Can quantum cryptography imply quantum mechanics?

Quantum Information and Computation

Volumn 5, Issue 2, 2005, Pages 161-169

  Smolin, John A ^a  

^a IBM T J WATSON RESEARCH CENTER   (United States)

Author keywords

Cryptography; Foundations; Quantum

Indexed keywords

CRYPTOGRAPHY; FOUNDATIONS; MECHANICS; QUANTUM THEORY;

BIT COMMITMENT; KEY STORAGE; QUANTUM; QUANTUM NATURE; SECRET KEY;

QUANTUM CRYPTOGRAPHY;

EID: 16244403608     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (25)

1. C.A. Fuchs, quant-ph/0205039.
2. J. Bub, "The Quantum Bit Commitment Theorem," Found. Phys. 31, 735 (2001), also available as quant-ph/0007090.
3. C.A. Fuchs, "Notes on a Paulian Idea," quant-ph/0105039, pp. 83-84, 96-98, 100-103, 190-191.
4. C.A. Fuchs and K. Jacobs, "Information Tradeoff Relations for Finite-Strength Quantum Measurements," Phys. Rev. A 63, 062305 (2001), also available as quant-ph/0009101.
5. C.H. Bennett and G. Brassard, in Proceedings of the IEEE International Conference on Computer, Systems, and Signal Processing, Bangalore, India (IEEE, New York, 1984), pp. 175-179.
6. D. Mayers, "Unconditional security in Quantum Cryptography," quant-ph/9802025.
7. D. Mayers, "Unconditionally secure quantum bit commitment is impossible," Phys. Rev. Letts. 78, 3414-3417 (1997).
8. H.-K. Lo and H.F. Chau, "Is quantum bit commitment really possible?," Phys. Rev. Letts. 78, 3410-3413 (1997).
9. R. Clifton, J. Bub and H. Halvorson, "Characterizing quantum theory in terms of information-theoretic quant-ph/0211089.
10. H. Barnum, C.M. Caves, C.A. Fuchs, R. Jozsa, and B. Schumacher, "Noncommuting mixed states cannot be broadcast," Phys. Rev. Letts. 76, 2318 (1996).
11. C.H. Bennett, D.P. DiVincenzo, C.A. Fuchs, T. Mor, E. Rains, P.W. Shor, J.A. Smolin and W.K. Wootters, "Quantum Nonlocality without Entanglement," Phys. Rev. A 59, 1070 (1999). These have also been called "exposed variable" theories by Bell, see J.S. Bell, Speakable and Unspeakable in Quantum Mechanics, Cambridge University Press, p. 201 (1987) and cf. D.M. Appleby, "The Bell-Kochen-Specker Theorem," quant-ph/0308114.
12. C.H. Bennett, D.P. DiVincenzo, C.A. Fuchs, T. Mor, E. Rains, P.W. Shor, J.A. Smolin and W.K. Wootters, "Quantum Nonlocality without Entanglement," Phys. Rev. A 59, 1070 (1999). These have also been called "exposed variable" theories by Bell, see J.S. Bell, Speakable and Unspeakable in Quantum Mechanics, Cambridge University Press, p. 201 (1987) and cf. D.M. Appleby, "The Bell-Kochen-Specker Theorem," quant-ph/0308114.
13. C.H. Bennett, D.P. DiVincenzo, C.A. Fuchs, T. Mor, E. Rains, P.W. Shor, J.A. Smolin and W.K. Wootters, "Quantum Nonlocality without Entanglement," Phys. Rev. A 59, 1070 (1999). These have also been called "exposed variable" theories by Bell, see J.S. Bell, Speakable and Unspeakable in Quantum Mechanics, Cambridge University Press, p. 201 (1987) and cf. D.M. Appleby, "The Bell-Kochen-Specker Theorem," quant-ph/0308114.
14. W.K. Wootters and W. Zurek, "A Single Quantum Cannot Be Cloned," Nature (London) 290, 802-803 (1982).
15. D. Dieks, "Communication by EPR Devices," Physics Letters A 92, 271-272 (1982).
16. C.H. Bennett, G. Brassard, and N.D. Mermin, "Quantum cryptography without Bell's theorem," Phys. Rev. Lett. 68, 557-559 (1992).
17. C.H. Bennett, G. Brassard, C. Crepeau and U. Maurer, "Privacy Amplification," IEEE Trans. Info. Theo. 41, 1915 (1995).
18. J. Bub, private communication (2001).
19. A. Harrow, private communication (2002).
20. D. Mayers and A. Yao, "Quantum Cryptography with Imperfect Apparatus," Proceedings of the 30th IEEE Conference on Foundations of Computer Science, 1993, also available as quant-ph/9809039.
21. D. Mayers and A. Yao, "Self testing quantum apparatus," QIC, Vol 4. No. 4, July 5, 2004 (pp. 273-286) also available as quant-ph/0307205.
22. A.K. Ekert, "Quantum cryptography based on Bell's theorem," Phys. Rev. Lett. 67, 661-663 (1991).
23. M.N. Wegman and J.L. Carter, "New Hash Functions and Their Use in Authentication and Set Equality," J. of Computer Science and System Sciences, 22 (1981) p. 265-79.
24. H.-K. Lo and H.F. Chau, "Unconditional Security of Quantum Key Distribution over Arbitrarily Long Distances," Science 283 (1999) 2050-2056, also quant-ph/9803006.
25. R.W. Spekkens, "In defense of the epistemic view of quantum states: a toy theory," quant-ph/0401052.