Degree of complementarity determines the nonlocality in quantum mechanics

被引:62
作者
Banik, Manik [1 ]
Gazi, Md Rajjak [1 ]
Ghosh, Sibasish [2 ]
Kar, Guruprasad [1 ]
机构
[1] Indian Stat Inst, Phys & Appl Math Unit, Kolkata 700108, India
[2] Inst Math Sci, Opt & Quantum Informat Grp, Madras 600113, Tamil Nadu, India
来源
PHYSICAL REVIEW A | 2013年 / 87卷 / 05期
关键词
JOINT MEASUREMENT; UNCERTAINTY;
D O I
10.1103/PhysRevA.87.052125
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Bohr's complementarity principle is one of the central concepts in quantum mechanics which restricts joint measurement for certain observables. Of course, later development shows that joint measurement could be possible for such observables with the introduction of a certain degree of unsharpness or fuzziness in the measurement. In this paper, we show that the optimal degree of unsharpness, which guarantees the joint measurement of all possible pairs of dichotomic observables, determines the degree of nonlocality in quantum mechanics as well as in more general no-signaling theories.
引用
收藏
页数:5
相关论文
共 29 条
[1]   Joint measurements of spin, operational locality, and uncertainty [J].
Andersson, E ;
Barnett, SM ;
Aspect, A .
PHYSICAL REVIEW A, 2005, 72 (04)
[2]   Information Processing in Convex Operational Theories [J].
Barnum, Howard ;
Wilce, Alexander .
ELECTRONIC NOTES IN THEORETICAL COMPUTER SCIENCE, 2011, 270 (01) :3-15
[3]   Information processing in generalized probabilistic theories [J].
Barrett, Jonathan .
PHYSICAL REVIEW A, 2007, 75 (03)
[4]  
Bell J. S., 1964, Physics, V1, P195, DOI [10.1103/physicsphysiquefizika.1.195, DOI 10.1103/PHYSICSPHYSIQUEFIZIKA.1.195, 10.1103/Physics-PhysiqueFizika.1.195]
[5]   The quantum postulate and the recent development of atomic theory. [J].
Bohr, N .
NATURE, 1928, 121 :580-591
[6]   UNSHARP REALITY AND JOINT MEASUREMENTS FOR SPIN OBSERVABLES [J].
BUSCH, P .
PHYSICAL REVIEW D, 1986, 33 (08) :2253-2261
[8]   SOME REALIZABLE JOINT MEASUREMENT OF COMPLEMENTARY OBSERVABLES [J].
BUSCH, P .
FOUNDATIONS OF PHYSICS, 1987, 17 (09) :905-937
[9]  
Busch P., ARXIV12104142
[10]   Informationally complete joint measurements on finite quantum systems [J].
Carmeli, Claudio ;
Heinosaari, Teiko ;
Toigo, Alessandro .
PHYSICAL REVIEW A, 2012, 85 (01)