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首页> 外文期刊>Information Theory, IEEE Transactions on >Multiparty Zero-Error Classical Channel Coding With Entanglement
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Multiparty Zero-Error Classical Channel Coding With Entanglement

机译：纠缠的多方零错误经典通道编码

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摘要

We study the effects of quantum entanglement on the performance of two classical zero-error communication tasks among multiple parties. Both tasks are generalizations of the two-party zero-error channel-coding problem, where a sender and a receiver want to perfectly communicate messages through a one-way classical noisy channel. If the two parties are allowed to share entanglement, there are several positive results that show the existence of channels for which they can communicate strictly more than what they could do with classical resources. In the first task, one sender wants to communicate a common message to multiple receivers. We show that if the number of receivers is greater than a certain threshold then entanglement does not allow for an improvement in the communication for any finite number of uses of the channel. On the other hand, when the number of receivers is fixed, we exhibit a class of channels for which entanglement gives an advantage. The second problem we consider features multiple collaborating senders and one receiver. Classically, cooperation among the senders might allow them to communicate on average more messages than the sum of their individual possibilities. We show that whenever a channel allows single-sender entanglement-assisted advantage, then the gain extends also to the multisender case. Furthermore, we show that entanglement allows for a peculiar amplification of information which cannot happen classically, for a fixed number of uses of the channels.
机译：我们研究了量子纠缠对多方之间两个经典零错误通信任务性能的影响。两项任务都是两方零错误通道编码问题的概括，其中发送方和接收方都希望通过单向经典噪声通道完美地传递消息。如果允许双方共享纠缠，那么有几个积极的结果表明存在渠道，他们可以比传统资源更严格地进行沟通。在第一个任务中，一个发送者想将一个公共消息传递给多个接收者。我们表明，如果接收器的数量大于某个阈值，那么对于任何有限数量的信道使用，纠缠都不会改善通信。另一方面，当接收器的数量固定时，我们展示出一类纠缠的通道。我们考虑的第二个问题是多个协作发送者和一个接收者。传统上，发件人之间的合作可能使他们平均交流的消息多于其个别可能性的总和。我们证明，只要通道允许单发者纠缠辅助的优势，那么收益也会扩展到多发者的情况。此外，我们表明，对于固定数量的通道使用，纠缠可以实现经典情况下无法发生的特殊信息放大。

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