Estimation of Gaussian random displacement using non-Gaussian states
نویسندگان
چکیده
In continuous-variable quantum information processing, error correction of Gaussian errors requires simultaneous estimation both quadrature components displacements on phase space. However, operators $x$ and $p$ are non-commutative conjugate observables, whose measurement is prohibited by the uncertainty principle. Gottesman-Kitaev-Preskill (GKP) deals with this problem using complex non-Gaussian states called GKP states. On other hand, displacement experimentally feasible has not been well studied. paper, we consider a multi-parameter assuming an isotropic prior distribution allowing post-selection outcomes. We derive lower bound for when only operations used, show that even simple such as single-photon can beat bound. Based Ghosh's bound, also obtain maximum photon number input state given. Our results reveal role non-Gaussianity in displacements, pave way toward
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ژورنال
عنوان ژورنال: Physical review
سال: 2021
ISSN: ['0556-2813', '1538-4497', '1089-490X']
DOI: https://doi.org/10.1103/physreva.104.062601