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arXiv quant-ph/0410117quant-ph
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相空间中的量子比特：量子纠错和平均王问题的维格纳函数方法

Qubits in phase space: Wigner function approach to quantum error correction and the mean king problem

Juan Pablo Paz, Augusto Jose Roncaglia, Marcos Saraceno

备注：
18 pages, 16 figures; typos fixed, some minor corrections, figures of the circuits were changed
发表信息：
Phys. Rev. A 72, 012309 (2005)
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摘要：

我们分析并进一步发展了一种新的方法来表示一个系统的量子态的$n$量子位在相位空间网格的$N\times N$点（其中$N=2^n$）。最近由Wootters及其同事提出的方法（Gibbons { \it et al.}，quant-ph/0401155）基于使用有限域$GF(2^n)$的元素来标记相空间轴。我们提出了一个自包含的概述的方法，我们给出了新的见解，它的一些功能，我们应用它来调查量子信息理论感兴趣的问题：我们分析了稳定状态和量子纠错码的相空间表示，并提出了一个相空间解决方案，所谓的“平均王问题”。

英文摘要：

We analyze and further develop a new method to represent the quantum state of a system of $n$ qubits in a phase space grid of $N\times N$ points (where $N=2^n$). The method, which was recently proposed by Wootters and co--workers (Gibbons {\it et al.}, quant-ph/0401155), is based on the use of the elements of the finite field $GF(2^n)$ to label the phase space axes. We present a self--contained overview of the method, we give new insights on some of its features and we apply it to investigate problems which are of interest for quantum information theory: We analyze the phase space representation of stabilizer states and quantum error correction codes and present a phase space solution to the so--called ``mean king problem''.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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