Quantum-communication protocol employing weak measurements

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 61, Issue 5, 2000, Pages 503011-503014

  Botero, Alonso ^a,c   Reznik, Benni ^b  

^a The University of Texas at Austin   (United States)

^b TEL AVIV UNIVERSITY   (Israel)

^c UNIVERSIDAD NACIONAL DE COLOMBIA   (Colombia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347741653     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. Y. Aharonov, D. Albert, A. Casher, and L. Vaidman, Phys. Lett. A 124, 199 (1987).
2. Y. Aharonov, D.Z. Albert, and L. Vaidman, Phys. Rev. Lett. 60, 1351 (1988).
3. Y. Aharonov and L. Vaidman, Phys. Rev. A 41, 11 (1990).
4. B. Schumacher, Phys. Rev. A 51, 2738 (1995).
5. w(b-1)} will generally vary with the chosen final direction b̂, even when the probabilities {P(b),P(b-)} remain unchanged under this variation.
6. 2 m per batch.
7. This would hold, in fact, even if Alice had adopted a deception scheme in which the spins were prepared at random in either the |x+] or |x-] directions. Alice would decode the message by binning into four instead of two categories. However, Eve would still be able to decode the message from the weak averages. This is essentially a time-reversed version of a situation in which the initial states are distinguished by their corresponding expectation values.
8. C.H. Bennett and G. Brassard, in Proceedings of the IEEE International Conference on Computers, Systems, and Signal Processing, Bangalore, India (IEEE, New York, 1984), p. 175.
9. L. Goldenberg and L. Vaidman, Phys. Rev. Lett. 75, 1239 (1995).
10. Y. Aharonov, L. Davidovich, and N. Zagury, Phys. Rev. A 48, 1687 (1993).
11. N. Zagury and A.F.R. de Toledo Piza, Phys. Rev. A 50, 2908 (1994).
12. I.M. Duck, P.M. Stevenson, and E.C.G. Sudarshan, Phys. Rev. D 40, 2112 (1989).
13. J.M. Knight and L. Vaidman, Phys. Lett. A 143, 357 (1990).
14. N.W.M. Ritchie, J.G. Story, and R.G. Hulet, Phys. Rev. Lett. 66, 1107 (1991).
15. J.G. Story, N.W.M. Ritchie, and R.G. Hulet, Mod. Phys. Lett. B 5, 1713 (1991).
16. C.H. Bennett and S.J. Wiesner, Phys. Rev. Lett. 69, 2881 (1992).
17. C.H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W.K. Wootters, Phys. Rev. Lett. 70, 1895 (1993).
18. A.K. Ekert, Phys. Rev. Lett. 67, 661 (1991).
19. C.H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J.A. Smolin, and W.K. Wootters, Phys. Rev. Lett. 76, 722 (1996); C. Bennett, D. DiVincenzo, J.A. Smolin, and W.K. Wootters, Phys. Rev. A 54, 3824 (1996).
20. C.H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J.A. Smolin, and W.K. Wootters, Phys. Rev. Lett. 76, 722 (1996); C. Bennett, D. DiVincenzo, J.A. Smolin, and W.K. Wootters, Phys. Rev. A 54, 3824 (1996).