Quantum Fidelity for Arbitrary Gaussian States

Physical Review Letters
Leonardo BanchiStefano Pirandola

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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Citations

Apr 27, 2017·Nature Communications·Stefano PirandolaLeonardo Banchi
Sep 8, 2019·The Journal of Chemical Physics·Luis A CorreaGerardo Adesso
Oct 20, 2018·Nature Communications·Hoi-Kwan Lau, Aashish A Clerk
Jun 18, 2020·Science Advances·Leonardo BanchiJuan Miguel Arrazola
Nov 20, 2016·Physical Review Letters·Ranjith Nair, Mankei Tsang
Mar 25, 2017·Physical Review Letters·Stefano Pirandola, Cosmo Lupo
Oct 17, 2018·Scientific Reports·Riccardo LaurenzaStefano Pirandola
May 6, 2019·Physical Review Letters·Carmine NapoliTommaso Tufarelli
Jul 28, 2019·Physical Review Letters·Roie DannRonnie Kosloff
Oct 25, 2020·Nature Communications·Alexander McDonald, Aashish A Clerk
Jan 29, 2021·Nature Communications·Tobias GehringUlrik L Andersen
Apr 1, 2021·Chemical Reviews·Changhyoup LeeMark Tame
Jun 3, 2021·Entropy·Viktor V Dodonov
Jul 3, 2021·Physical Review Letters·Quntao Zhuang

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