论文标题
物理环境的量子不相容性
Quantum Incompatibility of a Physical Context
论文作者
论文摘要
量子物理学中的关键，量子不相容的概念通常与形式主义的代数方面有关，例如换向关系和基础的无偏见。最近，该概念被确定为涉及量子状态歧视和量子可编程性的任务中的资源。在这里，我们将量子不相容性与可连续测量不承诺可观察物的信息相关的信息量，这是与通信任务相关的方案。这种方法使我们将不相容性描述为在物理环境中编码的资源，涉及量子状态和可观察到。此外，从上下文不兼容的度量开始，我们得出了一个易于计算的测量兼容性量化器，该量词可以计算，接受几何解释，并且仅当相关观察值的特征基础是相互无偏见的情况下，才是最大的。
Pivotal within quantum physics, the concept of quantum incompatibility is generally related to algebraic aspects of the formalism, such as commutation relations and unbiasedness of bases. Recently, the concept was identified as a resource in tasks involving quantum state discrimination and quantum programmability. Here we link quantum incompatibility with the amount of information that can be extracted from a system upon successive measurements of noncommuting observables, a scenario related to communication tasks. This approach leads us to characterize incompatibility as a resource encoded in a physical context, which involves both the quantum state and observables. Moreover, starting with a measure of context incompatibility we derive a measurement-incompatibility quantifier that is easily computable, admits a geometrical interpretation, and is maximum only if the eigenbases of the involved observables are mutually unbiased.
