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2001 | 100 | Supplement | 43-56
Article title

Quantum Information Theory and Geometry of Quantum States

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EN
Abstracts
EN
The advantages of quantum information processing and transmission over corresponding classical operations are connected to the existence in composite quantum-mechanical systems states without classical counterparts - the so-called entangled states. The paper shows and examines various applications of entangled states in the quantum information theory. Recent results connected with characterization and geometry of entangled states are examined with the emphasis on some unsolved mathematical problems.
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Contributors
author
  • Centrum Fizyki Teoretycznej, Polska Akademia Nauk, al. Lotników 32/46, 02-668 Warszawa, Poland
References
  • 1. P.W. Shor, in: Proc. 35th Annual Symp. on Foundations of Computer Science, IEEE Computer Society Press, Santa Fe 1994, p. 124
  • 2. C.H. Bennet, G. Brassard, S. Briedbart, S. Wiesner, in: Advances in Cryptology: Proc. Crypto '82, Plenum Press, New York 1982, p. 267
  • 3. A. Ekert, Phys. Rev. Lett., 67, 661, 1991
  • 4. L.K. Grover, Phys. Rev. Lett., 79, 325, 1997
  • 5. C.H. Bennet, S.J. Wiesner, Phys. Rev. Lett., 69, 2881, 1992
  • 6. C.H. Bennet, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, W.K. Wootters, Phys. Rev. Lett., 70, 1895, 1993
  • 7. A. Einstein, B. Podolsky, N. Rosen, Phys. Rev., 47, 777, 1935
  • 8. D. Bohm, Quantum Theory, Dover, New York 1989
  • 9. J.S. Bell, Physics, 1, 195, 1964
  • 10. J.F. Clauser, M.A. Horne, A. Shimony, R.A. Holt, Phys. Rev. Lett., 23, 880, 1969
  • 11. A. Aspect, J. Dalibard, G. Roger, Phys. Rev. Lett., 49, 1804, 1982
  • 12. D. Deutsch, R. Jozsa, Proc. R. Soc. Lond. A, 439, 553, 1992
  • 13. V. Vedral, M. Plenio, Prog. Quantum Electron., 22, 1, 1998
  • 14. R.F. Werner, Phys. Rev. A, 40, 4277, 1989
  • 15. R.A. Horn, C.R. Johnson, Topics in Matrix Analysis, Cambridge University Press, Cambridge 1991
  • 16. A. Peres, Phys. Rev. Lett., 77, 1413, 1996
  • 17. M. Horodecki, P. Horodecki, R. Horodecki, Phys. Lett. A, 223, 1, 1996
  • 18. M. Lewenstein, D. Bruss, J.I. Cirac, B. Kraus, M. Kuś, J. Samsonowicz, A. Sanpera, R. Tarrach, J. Mod. Opt., 47, 2481, 2000
  • 19. V. Vedral, M.B. Plenio, Phys. Rev. A, 57, 1619, 1998
  • 20. W.K. Wootters, Phys. Rev. Lett., 80, 2245, 1998
  • 21. M. Lewenstein, A. Sanpera, Phys. Rev. Lett., 80, 2261, 1998
  • 22. T. Wellens, M. Kuś, Phys. Rev. A, 64, 052302, 2001
  • 23. M. Kuś, K. Życzkowski, Phys. Rev. A, 63, 032307, 2001
  • 24. M.M. Sinołęcka, K. Życzkowski, M. Kuś, to be published
  • 25. P. Heinzner, A.T. Huckleberry, M. Kuś, K. Życzkowski, unpublished
Document Type
Publication order reference
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YADDA identifier
bwmeta1.element.bwnjournal-article-appv100n703kz
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