论文标题
振幅阻尼通道歧视的边界
Bounds on amplitude damping channel discrimination
论文作者
论文摘要
振幅阻尼（AD）渠道是许多物理场景的好模型，因此开发协议以区分它们是量子信息科学中的重要任务。因此，重要的是要绑定此类协议的性能。由于已显示适应性可以提高歧视协议的性能，因此必须考虑到AD通道的区分性界限。在本文中，我们同时使用基于钻石规范的通道模拟和一个绑定，以显着拧紧作用在AD通道上的二进制通道歧视协议的可能输出之间的痕量标准（因此，在此类协议的误差概率上）。在分析中发现任意两个AD通道之间的钻石规范，从而为单次歧视协议提供了最佳误差概率。我们还对协议输出之间的可实现的痕量标准（以及可实现的误差概率上的相应上限）提出了更严格的下限。将上限和下边界与现有边界进行比较，然后应用于量子黑客式和生物量子传感方案。
Amplitude damping (AD) channels are good models for many physical scenarios, and so the development of protocols to discriminate between them is an important task in quantum information science. It is therefore important to bound the performance of such protocols. Since adaptivity has been shown to improve the performance of discrimination protocols, bounds on the distinguishability of AD channels must take this into account. In this paper, we use both channel simulation and a bound based on the diamond norm to significantly tighten the upper bound on the trace norm between the possible outputs of binary channel discrimination protocols acting on AD channels (and hence the lower bound on the error probability of such protocols). The diamond norm between any two AD channels is found analytically, giving the optimal error probability for a one-shot discrimination protocol. We also present a tighter lower bound on the achievable trace norm between protocol outputs (and a corresponding upper bound on the achievable error probability). The upper and lower bounds are compared with existing bounds and then applied to quantum hacking and biological quantum sensing scenarios.
