Entanglement cost of two-qubit orthogonal measurements

被引:25
作者
Bandyopadhyay, Somshubhro [1 ,2 ]
Rahaman, Ramij [3 ]
Wootters, William K. [4 ,5 ]
机构
[1] Bose Inst, Dept Phys, Kolkata 700091, India
[2] Bose Inst, Ctr Astroparticle Phys & Space Sci, Kolkata 700091, India
[3] Univ Bergen, Dept Informat, N-5020 Bergen, Norway
[4] Williams Coll, Dept Phys, Williamstown, MA 01267 USA
[5] Kigali Inst Sci & Technol, Dept Appl Phys, Kigali, Rwanda
关键词
STATES;
D O I
10.1088/1751-8113/43/45/455303
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The 'entanglement cost' of a bipartite measurement is the amount of shared entanglement two participants need to use up in order to carry out the given measurement by means of local operations and classical communication. We numerically investigate the entanglement cost of generic orthogonal measurements on two qubits. Our results strongly suggest that for almost all measurements of this kind, the entanglement cost is strictly greater than the average entanglement of the eigenstates associated with the measurements, implying that the nonseparability of a two-qubit orthogonal measurement is generically distinct from the nonseparability of its eigenstates.
引用
收藏
页数:6
相关论文
共 13 条
[1]   Entanglement cost of nonlocal measurements [J].
Bandyopadhyay, Somshubhro ;
Brassard, Gilles ;
Kimmel, Shelby ;
Wootters, William K. .
PHYSICAL REVIEW A, 2009, 80 (01)
[2]   On the capacities of bipartite Hamiltonians and unitary gates [J].
Bennett, CH ;
Harrow, AW ;
Leung, DW ;
Smolin, JA .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2003, 49 (08) :1895-1911
[3]   Quantum nonlocality without entanglement [J].
Bennett, CH ;
DiVincenzo, DP ;
Fuchs, CA ;
Mor, T ;
Rains, E ;
Shor, PW ;
Smolin, JA ;
Wootters, WK .
PHYSICAL REVIEW A, 1999, 59 (02) :1070-1091
[4]   Implementation of multipartite unitary operations with limited resources [J].
Berry, Dominic W. .
PHYSICAL REVIEW A, 2007, 75 (03)
[5]   Entanglement, information, and multiparticle quantum operations [J].
Chefles, A. ;
Gilson, C.R. ;
Barnett, S.M. .
Physical Review A. Atomic, Molecular, and Optical Physics, 2001, 63 (03) :323141-323141
[6]   Entangling operations and their implementation using a small amount of entanglement [J].
Cirac, JI ;
Dür, W ;
Kraus, B ;
Lewenstein, M .
PHYSICAL REVIEW LETTERS, 2001, 86 (03) :544-547
[7]   Distinguishability of Bell states [J].
Ghosh, S ;
Kar, G ;
Roy, A ;
Sende, A ;
Sen, U .
PHYSICAL REVIEW LETTERS, 2001, 87 (27) :277902-277902
[8]   Local indistinguishability: More nonlocality with less entanglement [J].
Horodecki, M ;
SenDe, A ;
Sen, U ;
Horodecki, K .
PHYSICAL REVIEW LETTERS, 2003, 90 (04) :4-479024
[9]   Minimal conditions for local pure-state entanglement manipulation [J].
Jonathan, D ;
Plenio, MB .
PHYSICAL REVIEW LETTERS, 1999, 83 (07) :1455-1458
[10]  
Jozsa R, 2003, QUANTUM INF COMPUT, V3, P405