A p-version finite element method for nonlinear elliptic by Krebs A., Stephan E.P.

By Krebs A., Stephan E.P.

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H. Zurek, Nature, 299,802 (1982). 22. D. Dieks, Phys. Lett. A 92,271 (1982). 23. C. H. Bennett, F. Bessette, G. Brassard, L. Savail and J. Smolin, J. Cryptology 5,3 (1992). 24. C. H. Bennett, International Business Machines Corporation, “Interferometric quantum cryptographic key distribution system,” United States Patent Number 5,307,410 (April 26, 1994). 25. A. Muller, H. Zbinden and N. Gisin, Europhys. Lett. 33,335 (1996). 26. H. Zbinden, J. D. Gautier, N. Gisin, B. Huttner, A. Muller and W. Tittel, Electron.

Provided that an eavesdropper, Eve, has no information about the key, she cannot decipher the encoded message. To her it will look like a random string of bits; she needs the key to crack the encoding. The security of the message thus reduces to the security of the key. Herein lies a problem, though, because if Alice and Bob share the key as ordinary classical information they cannot be sure that nobody else has shared their supposedly secret key. In principle, Eve can read a classical key without leaving any evidence at all of her snooping.

M. Itano, C. Monroe, D. J. Wineland, “Cooling the Collective Motion of Trapped Ions to Initialize a Quantum Register,” preprint quantph/9803023. 57. Q. A. Turchette, C. S. Wood, B. E. King, C. J . Myatt, D. Leibfried, W. M. Itano, C. Monroe and D. J. Wineland, “Deterministic entanglement of two trapped ions,” preprint quant-ph/9806012. 58. R. Laflamme, E. Knill, W. H. Zurek, P. Catasti and S. V. S. Mariappan, “NMR GHZ,” preprint quant-ph/9709025. 59. D. M. Greenberger, M. Horne and A. Zeilinger in Bell’s theorem, quantum mechanics and conceptions of the universe, ed.

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