinite program. As a possible future improvement it is noted that still better error…

量子物理 · 物理学 2007-05-23 M. Reimpell , R. F. Werner , K. Audenaert

We present a detailed study on the possibility of manipulating quantum information encoded in the "radial" modes of arrays of trapped ions (i.e., in the ions' oscillations orthogonal to the trap's main axis). In such systems, because of the…

量子物理 · 物理学 2010-07-05 A. Serafini , A. Retzker , M. B. Plenio

Scalable characterization of quantum processors is crucial for mitigating noise and imperfections. While randomized measurement protocols enable efficient access to local observables, inferring a globally consistent description of…

量子物理 · 物理学 2026-03-10 Zidu Liu , Dominik S. Wild

The stable operation of quantum computers will rely on error-correction, in which single quantum bits of information are stored redundantly in the Hilbert space of a larger system. Such encoded qubits are commonly based on arrays of many…

In this work, we consider the preservation of a measurement for quantum systems interacting with an environment. Namely, a method of preserving an optimal measurement over a channel is devised, what we call channel coding of a quantum…

量子物理 · 物理学 2019-08-29 Spiros Kechrimparis , Chahan M. Kropf , Filip Wudarski , Joonwoo Bae

We investigate a quantum coding for quantum communication over a PD (partially degradable) degradable quantum channel. For a PD channel, the degraded environment state can be expressed from the channel output state up to a degrading map. PD…

量子物理 · 物理学 2016-11-18 Laszlo Gyongyosi

We investigate effective noise channels for encoded quantum systems with and without active error correction. Noise acting on physical qubits forming a logical qubit is thereby described as a logical noise channel acting on the logical…

量子物理 · 物理学 2013-10-30 Frederik Kesting , Florian Fröwis , Wolfgang Dür

A quantum error correcting code protects encoded logical information against errors. Transversal gates are a naturally fault-tolerant way to manipulate logical qubits but cannot be universal themselves. Protocols such as magic state…

Quantum error correction protects the quantum state against noise and decoherence in quantum communication and quantum computation, which enables one to perform fault-torrent quantum information processing. We experimentally demonstrate a…

量子物理 · 物理学 2015-11-23 Shuhong Hao , Xiaolong Su , Caixing Tian , Changde Xie , Kunchi Peng

Classical computation relies heavily on information manipulation. Each component of a hardware needs to communicate with others, and this is done by encoding information into strings of bits and application of logical operations. When…

量子物理 · 物理学 2026-05-12 Eduardo K. Soares

Quantum error correction is necessary to perform large-scale quantum computations in the presence of noise and decoherence. As a result, several aspects of quantum error correction have already been explored. These have been primarily…

量子物理 · 物理学 2021-08-05 Ariel Shlosberg , Anthony M. Polloreno , Graeme Smith