A. Ekert. Quantum cryptography based on Bell's theorem. Phys. Rev. Lett., 67:661-663, 1991.  Home/Search   Document Not in Database   Summary   APS   Related Articles   Check

....tappa iro.umontreal.ca. Part of this research was done while working at Department of Combinatorics and Optimization, University of Waterloo and McGill University. 1 Introduction For a long time, the expression quantum cryptography primarily referred to the quantum key distribution protocols [4, 3, 12]. However, these words now refer to a larger set of problems involving both classical and quantum data. Quantum key distribution and many other quantum protocols attempt to provide improved security for tasks involving classical information. An emerging division of quantum cryptography instead ....

A. K. Ekert. "Quantum cryptography based on Bell's theorem", Physical Review Letters, vol.67 pp.661 - 663, (1991).

....e mail: tappa iro.umontreal.ca. Part of this research was done while working at Department of Combinatorics and Optimization, University of Waterloo and McGill University. 1 Introduction Until recently, the expression quantum cryptography referred mostly to quantum key distribution protocols [5, 4, 13]. However, these words now refer to a larger set of problems. While QKD and many other quantum protocols attempt to provide improved security for tasks involving classical information, an emerging area of quantum cryptography attempts instead to create secure protocols for tasks involving quantum ....

A. K. Ekert. "Quantum cryptography based on Bell's theorem", Physical Review Letters, vol.67 pp.661 - 663, (1991).

.... these are: ffl BB protocol: Cryptosystems with encoding based on two non commuting observables proposed by Wiesner (1970) and by Bennett and Brassard (1984) 89] ffl EPR type: Cryptosystems with encoding built upon quantum entanglement and the Bell Theorem proposed by Ekert (1990) [42]. ffl B type: Cryptosystems with encoding based on two non orthogonal state vectors proposed by Bennett (1992) 3] 34 A BB quantum cryptosystem can be explained using the following simple example. The system includes a transmitter, Alice, and a receiver, Bob. Alice may use the transmitter to ....

A. K. Ekert. Quantum cryptography based on Bell's theorem. Phys. Rev. Lett., 67 (1991), 661-663.

.... information using quantum two level systems (qubits) instead of classical bits, has lead to many surprising results such as exponentially fast quantum algorithms, teleportation of unknown states, and quantum cryptography which was originated by Wiesner, Bennett, and Brassard (see for instance [2, 3, 4, 5, 6]. Quantum key distribution was invented in 1984 [3] to 1 provide a new type of solution to one of the most important cryptographic problems: the transmission of secret messages. A key distributed via quantum cryptography techniques can be secure even against an eavesdropper with unlimited ....

A. Ekert, Quantum cryptography based on Bell's theorem, Phys. Rev. Lett., 67(1991), 661--663.

....a private key of size O(m s) which is optimal for schemes which provide both encryption and authentication. Keywords. Authentication, quantum information. 1 Introduction For a long time, the expression Quantum Cryptography primarily referred to the Quantum Key Distribution protocols [4, 3, 9]. However, these words nowadays refer to a larger set of problems involving quantum data, such as encryption or authentication of quantum messages. This paper is concerned with this last problem. A key ingredient behind most recent work in quantum cryptography is the concept of quantum ....

A. K. Ekert. "Quantum cryptography based on Bell's theorem", Physical Review Letters, vol.67 pp.661 - 663, (1991). 11

....a quantum state from the environment for long time periods. However, Bennett and Brassard realized that instead of using single quanta for information storage they could be used for information transmission. In 1984 they published the first quantum cryptography protocol now known as BB84 . [4] A further advance in theoretical quantum cryptography took place in 1991 when Ekert proposed[5] that Einstein Podolsky Rosen (EPR) entangled two particle states could be used to implement a quantum cryptography protocol whose security was based on Bell s inequalities. Starting in 1989, Bennett, ....

A. K. Ekert, "Quantum Cryptography Based on Bell's Theorem," Phys. Rev. Lett. 67, 661 (1991).

....later, followed by a few others. But until the early 1990 s, no more than a handful of people were involved in quantum cryptographic research. Since then, the field has taken off with a vengeance, starting with Artur K. Ekert s proposal to use quantum nonlocality for cryptographic purposes [33]. The golden age started in earnest when Ekert organized the first international workshop on quantum cryptography in Broadway, England, in 1993. Since then, many conferences have been devoted at least partly to quantum cryptography, which has become a major This column borrows heavily from the ....

....and Hrub y studied the use of q deformed quantum mechanics [45] In addition to alternative implementation proposals for BB84 and B92, genuinely different quantum key distribution protocols have been proposed. We already mentioned Ekert s idea to base quantum cryptography on quantum nonlocality [33]. New and exciting ideas from David Deutsch, Artur K. Ekert, Richard Jozsa, Chiara Macchiavello, Sandu Popescu and Anna Sanpera in Oxford [32] proved wrong earlier claims that the use of nonlocality held no significant benefit over the original BB84 protocol [11] In particular, the use of ....

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Ekert, A. K., "Quantum cryptography based on Bell's theorem", Physical Review Letters, Vol. 67, no. 6, 5 August 1991, pp. 661 -- 663.

.... to implement oblivious transfer in a strong way (Wiesner s original multiplexing channel could leak information on both channels) zero knowledge protocols, and secure two party computation [17, 16] More recently, Ekert proposed an alternative approach to implement quantum key distribution [19] (making use of EPR and Bell s theorem) but a simplified and no less secure version of his scheme is shown in [10] to be equivalent to the idealized quantum key distribution protocol originally put forward by Bennett and Brassard in 1984 [3] Let us also mention that Bennett, Brassard, ....

Ekert, A., "Quantum cryptography based on Bell's theorem", Physical Review Letters, Vol. 67, no. 6, 5 August 1991, pp. 661 -- 663.

....presence by an unusual erasure rate for Bob. However, Ekert et al. [55] do point out that Eve can choose eavesdropping strategies which have no effect on the erasure rate, and hence, can only be detected by unusual error rates in Bob s raw key 6 . 6 EPR quantum cryptographic protocols Ekert in [60] has devised a quantum protocol based on the properties of quantum correlated particles. Einstein, Podolsky, and Rosen (EPR) in the their famous 1935 paper [64] challenged the foundations of quantum mechanics by pointing out a paradox. There exist spatially separated pairs of particles, ....

Ekert, Artur K., Quantum cryptography based on Bell's theorem, Physical Review Letters, Vol. 67, No. 6, 5 August 1991, pp 661 - 663.

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A. K. Ekert. Quantum cryptography based on Bell's theorem. Phys. Rev. Lett., 67(6):661, 1991.

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A. Ekert. Quantum cryptography based on Bell's theorem. Phys. Rev. Lett., 67:661-663, 1991.

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A. K. Ekert, Quantum cryptography based on Bell's theorem. Physical Review Letters 67, 661--663 (1991).

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A. Ekert. Quantum cryptography based on Bell's theorem. Phys. Rev. Lett., 67:661--663, 1991.

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Artur Ekert, \Quantum cryptography based on Bell's theorem", Physical Review Letters, 67(6, 5), 1991. 15

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A. K. Ekert, "Quantum Cryptography Based on Bell's Theorem," Phys. Rev. Lett. 67, 661 (1991).

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