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arXiv quant-ph/0702059quant-ph
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具有记忆的自旋链和通道

Spin chains and channels with memory

M. B. Plenio, S. Virmani

摘要:

在大多数对量子信道信道容量的研究中,都假设每次使用信道时的误差是独立的。然而,最近的工作已经开始研究记忆或相关性在错误中的影响。这项工作引发了人们的猜测,即有趣的非分析行为可能会发生在能力。出于这些观察,我们连接相关误差下的通道容量的研究,在多体物理学的临界行为的研究。这种联系使我们能够利用多体物理学的技术完全解决或定性地理解一些有趣的相关误差模型。这些模型可以显示与相关多体系统类似的行为,包括“相变”。

英文摘要:

In most studies of the channel capacity of quantum channels, it is assumed that the errors in each use of the channel are independent. However, recent work has begun to investigate the effects of memory or correlations in the error. This work has led to speculation that interesting non-analytic behaviour may occur in the capacity. Motivated by these observations, we connect the study of channel capacities under correlated error to the study of critical behaviour in many-body physics. This connection enables us the techniques of many-body physics to either completely solve or understand qualitatively a number of interesting models of correlated error. The models can display analogous behaviour to associated many-body systems, including `phase transitions'.

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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