论文标题

多拷贝可观察到光学非古典状态的可观察物

Multicopy observables for the detection of optically nonclassical states

论文作者

Arnhem, Matthieu, Griffet, Célia, Cerf, Nicolas J.

论文摘要

区分量子状态,即接受经典的对应物与表现出非经典性的量子状态长期以来一直是量子光学的核心问题。找到可实施的标准,以证明光学非经典性(即,与相干状态的统计混合物的不相容性)至关重要,因为它通常是量子信息过程的先决条件。检测量子状态是否表现出光学非古老的条件的层次结构可以根据光场的某些矩阵编写[物理学。 Rev. A 72,043808(2005)]。在这里,我们设计了对量子状态的多个复制品作用的光学非经典性可观察性,其期望值与这些矩阵的决定因素相吻合,因此提供了克服了对国家断层扫描需求的光学非经典性的见证人。这些多拷贝可观察物用于构建涉及线性光学操作和光子数探测器的物理实现方案的家族。

Distinguishing quantum states that admit a classical counterpart from those that exhibit nonclassicality has long been a central issue in quantum optics. Finding an implementable criterion certifying optical nonclassicality (i.e, the incompatibility with a statistical mixture of coherent states) is of major importance as it often is a prerequisite to quantum information processes. A hierarchy of conditions for detecting whether a quantum state exhibits optical nonclassicality can be written based on some matrices of moments of the optical field [Phys. Rev. A 72, 043808 (2005)]. Here, we design optical nonclassicality observables that act on several replicas of a quantum state and whose expectation value coincides with the determinant of these matrices, hence providing witnesses of optical nonclassicality that overcome the need for state tomography. These multicopy observables are used to construct a family of physically implementable schemes involving linear optical operations and photon number detectors.

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