论文标题
测量不兼容所需的量子相干性量
Amount of quantum coherence needed for measurement incompatibility
论文作者
论文摘要
可以共同测量一对相同“不相互”基础上的量子可观察的对角线，因此显然需要一些连贯性才能使测量不兼容。在这里，我们首先观察到，单个可观察到的连贯性与与其可观察到的任何可观察到的任何可观察到的对角元素有关，从而导致了不兼容所需的一般标准。专门研究第二个可观察到不连贯的情况（对角线），我们开发了一种具体的方法来解决不兼容问题，即使在大型系统中也可以通过分析界限进行处理，而无需求助于数值优化。我们通过快速证明与互无偏基的已知噪声相结合的快速证明，并将其应用于N Qubit开放量子系统的自旋 - 玻璃模型中的新兴经典性。最后，我们在文献中先前使用的“真正的不一致的操作”的操作资源理论环境中制定理论，并表明，如果连贯性不足以维持不兼容性，则相关的关节测量可以通过不相互仪器进行顺序实现。
A pair of quantum observables diagonal in the same "incoherent" basis can be measured jointly, so some coherence is obviously required for measurement incompatibility. Here we first observe that coherence in a single observable is linked to the diagonal elements of any observable jointly measurable with it, leading to a general criterion for the coherence needed for incompatibility. Specialising to the case where the second observable is incoherent (diagonal), we develop a concrete method for solving incompatibility problems, tractable even in large systems by analytical bounds, without resorting to numerical optimisation. We verify the consistency of our method by a quick proof of the known noise bound for mutually unbiased bases, and apply it to study emergent classicality in the spin-boson model of an N-qubit open quantum system. Finally, we formulate our theory in an operational resource-theoretic setting involving "genuinely incoherent operations" used previously in the literature, and show that if the coherence is insufficient to sustain incompatibility, the associated joint measurements have sequential implementations via incoherent instruments.
