论文标题
在操作概率理论中歧视对称状态
Discrimination of symmetric states in operational probabilistic theory
论文作者
论文摘要
用图表术语研究了操作概率理论（OPT）中的国家歧视问题。众所周知，在量子理论的情况下，如果状态集具有一定的对称性，则存在具有相同类型的对称性类型的最低纠正量测量。但是，据我们所知，尚不清楚该属性是否也具有更一般的选择。我们表明，它还具有OPTS，即对于对称状态集，存在具有相同类型的对称性类型的最小值测量值。还表明，该结果可用于在限制的一类测量中进行优化，例如顺序测量或可分离测量。
A state discrimination problem in an operational probabilistic theory (OPT) is investigated in diagrammatic terms. It is well-known that, in the case of quantum theory, if a state set has a certain symmetry, then there exists a minimum-error measurement having the same type of symmetry. However, to our knowledge, it is not yet clear whether this property also holds in a more general OPT. We show that it also holds in OPTs, i.e., for a symmetric state set, there exists a minimum-error measurement that has the same type of symmetry. It is also shown that this result can be utilized to optimize over a restricted class of measurements, such as sequential or separable measurements.
