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International Journal of Modern Physics C

EFFICIENT QUANTUM KEY DISTRIBUTION SCHEME USING THE BELL STATE MEASUREMENT

Xiaoyu Li

Published Jul 1, 2003• 19 citations
Publisher

Abstract

In this paper we provide a quantum key distribution (QKD) scheme based on the correlations of Einstein–Podolsky–Rosen (EPR) pairs. The scheme uses an auxiliary qubit to interact with the EPR pair and does the Bell state measurement to get the key. It is proved to be secure. All EPR pairs are used in distributing the key except some error-checking bits. So it is efficient. On the other hand there are less classical communications needed in the scheme.

DOI
10.1142/s0129183103004887

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In this paper we provide a quantum key distribution (QKD) scheme based on the correlations of Einstein–Podolsky–Rosen (EPR) pairs. The scheme uses an auxiliary qubit to interact with the EPR pair and does the Bell state measurement to get the key. It is proved to be secure. All EPR pairs are used in distributing the key except some error-checking bits. So it is efficient. On the other hand there are less classical communications needed in the scheme.
Entanglement swapping between Einstein-Podolsky-Rosen (EPR) pairs can be used to generate the same sequence of random bits in two remote places. A quantum key distribution protocol based on this idea is described. The scheme exhibits the following features. (a) It does not require that Alice and Bob choose between alternative measurements, therefore improving the rate of generated bits by transmitted qubit. (b) It allows Alice and Bob to generate a key of arbitrary length using a single quantum system (three EPR pairs), instead of a long sequence of them. (c) Detecting Eve requires the comparison of fewer bits. (d) Entanglement is an essential ingredient. The scheme assumes reliable measurements of the Bell operator.
Quantum key distribution (QKD) is used in quantum cryptographic systems to exchange secret key between parties who need to communicate secretly. According to the structure of European Secoqc QKD network, a QKD protocol is proposed. Entanglement swapping between Einstein-Podolsky-Rosen (EPR) pairs can be used to exchange message bits in two remote places. Based on this idea, n + 1 EPR pairs are used as logical quantum channel (for n nodes per routing), while measurements of Bell operator are transmitted by classical channel. Random space quantum channel selection is exploited in our protocol to improve the probability of revealing Eve. Compared with traditional EPR protocol, the proposed protocol exhibits many features, which are minutely described.
A quantum key distribution protocol with traditional Bob has been proposed recently by Boyer et al. using single-particle state.In this paper, a semi-quantum key distribution protocol is described, in which Einstein-Podolsky-Rosen (EPR) pairs of particles are utilized to generate a secret key in remote places.This extends the quantum key distribution protocol with traditional Bob where the single-qubit channel is replaced by the entangled EPR-pair channel.And quantum Alice is able to do any quantum operations, preparing quantum states and performing quantum measurement, but traditional Bob is not able to prepare and measure a particle in the computational basis, reflect the particles.Furthermore, entanglement states are used in our protocol.The analysis shows that our protocol is secure, which can avoid the beam splitter attack automatically, and the proposed protocol is more efficient than Boyer's scheme.