Quantum Gaussian maximizers and log-Sobolev inequalities
نویسندگان
چکیده
Basing on recently developed convex programming framework in the paper [arXiv:2204.10626], we provide a proof for long-standing conjecture optimality of Gaussian encondings ultimate communication rate generalized heterodyne receivers under oscillator energy constraint. Our results generalize previous ones (obtained assumption validity threshold condition) and show drastic difference structure optimal encoding within beyond this condition. The core case is new log-Sobolev type inequality, which relates Wehrl entropy with wavefunction gradient.
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ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2023
ISSN: ['0377-9017', '1573-0530']
DOI: https://doi.org/10.1007/s11005-023-01634-6