Detecting the quantum discord of an unknown state by a single observable

被引:26
|
作者
Zhang, Chengjie [1 ,2 ]
Yu, Sixia [1 ,2 ,3 ,4 ]
Chen, Qing [1 ,2 ,3 ,4 ]
Oh, C. H. [1 ,2 ]
机构
[1] Natl Univ Singapore, Dept Phys, Singapore 117542, Singapore
[2] Natl Univ Singapore, Ctr Quantum Technol, Singapore 117542, Singapore
[3] Univ Sci & Technol China, Hefei Natl Lab Phys Sci Microscale, Hefei 230026, Anhui, Peoples R China
[4] Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China
来源
PHYSICAL REVIEW A | 2011年 / 84卷 / 03期
基金
新加坡国家研究基金会;
关键词
ENTANGLEMENT; BIT;
D O I
10.1103/PhysRevA.84.032122
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We propose a single observable to witness the nonzero quantum discord of an unknown quantum state provided that we have four copies of the state. The expectation value of this observable provides a necessary and sufficient condition for the nonzero quantum discord in 2 x N systems and a necessary condition in higher finite-dimensional bipartite systems. Furthermore, a nontrivial lower bound of the quantum discord can be obtained from this expectation value. The proposed observable can be experimentally measured in exactly the same way as the entanglement witness. Moreover, a quantum circuit is designed to determine the expectation value of our observable with four simultaneous local qubit measurements.
引用
收藏
页数:7
相关论文
共 50 条
  • [31] SUDDEN CHANGE OF QUANTUM DISCORD UNDER SINGLE QUBIT NOISE
    Jia, Li-Xing
    Li, Bo
    Yue, R. -H.
    Fan, Heng
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2013, 11 (05)
  • [32] Impossibility of deleting an unknown quantum state
    Arun Kumar Pati
    Samuel L. Braunstein
    Nature, 2000, 404 : 164 - 165
  • [33] Impossibility of deleting an unknown quantum state
    Pati, AK
    Braunstein, SL
    NATURE, 2000, 404 (6774) : 164 - 165
  • [34] Geometric measure of quantum discord and total quantum correlations in an N-partite quantum state
    Hassan, Ali Saif M.
    Joag, Pramod S.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (34)
  • [35] Quantum discord in quantum computation
    Brodutch, Aharon
    Gilchrist, Alexei
    Terno, Daniel R.
    Wood, Christopher J.
    5TH INTERNATIONAL WORKSHOP DICE2010: SPACE-TIME-MATTER - CURRENT ISSUES IN QUANTUM MECHANICS AND BEYOND, 2011, 306
  • [36] Relative tomography of an unknown quantum state
    Mogilevtsev, D.
    Rehacek, J.
    Hradil, Z.
    PHYSICAL REVIEW A, 2009, 79 (02):
  • [37] Weak cloning of an unknown quantum state
    Sjöqvist, E
    Åberg, J
    PHYSICS LETTERS A, 2006, 354 (5-6) : 396 - 398
  • [38] Probing quantum entanglement, quantum discord, classical correlation, and the quantum state without disturbing them
    Li, Zhen-ni
    Jin, Jia-sen
    Yu, Chang-shui
    PHYSICAL REVIEW A, 2011, 83 (01):
  • [39] Transfer of an unknown quantum state, quantum networks, and memory
    Biswas, A
    Agarwal, GS
    PHYSICAL REVIEW A, 2004, 70 (02): : 022323 - 1
  • [40] General bounds for quantum discord and discord distance
    Feng Liu
    Guo-Jing Tian
    Qiao-Yan Wen
    Fei Gao
    Quantum Information Processing, 2015, 14 : 1333 - 1341