Classical communication cost of quantum steering

被引:18
作者
Sainz, Ana Belen [1 ]
Aolita, Leandro [2 ]
Brunner, Nicolas [3 ]
Gallego, Rodrigo [4 ]
Skrzypczyk, Paul [1 ]
机构
[1] Univ Bristol, HH Wills Phys Lab, Tyndall Ave, Bristol BS8 1TL, Avon, England
[2] Univ Fed Rio de Janeiro, Inst Fis, POB 68528, BR-21941972 Rio De Janeiro, RJ, Brazil
[3] Univ Geneva, Dept Phys Theor, CH-1211 Geneva, Switzerland
[4] Free Univ Berlin, Dahlem Ctr Complex Quantum Syst, D-14195 Berlin, Germany
基金
瑞士国家科学基金会; 英国工程与自然科学研究理事会;
关键词
ENTANGLEMENT; NONLOCALITY;
D O I
10.1103/PhysRevA.94.012308
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Quantum steering is observed when performing appropriate local measurements on an entangled state. Here we discuss the possibility of simulating classically this effect, using classical communication instead of entanglement. We show that infinite communication is necessary for exactly simulating steering for any pure entangled state, as well as for a class of mixed entangled states. Moreover, we discuss the communication cost of steering for general entangled states, as well as approximate simulation. Our findings reveal striking differences between Bell nonlocality and steering and provide a natural way of measuring the strength of the latter.
引用
收藏
页数:8
相关论文
共 34 条
  • [1] Bell J. S., 1964, Physics Physique Fizika, V1, P195, DOI [DOI 10.1103/PHYSICSPHYSIQUEFIZIKA.1.195, 10.1103/Physics-PhysiqueFizika.1.195]
  • [2] Arbitrarily Loss-Tolerant Einstein-Podolsky-Rosen Steering Allowing a Demonstration over 1 km of Optical Fiber with No Detection Loophole
    Bennet, A. J.
    Evans, D. A.
    Saunders, D. J.
    Branciard, C.
    Cavalcanti, E. G.
    Wiseman, H. M.
    Pryde, G. J.
    [J]. PHYSICAL REVIEW X, 2012, 2 (03):
  • [3] Branciard C., 2012, PHYS REV A, V85
  • [4] Cost of exactly simulating quantum entanglement with classical communication
    Brassard, G
    Cleve, R
    Tapp, A
    [J]. PHYSICAL REVIEW LETTERS, 1999, 83 (09) : 1874 - 1877
  • [5] Brunner N, 2014, REV MOD PHYS, V86, DOI 10.1103/RevModPhys.86.419
  • [6] All Entangled Quantum States Are Nonlocal
    Buscemi, Francesco
    [J]. PHYSICAL REVIEW LETTERS, 2012, 108 (20)
  • [7] Detection of entanglement in asymmetric quantum networks and multipartite quantum steering
    Cavalcanti, D.
    Skrzypczyk, P.
    Aguilar, G. H.
    Nery, R. V.
    Ribeiro, P. H. Souto
    Walborn, S. P.
    [J]. NATURE COMMUNICATIONS, 2015, 6
  • [8] Cavalcanti D., ARXIV151200277
  • [9] Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
    Cavalcanti, E. G.
    Jones, S. J.
    Wiseman, H. M.
    Reid, M. D.
    [J]. PHYSICAL REVIEW A, 2009, 80 (03):
  • [10] Simulating quantum correlations as a distributed sampling problem
    Degorre, J
    Laplante, S
    Roland, J
    [J]. PHYSICAL REVIEW A, 2005, 72 (06):