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arXiv 1306.1738quant-ph
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编码量子系统的有效噪声信道

Effective noise channels for encoded quantum systems

Frederik Kesting, Florian Fröwis, Wolfgang Dür

摘要:

我们调查有效的噪声信道的编码量子系统和没有主动纠错。作用于形成逻辑量子比特的物理量子比特上的噪声由此被描述为作用于逻辑量子比特上的逻辑噪声信道,这导致有效系统维度的显著减小。这为我们研究编码量子系统的纠缠特性提供了有力的工具。我们证明了这个框架,通过计算下界的可压缩纠缠的寿命和负的编码多体量子比特态与不同的编码。与此同时,这种方法导致一个简单的理解(级联)纠错码的功能。

英文摘要:

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 qubits, which leads to a significant decrease of the effective system dimension. This provides us with a powerful tool to study entanglement features of encoded quantum systems. We demonstrate this framework by calculating lower bounds on the lifetime of distillable entanglement and the negativity for encoded multipartite qubit states with different encodings. At the same time, this approach leads to a simple understanding of the functioning of (concatenated) error correction codes.

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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