Unital Positive Maps and Quantum States

被引:4
|
作者
Asorey, M. [1 ]
Kossakowski, A. [2 ]
机构
[1] Univ Zaragoza, Fac Ciencias, Dept Fis, E-50009 Zaragoza, Spain
[2] Nicholas Copernicus Univ, Inst Phys, PL-87100 Torun, Poland
来源
OPEN SYSTEMS & INFORMATION DYNAMICS | 2008年 / 15卷 / 02期
关键词
D O I
10.1142/S1230161208000110
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We analyze the structure of the subset of states generated by unital completely positive quantum maps. A witness certifying that a state does not belong to the subset generated by a given map is constructed. We analyse the representations of positive maps and their relation to quantum Perron-Frobenius theory.
引用
收藏
页码:123 / 134
页数:12
相关论文
共 50 条
  • [41] Quantum measurement, information, and completely positive maps
    Ozawa, M
    QUANTUM COMMUNICATION, COMPUTING, AND MEASUREMENT 3, 2001, : 97 - 106
  • [42] ON COMPLETELY POSITIVE MAPS IN GENERALIZED QUANTUM DYNAMICS
    SIMMONS, RF
    PARK, JL
    FOUNDATIONS OF PHYSICS, 1981, 11 (1-2) : 47 - 55
  • [43] The geometry of density states, positive maps and tomograms
    Man'ko, VI
    Marmo, G
    Sudarshan, ECG
    Zaccaria, F
    SYMMETRIES IN SCIENCE XI, 2004, : 395 - 443
  • [44] Non-Markovianity Measure Based on Brukner–Zeilinger Invariant Information for Unital Quantum Dynamical Maps
    贺志
    朱烈强
    李莉
    Communications in Theoretical Physics, 2017, 67 (03) : 255 - 260
  • [45] Quantum Logics of Idempotents of Unital Rings
    Airat Bikchentaev
    Mirko Navara
    Rinat Yakushev
    International Journal of Theoretical Physics, 2015, 54 : 1987 - 2000
  • [46] Entropy-preserving maps on quantum states
    He, Kan
    Yuan, Qing
    Hou, Jinchuan
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 467 : 243 - 253
  • [47] Stochastic Resonance with Unital Quantum Noise
    Gillard, Nicolas
    Belin, Etienne
    Chapeau-Blondeau, Francois
    FLUCTUATION AND NOISE LETTERS, 2019, 18 (03):
  • [48] An upper bound on quantum capacity of unital quantum channels
    Anshu, Anurag
    2017 IEEE INFORMATION THEORY WORKSHOP (ITW), 2017, : 214 - 218
  • [49] On the surjectivity of certain Maps III: The unital set condition
    Kumar, C. P. Anil
    JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2022, 37 (04) : 347 - 373
  • [50] Quantum Logics of Idempotents of Unital Rings
    Bikchentaev, Airat
    Navara, Mirko
    Yakushev, Rinat
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2015, 54 (06) : 1987 - 2000