Computation of sandwiched relative α-entropy of two n-mode Gaussian states

被引：1
|
作者：
Parthasarathy, K. R. [1 ]
机构：
[1] Indian Stat Inst, Delhi Ctr, Theoret Stat & Math Unit, 7 SJS Sansanwal Marg, New Delhi 110016, India
来源：
INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS | 2022年 / 25卷 / 02期
关键词：
Boson Fock space; generating function; n-mode Gaussian states; relative entropy; quantum fidelity; STRONG CONVERSE;
D O I：
10.1142/S0219025722500084
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A formula for the sandwiched relative alpha-entropy (D) over tilde (alpha)(rho parallel to sigma) = 1/alpha -1 In Tr(sigma 1-alpha/2 alpha rho sigma 1-alpha/2 alpha)(alpha) for 0 < alpha < 1, of two n-mode Gaussian states rho, sigma in the boson Fock space Gamma(C-n) is presented. This computation extensively employs the epsilon(2)-parametrization of Gaussian states in Gamma(C-n) introduced in Ref. 10.
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收藏
页数：10
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