Optimal unambiguous discrimination of pure quantum states using SDP method

被引:4
|
作者
Karimi, N. [1 ]
机构
[1] Farhangian Univ, Dept Sci, Tehran 1998963341, Iran
关键词
Unambiguous discrimination; Semidefinite programming; Linearly independent States; OPTIMAL DISTINCTION; APPROXIMATION;
D O I
10.1016/j.cjph.2021.05.009
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In the present paper, an exact analytic solution for the optimal unambiguous state discrimination (OPUSD) problem involving an arbitrary number of pure linearly independent quantum states with real and complex inner product is presented. Using semidefinite programming and KarushKuhn-Tucker convex optimization method, we derive an analytical formula which shows the relation between optimal solution of unambiguous state discrimination problem and an arbitrary number of pure linearly independent quantum states.
引用
收藏
页码:681 / 687
页数:7
相关论文
共 50 条
  • [1] Optimal Unambiguous Discrimination of Pure Quantum States
    Bergou, Janos A.
    Futschik, Ulrike
    Feldman, Edgar
    PHYSICAL REVIEW LETTERS, 2012, 108 (25)
  • [2] Analysis of optimal unambiguous discrimination of three pure quantum states
    Ha, Donghoon
    Kwon, Younghun
    PHYSICAL REVIEW A, 2015, 91 (06):
  • [3] Optical realization of optimal unambiguous discrimination for pure and mixed quantum states
    Mohseni, M
    Steinberg, AM
    Bergou, JA
    PHYSICAL REVIEW LETTERS, 2004, 93 (20) : 200403 - 1
  • [4] Optimal unambiguous discrimination of quantum states
    Jafarizadeh, M. A.
    Rezaei, M.
    Karimi, N.
    Amiri, A. R.
    PHYSICAL REVIEW A, 2008, 77 (04):
  • [5] Unambiguous discrimination of linearly independent pure quantum states: Optimal average probability of success
    Bandyopadhyay, Somshubhro
    PHYSICAL REVIEW A, 2014, 90 (03):
  • [6] Optimal unambiguous discrimination of pure qudits
    Zhang, Wen-Hai
    Yu, Long-Bao
    Cao, Zhuo-Liang
    Ye, Liu
    QUANTUM INFORMATION PROCESSING, 2014, 13 (02) : 503 - 511
  • [7] Optimal unambiguous discrimination of pure qudits
    Wen-Hai Zhang
    Long-Bao Yu
    Zhuo-Liang Cao
    Liu Ye
    Quantum Information Processing, 2014, 13 : 503 - 511
  • [8] A semidefinite programming approach to optimal unambiguous discrimination of quantum states
    Eldar, YC
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2003, 49 (02) : 446 - 456
  • [9] Unambiguous discrimination of mixed quantum states: Optimal solution and case study
    Kleinmann, Matthias
    Kampermann, Hermann
    Bruss, Dagmar
    PHYSICAL REVIEW A, 2010, 81 (02):
  • [10] Linear optical implementation of optimal unambiguous discrimination among quantum states
    Lu Jing
    Zhou Lan
    Kuang Le-Man
    CHINESE PHYSICS, 2006, 15 (09): : 1941 - 1946