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arXiv 0911.5300quant-phcs.ITmath.IT
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利用纠缠改进零差错经典通信

Improving zero-error classical communication with entanglement

Toby S. Cubitt, Debbie Leung, William Matthews, Andreas Winter

摘要:

给定经典信道的一次或多次使用,只有一定数量的消息可以以零错误概率传输。对这个数及其渐近行为的研究构成了经典零误差信息论的领域,其量子推广最近已经开始发展。我们表明,给定一个单一的使用某些经典的通道,纠缠状态的发送者和接收者共享的系统可以用来增加(经典)的消息,可以发送没有错误的机会的数量。特别是,我们将展示如何构建这样一个通道的基础上的任何贝尔-Kochen-Specker定理的证明。这是一个利用量子效应来提高经典任务性能的新例子。我们调查这种现象和“伪心灵感应”游戏之间的联系。使用广义非信号相关性,以协助这项任务也被认为是。在这种情况下,一个特别优雅的理论的结果,值得注意的是,它有时是可能的传输信息与零错误使用的信道没有辅助零错误的能力。

英文摘要:

Given one or more uses of a classical channel, only a certain number of messages can be transmitted with zero probability of error. The study of this number and its asymptotic behaviour constitutes the field of classical zero-error information theory, the quantum generalisation of which has started to develop recently. We show that, given a single use of certain classical channels, entangled states of a system shared by the sender and receiver can be used to increase the number of (classical) messages which can be sent with no chance of error. In particular, we show how to construct such a channel based on any proof of the Bell-Kochen-Specker theorem. This is a new example of the use of quantum effects to improve the performance of a classical task. We investigate the connection between this phenomenon and that of ``pseudo-telepathy'' games. The use of generalised non-signalling correlations to assist in this task is also considered. In this case, a particularly elegant theory results and, remarkably, it is sometimes possible to transmit information with zero-error using a channel with no unassisted zero-error capacity.

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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