论文标题
量子仪器不兼容
Incompatibility of quantum instruments
论文作者
论文摘要
量子仪器描述了结果概率以及通过测量量子系统引起的状态变化。两种乐器不兼容，即。 e。不可能在给定的量子系统上同时实现它们，概括了通道的不相容性以及正面操作员价值衡量标准（POVM）的不兼容。我们得出了仪器兼容性对诱导的POVM和通道的影响。我们还研究了仪器兼容性与非扰动概念的关系。最后，我们证明了仪器兼容性和某些工具后处理之间的等效性，我们将其称为互补工具。我们在各种仪器的示例中说明了我们的发现。
Quantum instruments describe outcome probability as well as state change induced by measurement of a quantum system. Incompatibility of two instruments, i. e. the impossibility to realize them simultaneously on a given quantum system, generalizes incompatibility of channels and incompatibility of positive operator-valued measures (POVMs). We derive implications of instrument compatibility for the induced POVMs and channels. We also study relation of instrument compatibility to the concept of non-disturbance. Finally, we prove equivalence between instrument compatibility and postprocessing of certain instruments, which we term complementary instruments. We illustrate our findings on examples of various classes of instruments.
