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Quantum fidelity for arbitrary Gaussian states

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JournalPhysical Review Letters
DatePublished - 22 Dec 2015
Volume115
Original languageEnglish

Abstract

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.

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Main text (4 pages) plus Appendices

    Research areas

  • quant-ph, cond-mat.other, math-ph, math.MP, physics.optics

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