论文标题
非反应不对称状态歧视的分析界限
Analytical bounds for non-asymptotic asymmetric state discrimination
论文作者
论文摘要
当区分量子状态对时，可能会发生两种类型的错误。不对称状态歧视涉及最大程度地减少一种类型的误差的可能性，但受到另一个错误的限制。我们使用痕量标准，保真度和量子Chernoff绑定来提供明确的表达式，以界定可实现的错误集。上界渐近地紧密，对于纯状态，下限是精确的。与渐近界限不同，我们的边界给出了误差值而不是指数，因此，当应用于有限拷贝状态歧视问题时，可以提供更精确的结果。
Two types of errors can occur when discriminating pairs of quantum states. Asymmetric state discrimination involves minimizing the probability of one type of error, subject to a constraint on the other. We give explicit expressions bounding the set of achievable errors, using the trace norm, the fidelity, and the quantum Chernoff bound. The upper bound is asymptotically tight and the lower bound is exact for pure states. Unlike asymptotic bounds, our bounds give error values instead of exponents, so can give more precise results when applied to finite-copy state discrimination problems.
