Asymptotically Optimal Discrimination between Pure Quantum States
Asymptotically Optimal Discrimination between Pure Quantum States
复制标题
纯量子态之间的渐近最优判别
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
A. Szkola
中科院分区：
文献类型：
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作者：
M. Nussbaum;A. Szkola
我们考虑一个有限量子系统的有限个状态之间的决策问题，当系统有任意数量的副本可供测量时。我们给出了拒绝真实状态的平均概率的指数衰减率的上界。它表示有限态集的广义量子切尔诺夫距离。作为我们的主要结果，我们证明了在纯态的情况下界是尖锐的。
We consider the decision problem between a finite number of states of a finite quantum system, when an arbitrarily large number of copies of the system is available for measurements. We provide an upper bound on the exponential rate of decay of the averaged probability of rejecting the true state. It represents a generalized quantum Chernoff distance of a finite set of states. As our main result we prove that the bound is sharp in the case of pure states.