Mermin inequalities for perfect correlations

被引:33
作者
Cabello, Adan [1 ]
Guehne, Otfried [2 ,3 ]
Rodriguez, David [4 ]
机构
[1] Univ Seville, Dept Fis Aplicada 2, E-41012 Seville, Spain
[2] Austrian Acad Sci, Inst Quantenopt & Quanteninformat, A-6020 Innsbruck, Austria
[3] Univ Innsbruck, Inst Theoret Phys, A-6020 Innsbruck, Austria
[4] Univ Seville, Dept Fis Aplicada 3, E-41092 Seville, Spain
来源
PHYSICAL REVIEW A | 2008年 / 77卷 / 06期
关键词
D O I
10.1103/PhysRevA.77.062106
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Any n-qubit state with n independent perfect correlations is equivalent to a graph state. We present the optimal Bell inequalities for perfect correlations and maximal violation for all classes of graph states with n <= 6 qubits. Twelve of them were previously unknown and four give the same violation as the Greenberger-Horne-Zeilinger state, although the corresponding states are more resistant to decoherence.
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页数:5
相关论文
共 33 条
[1]   BELL INEQUALITIES WITH A MAGNITUDE OF VIOLATION THAT GROWS EXPONENTIALLY WITH THE NUMBER OF PARTICLES [J].
ARDEHALI, M .
PHYSICAL REVIEW A, 1992, 46 (09) :5375-5378
[2]   Modeling Pauli measurements on graph states with nearest-neighbor classical communication [J].
Barrett, Jonathan ;
Caves, Carlton M. ;
Eastin, Bryan ;
Elliott, Matthew B. ;
Pironio, Stefano .
PHYSICAL REVIEW A, 2007, 75 (01)
[3]   Stronger two-observer all-versus-nothing violation of local realism [J].
Cabello, A .
PHYSICAL REVIEW LETTERS, 2005, 95 (21)
[4]  
CABELLO A, ARXIV07123268
[5]   Two-player quantum pseudotelepathy based on recent all-versus-nothing violations of local realism [J].
CABELLO, ADAN .
PHYSICAL REVIEW A, 2006, 73 (02)
[6]   Quantum code words contradict local realism [J].
DiVincenzo, DP ;
Peres, A .
PHYSICAL REVIEW A, 1997, 55 (06) :4089-4092
[7]   Stability of macroscopic entanglement under decoherence -: art. no. 180403 [J].
Dür, W ;
Briegel, HJ .
PHYSICAL REVIEW LETTERS, 2004, 92 (18) :180403-1
[8]   Class of quantum error-correcting codes saturating the quantum Hamming hound [J].
Gottesman, D .
PHYSICAL REVIEW A, 1996, 54 (03) :1862-1868
[9]  
GREENBERGER DM, 1989, FUND THEOR, V37, P69
[10]   Generalized Ardehali-Bell inequalities for graph states [J].
Guehne, Otfried ;
Cabello, Adan .
PHYSICAL REVIEW A, 2008, 77 (03)