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首页> 外文期刊>IEEE Transactions on Information Theory >Quantum Data Hiding in the Presence of Noise
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Quantum Data Hiding in the Presence of Noise

机译：隐藏在噪声中的量子数据

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摘要

When classical or quantum information is broadcast to separate receivers, there exist codes that encrypt the encoded data, such that the receivers cannot recover it when performing local operations and classical communication, but they can reliably decode if they bring their systems together and perform a collective measurement. This phenomenon is known as quantum data hiding and hitherto has been studied under the assumption that noise does not affect the encoded systems. With the aim of applying the quantum data hiding effect in practical scenarios, here, we define the data-hiding capacity for hiding classical information using a quantum channel. Using this notion, we establish a regularized upper bound on the data hiding capacity of any quantum broadcast channel, and we prove that coherent-state encodings have a strong limitation on their data hiding rates. We, then, prove a lower bound on the data hiding capacity of channels that map the maximally mixed state to the maximally mixed state (we call these channels mictodiactic—they can be seen as a generalization of unital channels when the input and output spaces are not necessarily isomorphic) and argue how to extend this bound to generic channels and to more than two receivers.
机译：当将经典或量子信息广播到单独的接收器时，存在用于对编码数据进行加密的代码，以使接收器在执行本地操作和经典通信时无法恢复，但是如果将其系统整合在一起并进行集体处理，它们就可以可靠地解码测量。这种现象被称为量子数据隐藏，并且迄今为止已经在噪声不影响编码系统的假设下进行了研究。为了在实际场景中应用量子数据隐藏效果，在此，我们定义了使用量子通道隐藏经典信息的数据隐藏能力。使用这个概念，我们在任何量子广播信道的数据隐藏能力上建立了一个规则化的上限，并且证明了相干态编码对其数据隐藏率有很大的限制。然后，我们证明了将最大混合状态映射到最大混合状态的通道的数据隐藏能力的下限（我们称这些通道为微折线法，当输入和输出空间为零时，它们可以看作是单位通道的推广。不一定是同构的），并争论如何将其扩展到通用通道和两个以上的接收器。

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