Quantum Fidelity for Arbitrary Gaussian States

被引:158
作者
Banchi, Leonardo [1 ]
Braunstein, Samuel L. [2 ,3 ]
Pirandola, Stefano [2 ,3 ]
机构
[1] UCL, Dept Phys & Astron, London WC1E 6BT, England
[2] Univ York, Comp Sci, York YO10 5GH, N Yorkshire, England
[3] Univ York, York Ctr Quantum Technol, York YO10 5GH, N Yorkshire, England
基金
欧洲研究理事会; 英国工程与自然科学研究理事会; 芬兰科学院;
关键词
STATISTICAL DISTANCE; CLONING; TELEPORTATION;
D O I
10.1103/PhysRevLett.115.260501
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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.
引用
收藏
页数:6
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