Any two-qubit state has nonzero quantum discord under global unitary operations

被引:0
作者
Mukherjee, Kaushiki [1 ]
Paul, Biswajit [2 ]
Karmakar, Sumana [3 ]
机构
[1] Govt Girls Gen Degree Coll, Dept Math, Kolkata 700023, India
[2] Balagarh Bijoykrishna Mahavidyalaya, Dept Math, Balagarh 712501, India
[3] Heritage Coll, Dept Math, Kolkata 700107, India
关键词
COMMUNICATION; TELEPORTATION; ENTANGLEMENT; SEPARABILITY;
D O I
10.1140/epjd/s10053-021-00055-1
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Quantum discord is significant in analyzing quantum nonclassicality beyond the paradigm of entanglement. Presently, we have explored the effectiveness of global unitary operations in manifesting quantum discord from a general two-qubit zero discord state. Apart from the emergence of some obvious concepts such as absolute classical-quantum and absolute quantum-classical states, more interestingly, it is observed that set of states characterized by absoluteness contains only maximally mixed state. Consequently, this marks the peak of effectiveness of global unitary operations in purview of manifesting nonclassicality from arbitrary two-qubit state when other standard methods fail to do so. A set of effective global unitaries has been provided in this context. Our observations have direct implications in remote state preparation task.
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页数:12
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共 53 条
[1]  
Adhikari S, 2012, QUANTUM INF COMPUT, V12, P253
[2]   Entanglement in many-body systems [J].
Amico, Luigi ;
Fazio, Rosario ;
Osterloh, Andreas ;
Vedral, Vlatko .
REVIEWS OF MODERN PHYSICS, 2008, 80 (02) :517-576
[3]   COMMUNICATION VIA ONE-PARTICLE AND 2-PARTICLE OPERATORS ON EINSTEIN-PODOLSKY-ROSEN STATES [J].
BENNETT, CH ;
WIESNER, SJ .
PHYSICAL REVIEW LETTERS, 1992, 69 (20) :2881-2884
[4]   TELEPORTING AN UNKNOWN QUANTUM STATE VIA DUAL CLASSICAL AND EINSTEIN-PODOLSKY-ROSEN CHANNELS [J].
BENNETT, CH ;
BRASSARD, G ;
CREPEAU, C ;
JOZSA, R ;
PERES, A ;
WOOTTERS, WK .
PHYSICAL REVIEW LETTERS, 1993, 70 (13) :1895-1899
[5]   Remote preparation of quantum states [J].
Bennett, CH ;
Hayden, P ;
Leung, DW ;
Shor, PW ;
Winter, A .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (01) :56-74
[6]   Remote state preparation [J].
Bennett, CH ;
DiVincenzo, DP ;
Shor, PW ;
Smolin, JA ;
Terhal, BM ;
Wootters, WK .
PHYSICAL REVIEW LETTERS, 2001, 87 (07) :77902-1
[7]   Absolute non-violation of a three-setting steering inequality by two-qubit states [J].
Bhattacharya, Some Sankar ;
Mukherjee, Amit ;
Roy, Arup ;
Paul, Biswajit ;
Mukherjee, Kaushiki ;
Chakrabarty, Indranil ;
Jebaratnam, C. ;
Ganguly, Nirman .
QUANTUM INFORMATION PROCESSING, 2018, 17 (01)
[8]   Separability of very noisy mixed states and implications for NMR Quantum computing [J].
Braunstein, SL ;
Caves, CM ;
Jozsa, R ;
Linden, N ;
Popescu, S ;
Schack, R .
PHYSICAL REVIEW LETTERS, 1999, 83 (05) :1054-1057
[9]   Entanglement, discord, and the power of quantum computation [J].
Brodutch, Aharon ;
Terno, Daniel R. .
PHYSICAL REVIEW A, 2011, 83 (01)
[10]   Bell's inequalities and quantum communication complexity [J].
Brukner, C ;
Zukowski, M ;
Pan, JW ;
Zeilinger, A .
PHYSICAL REVIEW LETTERS, 2004, 92 (12) :127901-1