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Seminar
FIELD Comp.Sciences:Information Science
DATE December 06 (Mon), 2021
TIME 14:00-16:00
PLACE 7323
SPEAKER 정갑균
HOST Lim, Youngrong
INSTITUTE 서울대학교
TITLE [GS_CS_QI] Quantum Renyi Entropy Functionals for Bosonic Gaussian Systems
ABSTRACT In this talk, I introduce an inequality known as quantum Renyi entropy power inequality of order $p>1$ and power $\kappa$, which is a quantum analogue of the classical Renyi-$p$ entropy power inequality. To derive the inequality, we first exploit the Wehrl-$p$ entropy power inequality on bosonic Gaussian systems via the mixing operation of quantum convolution (i.e., generalized beam-splitter operation). This observation directly endows a quantum Renyi-$p$ entropy power inequality over a quasi-probability distribution for a $D$-mode bosonic Gaussian regimes. We believe that it could be useful for non-trivial computing of the quantum channel capacities (especially, universal upper bounds) on bosonic Gaussian channels.
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