Unifying classical and quantum key distillation

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 4392 LNCS, Issue , 2007, Pages 456-478

  Christandl, Matthias ^a   Ekert, Artur ^a,b   Horodecki, Michał ^c   Horodecki, Pawel ^d   Oppenheim, Jonathan ^a   Renner, Renato ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c UNIVERSITY OF GDA SK   (Poland)

^d GDANSK UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

AUTHENTICATION; CORRELATION METHODS; NETWORK PROTOCOLS;

CLASSICAL COMMUNICATION; CLASSICAL MEMORY; TRIPARTITE STATE;

QUANTUM CRYPTOGRAPHY;

EID: 38049009328     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-70936-7_25     Document Type: Conference Paper

References (42)

1. Shannon, C.E.: Communication theory of secrecy systems. Bell Systems Technical Journal 28 (1949) 656-715
2. Maurer, U.M.: Secret key agreement by public discussion from common information. IEEE Transactions on Information Theory 39 (1993) 733-742
3. Csiszár, I., Körner, J.: Broadcast channels with confidential messages. IEEE Trans. Inf. Theory 24 (1978) 339-348
4. Ahlswede, R., Csiszár, I.: Common randomness in information theory and cryptography. IEEE Transactions on Information Theory 39 (1993) 1121-1132
5. Bennett, C.H., Brassard, G.: Quantum cryptography: Public key distribution and coin tossing. In: Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India, December 1984, IEEE Computer Society Press, New York (1984) 175-179
6. Ekert, A.: Quantum cryptography based on Bell's theorem. Phys. Rev. Lett 67 (1991) 661-663
7. Renner, R., Wolf, S.: New bounds in secret-key agreement: the gap between formation and secrecy extraction. In: Proceedings of EUROCRYPT 2003. Lecture Notes in Computer Science, Springer (2003) 562-577
8. Wyner, A.D.: The wire-tap channel. Bell System Technical Journal 54 (1975) 1355-1387
9. Gisin, N., Wolf, S.: Linking classical and quantum key agreement: is there 'bound information'. In: Advances in Cryptology -CRYPTO 2000. Lecture Notes in Computer Science, Springer (2000) 482-500
10. Devetak, I., Winter, A.: Distillation of secret key and entanglement from quantum states. Proc. Roy. Soc. Lond. Ser. A 461 (2004) 207-235
11. Renner, R., König, R.: Universally composable privacy amplification against quantum adversaries. In: Second Theory of Cryptography Conference, TCC 2005. Volume 3378 of Lecture Notes in Computer Science., Springer (2005) 407-425
12. Cerf, N.J., Massar, S., Schneider, S,: Multipartite classical and quantum secrecy monotones. Phys. Rev. A 66 (2002) 042309
13. Maurer, U., Wolf, S.: The intrinsic conditional mutual information and perfect secrecy. In: Proceedings of the 1997 IEEE Symposium on Information Theory. (1997) 88
14. Horodecki, M.: Entanglement measures. Quantum Inf. Comp. 1 (2001) 3-26
15. Horodecki, K., Horodecki, M., Horodecki, P., Oppenheim, J.: Secure key from bound entanglement. Phys. Rev. Lett 94 (2005) 160502
16. DiVincenzo, D., Horodecki, M., Leung, D., Smolin, J., Terhal, B.: Locking classical correlation in quantum states. Phys. Rev. Lett 92 (2004) 067902
17. Maurer, U., Wolf, S.: Information-theoretic key agreement: From weak to strong secrecy for free. In: Advances in Cryptology -EUROCRYPT 2000. Volume 1807 of Lecture Notes in Computer Science., Springer (2000) 351-368
18. Renner, R.: Security of Quantum Key Distribution. PhD thesis, Swiss Federal Institute of Technology (ETH) Zurich (2005) quant-ph/0512258.
19. Christandl, M., Renner, R.: On intrinsic information. In: Proceedings of the 2004 IEEE International Symposion on Information Theory. (2004) 135
20. Ben-Or, M., Horodecki, M., Leung, D.W., Mayers, D., Oppenheim, J.: The universal composable security of quantum key distribution. In: Second Theory of Cryptography Conference, TCC 2005. Lecture Notes in Computer Science (2005) 386-406
21. König, R., Renner, R., Bariska, A., Maurer, U.: Locking of accessible information and implications for the security of quantum cryptography, (quant-ph/0512021)
22. Horodecki, K., Horodecki, M., Horodecki, P., Oppenheim, J.: General paradigm for distilling classical key from quantum states, quant-ph/0506189 (2005)
23. Horodecki, M., Horodecki, P., Horodecki, R.: Limits for entanglement measures. Phys. Rev. Lett 84 (2000) 2014
24. Donald, M., Horodecki, M., Rudolph, O.: The uniqueness theorem for entanglement measures. J. Math. Phys. 43 (2002) 4252-4272
25. Vidal, G., Werner, R.: A computable measure of entanglement. Phys. Rev. A 65 (2002) 032314
26. Moroder, T., Curty, M., Lütkenhaus, N.: Upper bound on the secret key rate distillable from effective quantum correlations with imperfect detectors. Phys. Rev. A 73 (2006) 012311
27. Christandl, M., Winter, A.: Squashed entanglement -an additive entanglement measure. J. Math. Phys. 45 (2004) 829-840
28. Alicki, R., Fannes, M.: Continuity of conditional quantum mutual information. J. Phys. A 37 (2003)
29. Christandl, M.: The Structure of Bipartite Quantum States: Insights from Group Theory and Cryptography. PhD thesis, University of Cambridge (2006)
30. Renner, R., Wolf, S.: New bounds in secret-key agreement: The gap between formation and secrecy extraction. In: Advances in Cryptology - EUROCRYPT 2003, Lecture Notes in Computer Science, Springer (2003)
31. Vedral, V., Plenio, M.B., Rippin, M.A., Knight, P.L.: Quantifying entanglement. Phys. Rev. Lett 78 (1997) 2275-2279
32. Vedral, V., Plenio, M.B.: Entanglement measures and purification procedures. Phys. Rev. A 57 (1998) 1619-1633
33. Horodecki, K., Horodecki, M., Horodecki, P., Oppenheim, J.: Locking entanglement with a single qubit. Phys. Rev. Lett 94 (2005) 200501
34. Christandl, M., Winter, A.: Uncertainty, monogamy and locking of quantum correlations. IEEE Transactions on Information Theory 51 (2005) 3159-3165 quant-ph/0501090.
35. Bennett, C.H., DiVincenzo, D.P., Fuchs, C.A., Mor, T., Rains, E., Shor, P.W., Smolin, J., Wootters, W.K.: Quantum nonlocality without entanglement. Phys. Rev. A 59 (1999) 1070
36. Badzia̧g, P., Horodecki, M., Sen(De), A., Sen, U.: Universal Holevo-like bound for locally accesible information. Phys. Rev. Lett 91 (2003) 117901
37. Acin, A., Cirac, I., Massanes, L.: Multipartite bound information exists and can be activated. Phys. Rev. Lett. 92 (2004) 107903
38. Bennett, C.H., DiVincenzo, D.P., Smolin, J., Wootters, W.K.: Mixed-state entanglement and quantum error correction. Phys. Rev. A 54 (1997) 3824-3851
39. Christandl, M.: The quantum analog to intrinsic information. Diploma Thesis, Institute for Theoretical Computer Science, ETH Zurich (2002)
40. Renner, R.: Linking information theoretic secret-key agreement and quantum purification. Diploma Thesis, Institute for Theoretical Computer Science, ETH Zurich (2000)
41. Horodecki, P., Lewenstein, M.: Bound entanglement and continuous variables. Phys. Rev. Lett 85 (2000) 2657
42. Winter, A.: Secret, public and quantum correlation cost of triples of random variables. In: Proceedings of the 2005 IEEE International Symposium on Information Theory. (2005) 2270-2274