Absolutely maximally entangled states, quantum-maximum-distance-separable codes, and quantum repeaters
Absolutely maximally entangled states, quantum-maximum-distance-separable codes, and quantum repeaters
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DOI：
10.1103/physreva.103.022402
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发表时间：
2019-07
影响因子：
2.9
通讯作者：
D. Alsina;M. Razavi
中科院分区：
文献类型：
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作者：
D. Alsina;M. Razavi
研究了绝对最大纠缠(AME)态与量子最大距离可分(QMDS)码之间的关系，由具有稳定子表示的AME态构造了QMDS码的整族。我们介绍了AME状态的稳定器表示的生成元集的一种一般的约简友好形式，由此可以得到子码的稳定器形式，所有的QMD。我们的方法将适用于相关的高维码以及基于量子比特的码。然后，通过最小化此类量子中继器的短期基础设施成本和长期运行成本，我们将其与单向量子中继器的最优码相关联。这将使我们能够获得可用于此类量子中继器的最佳QMDS代码，该代码源自AME母态。
We address the relation between absolutely maximally entangled (AME) states and quantum- maximum-distance-separable (QMDS) codes by constructing whole families of QMDS codes from AME states that have stabilizer representations. We introduce a generic reduction-friendly form for the generator set of the stabilizer representation of an AME state, from which the stabilizer form for children codes, all QMDS, can be obtained. Our method would work for relevant high-dimensional codes as well as qubit-based codes. We then relate this to optimal codes for one-way quantum repeaters, by minimizing the short-term infrastructure cost as well as the long-term running cost of such quantum repeaters. This would allow us to obtain the optimal QMDS code, derived from an AME parent state, that can be used in such quantum repeaters.