Strict detector-efficiency bounds for n-site Clauser-Horne inequalities

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 63, Issue 2, 2001, Pages 022117-022111

  Larsson, Jan Åke ^a,b   Semitecolos, Jason ^b  

^a LINKÖPING UNIVERSITY   (Sweden)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MEASUREMENT THEORY; PROBABILITY; QUANTUM EFFICIENCY; SET THEORY;

CLAUSER-HORNE INEQUALITIES;

QUANTUM THEORY;

EID: 0035250816     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.63.022117     Document Type: Article

References (13)

1. J. S. Bell, Physics (Long Island City, N.Y.) 1, 195 (1964); J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969); J. F. Clauser and M. A. Horne, Phys. Rev. D 10, 526 (1974).
2. J. S. Bell, Physics (Long Island City, N.Y.) 1, 195 (1964); J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969); J. F. Clauser and M. A. Horne, Phys. Rev. D 10, 526 (1974).
3. J. S. Bell, Physics (Long Island City, N.Y.) 1, 195 (1964); J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969); J. F. Clauser and M. A. Horne, Phys. Rev. D 10, 526 (1974).
4. A. Garg and N. D. Mermin, Phys. Rev. D 35, 3831 (1987); J.-Å. Larsson, Phys. Rev. A 57, 3304 (1998).
5. A. Garg and N. D. Mermin, Phys. Rev. D 35, 3831 (1987); J.-Å. Larsson, Phys. Rev. A 57, 3304 (1998).
6. 1 = 1 might then correspond to a certain range of values of the position measurement.
7. P. H. Eberhard, Phys. Rev. A 47, R747 (1993).
8. 2 = 1), equality in Eqs. (8a)-(8d) implies one of the terms in the numerator is less than the other, while two of the terms in the denominator are less than the third, yielding a higher bound.
9. A2〉 for which there is no violation [e.g., Eq. (7) is on the form 0/0]. Indeed, it was noted in [4] that the state which gave the highest violation approaches this product state as η goes to 2/3, and so does the |δ〉 state used here when e decreases.
10. 2(θ/2)/2 sin(θ/2)cos(θ/2)=tan(θ/2). (32) We then have the probabilities we want from |δ〉 and our rotation.
11. 2). (33e) This choice is also usable, but yields a lower absolute violation in the CH inequality than the choice in the proofs above.
12. 2). (33e) This choice is also usable, but yields a lower absolute violation in the CH inequality than the choice in the proofs above.
13. I. Pitowsky, Quantum Probability - Quantum Logic, edited by W. Beiglböck, Lecture Notes in Physics Vol. 321 (Springer, Berlin, 1989).