Quantum cryptography

A method of establishing a shared secret random cryptographic key between a sender and a recipient using a quantum communications channel is described. The method comprises: generating a plurality of random quantum states of a quantum entity, each random state being defined by a randomly selected on...

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Main Authors Kent, Adrian Patrick, Munro, William John, Spiller, Timothy Paul, Beausoleil, Raymond G
Format Patent
LanguageEnglish
Published 19.07.2011
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Abstract A method of establishing a shared secret random cryptographic key between a sender and a recipient using a quantum communications channel is described. The method comprises: generating a plurality of random quantum states of a quantum entity, each random state being defined by a randomly selected one of a first plurality of bases in Hilbert space, transmitting the plurality of random quantum states of the quantum entity via the quantum channel to a recipient, measuring the quantum state of each of the received quantum states of the quantum entity with respect to a randomly selected one of a second plurality of bases in Hilbert space, transmitting to the recipient composition information describing a subset of the plurality of random quantum states, analysing the received composition information and the measured quantum states corresponding to the subset to derive a first statistical distribution describing the subset of transmitted quantum states and a second statistical distribution describing the corresponding measured quantum states, establishing the level of confidence in the validity of the plurality of transmitted random quantum states by verifying that the first and second statistical distributions are sufficiently similar, deriving a first binary sting and a second binary string, correlated to the first binary string, respectively from the transmitted and received plurality of quantum states not in the subset, and carrying out a reconciliation of the second binary string to the first binary string by using error correction techniques to establish the shared secret random cryptographic key from the first and second binary strings.
AbstractList A method of establishing a shared secret random cryptographic key between a sender and a recipient using a quantum communications channel is described. The method comprises: generating a plurality of random quantum states of a quantum entity, each random state being defined by a randomly selected one of a first plurality of bases in Hilbert space, transmitting the plurality of random quantum states of the quantum entity via the quantum channel to a recipient, measuring the quantum state of each of the received quantum states of the quantum entity with respect to a randomly selected one of a second plurality of bases in Hilbert space, transmitting to the recipient composition information describing a subset of the plurality of random quantum states, analysing the received composition information and the measured quantum states corresponding to the subset to derive a first statistical distribution describing the subset of transmitted quantum states and a second statistical distribution describing the corresponding measured quantum states, establishing the level of confidence in the validity of the plurality of transmitted random quantum states by verifying that the first and second statistical distributions are sufficiently similar, deriving a first binary sting and a second binary string, correlated to the first binary string, respectively from the transmitted and received plurality of quantum states not in the subset, and carrying out a reconciliation of the second binary string to the first binary string by using error correction techniques to establish the shared secret random cryptographic key from the first and second binary strings.
Author Beausoleil, Raymond G
Munro, William John
Spiller, Timothy Paul
Kent, Adrian Patrick
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References Franson (6678450) 20040100
Bennett, C.H., et, al., "Quantum Cryptology and Its Application to Provably Secure Key Expansion, Public-Key Distribution and Coin-Tossing", IEE International Symposium on Information Theory Abstract (1983), p. 91. (This reference provided as substitute for the citation on p. 3, line 11 of the specification which cannot be located).
Maurer, Ueli M., "Secret Key Agreement by Public Discussion from Common Information", IEEE Transactions on Information Theory, vol. 39, No. 3, May 1993, pp. 733-742.
Nielsen, Michael, et al., "Quantum Computation and Quantum Information" (Chapter 7), Cambridge University Press (2000), pp. 277-352.
Bennett, Charles H., et al., "Generalized Privacy Information", IEEE Transactions on Information Theory, vol. 41, No. 6, Nov. 1995, pp. 1915-1923.
Bennett et al., "Experimental Quantum Cryptography", Sep. 1991, pp. 1-28, obtained from http://cs.uccs.edu/˜cs691/crypto/BBBSS92.pdf.
Black et al., "Quantum Computing and Communication", Feb. 20, 2002, pp. 1-52, obtained from http://hissa.nist.gov/˜black/Papers/quantumCom.pdf, date obtained from http://en.scientificcommons.org/563634.
Sych et al., "Quantum cryptography with continuous alphabet", Apr. 4, 2003, pp. 1-14, obtained from http://arxiv.org/PS-cache/quant-ph/pdf/0304/0304035v1.pdf.
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