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.
引用
收藏
页数：10
相关论文
共 50 条
  • [41] On the entanglement of formation of two-mode Gaussian states: a compact form
    Akbari-Kourbolagh, Y.
    Alijanzadeh-Boura, H.
    QUANTUM INFORMATION PROCESSING, 2015, 14 (11) : 4179 - 4199
  • [42] Entanglement swapping of two-mode Gaussian states in a thermal environment
    Li, HR
    Li, FL
    Yang, Y
    Zhang, Q
    PHYSICAL REVIEW A, 2005, 71 (02):
  • [43] On the entanglement of formation of two-mode Gaussian states: a compact form
    Y. Akbari-Kourbolagh
    H. Alijanzadeh-Boura
    Quantum Information Processing, 2015, 14 : 4179 - 4199
  • [44] Steering evolution of two-mode Gaussian states in noisy environments
    Abbasnezhad, Farkhondeh
    Afshar, Davood
    Jafarpour, Mojtaba
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2019, 17 (04)
  • [45] The entanglement properties of photon subtracted two-mode Gaussian states
    Wu, Liang-neng
    Chen, Xiao-yu
    QUANTUM AND NONLINEAR OPTICS, 2010, 7846
  • [46] Entanglement dynamics of two-mode Gaussian states in a thermal environment
    Aurelian Isar
    Journal of Russian Laser Research, 2009, 30 : 458 - 465
  • [47] Entanglement and purity of two-mode Gaussian states in noisy channels
    Serafini, A
    Illuminati, F
    Paris, MGA
    De Siena, S
    PHYSICAL REVIEW A, 2004, 69 (02):
  • [48] QUANTUM FIDELITY OF TWO-MODE GAUSSIAN STATES IN A THERMAL RESERVOIR
    Cuzminschi, Marina
    Zubarev, Alexei
    Isar, Aurelian
    PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2019, 20 (03): : 251 - 258
  • [49] QUANTUM FIDELITY OF TWO-MODE GAUSSIAN STATES IN THE TWO-RESERVOIR MODEL
    Boura, Hoda Alijanzadeh
    Isar, Aurelian
    Kourbolagh, Yahya Akbari
    ROMANIAN REPORTS IN PHYSICS, 2016, 68 (01) : 19 - 28
  • [50] Properties of entropy and entanglement of two-mode nonlinear coherent states
    Abdel-Aty, M
    El-Shahat, TM
    Obada, ASF
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2002, 38 (06) : 715 - 728
12345