Quantum rebound capacity
Quantum rebound capacity
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DOI：
10.1103/physreva.100.030302
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发表时间：
2019-09-09
影响因子：
2.9
通讯作者：
Wilde, Mark M.
中科院分区：
文献类型：
--
作者：
Das, Siddhartha;Wilde, Mark M.
受到信息论中抽象力量的启发，我们认为量子反弹协议提供了一种统一的视角来处理与香农理论体系有关的几个信息处理任务，并将量子通道区分扩展到香农理论体系。这些协议以最一般的量子物理方式定义，已经在量子阅读的Das-Wilde(DW)模型的物理背景下进行了考虑[arxiv：1703.03706]。在[arxiv：1901.05893]中，讨论了这种协议如何适用于从一方当事人到另一方当事人再往返的不同实际情况。所有量子反弹任务的共同点是，解码器自己可以访问随机选择的通道序列的输入和输出，目标是确定编码到通道序列中的消息。正如在量子阅读的DW模型中所采用的，解码器可以采用的最通用的量子物理策略是自适应策略，在该策略中，一般的量子操作在每次调用序列中的通道之前和之后执行。我们确定了各种情况下量子反弹容量的上下界，并讨论了在零错误量子反弹协议中，自适应方案比非自适应方案具有优势的情况。
Inspired by the power of abstraction in information theory, we consider quantum rebound protocols as a way of providing a unifying perspective to deal with several information-processing tasks related to and extending quantum channel discrimination to the Shannon-theoretic regime. Such protocols, defined in the most general quantum-physical way possible, have been considered in the physical context of the Das-Wilde (DW) model of quantum reading [arXiv:1703.03706]. In [arXiv:1901.05893], it was discussed how such protocols apply in the different physical context of round-trip communication from one party to another and back. The common point for all quantum rebound tasks is that the decoder himself has access to both the input and output of a randomly selected sequence of channels, and the goal is to determine a message encoded into the channel sequence. As employed in the DW model of quantum reading, the most general quantum-physical strategy that a decoder can employ is an adaptive strategy, in which general quantum operations are executed before and after each call to a channel in the sequence. We determine lower and upper bounds on the quantum rebound capacities in various scenarios of interest, and we also discuss cases in which adaptive schemes provide an advantage over nonadaptive schemes in zero-error quantum rebound protocols.