Quantum Fidelity for Arbitrary Gaussian States
Quantum Fidelity for Arbitrary Gaussian States
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DOI：
10.1103/physrevlett.115.260501
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发表时间：
2015-12-22
影响因子：
8.6
通讯作者：
Pirandola, Stefano
中科院分区：
文献类型：
--
作者：
Banchi, Leonardo;Braunstein, Samuel L.;Pirandola, Stefano
我们推导出两个任意多模高斯态之间的量子保真度的可计算分析公式，该公式简单地用它们的一阶和二阶统计矩来表示。我们还展示了如何用辛不变量来编写这样的公式，并用于导出各种基本量和工具的封闭形式，例如 Bures 度量、量子 Fisher 信息和各种基于保真度的界限。我们的结果可用于扩展连续变量协议的研究，例如量子隐形传态和克隆，超越当前的单模或双模分析，并为使用任意多模高斯资源解决量子计量和量子假设检验中的一般问题铺平道路。
We derive a computable analytical formula for the quantum fidelity between two arbitrary multimode Gaussian states which is simply expressed in terms of their first- and second-order statistical moments. We also show how such a formula can be written in terms of symplectic invariants and used to derive closed forms for a variety of basic quantities and tools, such as the Bures metric, the quantum Fisher information, and various fidelity-based bounds. Our result can be used to extend the study of continuous-variable protocols, such as quantum teleportation and cloning, beyond the current one-mode or two-mode analyses, and paves the way to solve general problems in quantum metrology and quantum hypothesis testing with arbitrary multimode Gaussian resources.