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arXiv:quant-ph/0501175 · Physical Review A

Security improvement by using a modified coherent state for quantum cryptography

Y. J. Lu, Luobei Zhu, Z. Y. Ou

Published Mar 16, 2005• 21 citations
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Abstract

Weak coherent states as a photon source for quantum cryptography have a limit in secure data rate and transmission distance because of the presence of multiphoton events and loss in transmission line. Two-photon events in a coherent state can be taken out by a two-photon interference scheme. We investigate the security issue of utilizing this modified coherent state in quantum cryptography. A 4-dB improvement in the secure data rate or a nearly twofold increase in transmission distance over the coherent state are found. With a recently proposed and improved encoding strategy, further improvement is possible.

DOI
10.1103/physreva.71.032315

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Weak coherent states as a photon source for quantum cryptography have a limit in secure data rate and transmission distance because of the presence of multiphoton events and loss in transmission line. Two-photon events in a coherent state can be taken out by a two-photon interference scheme. We investigate the security issue of utilizing this modified coherent state in quantum cryptography. A 4-dB improvement in the secure data rate or a nearly twofold increase in transmission distance over the coherent state are found. With a recently proposed and improved encoding strategy, further improvement is possible.
A modified coherent state is created by mixing a coherent state with optical field from parametric down-conversion in a beam splitter. A two-photon interference effect will cancel the two-photon state. This modified coherent state has ad-vantage over the conventional weak coherent state currently used widely in quantum cryptography. We make numerical analysis on the improvement in secure data rate and transmission distance with the modified coherent state. With a three-photon interference effect to cancel the three-photon state, further improvement is shown to be possible in a newly proposed protocol for quantum cryptography.
To increase the security distance of quantum communication,a new scheme of decoy state quantum key distribution with a modified coherent state is proposed.The probability of multi-photon pulse in weak coherent source can be decreased by canceling two photon pulses to improve the security distance.Based on the math model of the decoy state QKD,the formula for the yield and error rate of the single photon pulse with the Modified Coherent State is deduced,and substituted in GLLP to calculate the generation rate of quantum keys.Results show that the decoy state with the Modified Coherent State can increase the secure communication distance about 10%,which is very close to that of the perfect decoy state QKD.
In practical quantum key distribution (QKD), weak coherent states as the photon source have a limit in the secure key rate and transmission distance because of the existence of multi-photon pulses and heavy loss in transmission line. The decoy-state method and the nonorthogonal encoding protocol are two important methods to combat these effects. Here, we combine both the methods and propose an efficient method that can substantially improve the performance of QKD. We find a 78-km increase over the prior record using the decoy-state method and a 123-km increase over the result of the SARG04 protocol in transmission distance.
The cryptographic communication has a lot of important applications, particularly in the magnificent prospects of private communication. As one knows, the security of cryptographic channel depends crucially on the secrecy of the key. The Vernam cipher is the only cipher system which has guaranteed security. In that system the key must be as long as the message and most be used only once. Quantum cryptography is a method whereby key secrecy can be guaranteed by a physical law. So it is impossible, even in principle, to eavesdrop on such channels. Quantum cryptography has been developed in recent years. Up to now, many schemes of quantum cryptography have been proposed. Now one of the main problems in this field is how to increase transmission distance. In order to use quantum nature of light, up to now proposed schemes all use very dim light pulses. The average photon number is about 0.1. Because of the loss of the optical fiber, it is difficult for the quantum cryptography based on one photon level or on dim light to realize quantum key-distribution over long distance. A quantum key distribution based on coherent state is introduced in this paper. Here we discuss the feasibility and security of this scheme.