Quantum network coding and the current status of its studies
Quantum network coding and the current status of its studies
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发表时间：
2014-12
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通讯作者：
H. Nishimura
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作者：
H. Nishimura
考虑到世纪以来对网络编码和量子信息理论的广泛研究，量子网络编码的研究开始只是时间问题。在某种意义上，询问网络上通信的量子比特数量是否可以通过允许在网络上的中间节点进行编码来减少是相当重要的，因为量子通信原则上比经典通信昂贵得多。Hayashi等人在2006年的第一个结果基本上对这个问题是否定的-量子网络编码对于减少蝴蝶网络上发送的量子比特量没有任何好处。然而，这仅仅是探索量子网络编码理论的第一步。在他们的工作之后，已经表明可以通过几次设置的改变来减少通信量子比特的数量，例如通过允许额外的经典通信，同时还有进一步的负面结果。在本文中，我们回顾了量子网络编码的基本概念，并报告了目前已知的积极和消极的结果，量子网络编码在各种设置。
Considering extensive studies on network coding and quantum information theory in this century, it was just a matter of time that the study of quantum network coding was initiated. In some sense, it is rather important to ask if the amount of quantum bits communicated on a network can be reduced by allowing encoding at intermediate nodes on the network since quantum communication is much more expensive than classical communication in principle. The first result by Hayashi et al. in 2006 was basically negative for this question - quantum network coding does not give any benefit for reducing the amount of qubits sent on the butterfly network. However, this was just the first step to explore the theory of quantum network coding. After their work, it has been shown that the amount of communicated qubits can be reduced in several changes of the settings such as by allowing extra classical communication, while there has been further negative results. In this paper, we review the basic concept of quantum network coding, and report the currently known positive and negative results on quantum network coding in various settings.