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arXiv:quant-ph/0412014

A quantum key distribution and identification protocol based on entanglement swapping

Fei Gao, Fen-Zhuo Guo, Qiaoyan Wen, Fu-Chen Zhu

Published Dec 2, 2004• 1 citation
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Abstract

A quantum key distribution and identification protocol is proposed, which is based on entanglement swapping. Through choosing particles by twos from the sequence and performing Bell measurements, two communicators can detect eavesdropping, identify each other and obtain the secure key according to the measurement results. Because the two particles measured together are selected out randomly, we need neither alternative measurements nor rotation of the Bell states. Furthermore, less Bell measurements are needed in our protocol than in the previous similar ones.

DOI
10.48550/arxiv.quant-ph/0412014

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A quantum key distribution and identification protocol is proposed, which is based on entanglement swapping. Through choosing particles by twos from the sequence and performing Bell measurements, two communicators can detect eavesdropping, identify each other and obtain the secure key according to the measurement results. Because the two particles measured together are selected out randomly, we need neither alternative measurements nor rotation of the Bell states. Furthermore, less Bell measurements are needed in our protocol than in the previous similar ones.
In order to improve the security and efficiency of quantum key distribution protocol,a protocol was proposed based on entanglement swapping.The two parties of communication establish the key by performing the Bell state measurement.No other people can get the key without being found.Different from the proposed protocol,the Bell measurement of any two Bell states can be realized to achieve the purpose of quantum key distribution.It does not need multi-particle entangled state but only EPR pair to realize the protocol.Analysis results showed that this protocol not only ensures the security of the quantum key shared information,but also uses the entanglement states of two photons without unitary operation. And the protocol is simple and efficient.
In order to enhance the efficiency of quantum key distribution( QKD),a protocol based on entanglement swapping is proposed. Without classical information exchange or unitary operations,the two communication parts can securely share a session key by entanglement swapping and Bell measurement. Almost all qubits,except a few which are used to check the security of quantum channel,can produce the private key,and two pairs of entangled particles can generate two bits private key. The protocol is proved to secure using Stinespring Dilation Theorem and the efficiency analysis is presented.
Based on entanglement swapping between two Bell states, two novel quantum key distribution protocols are proposed. One is for two-level systems, where there is no need for classical communication before each entanglement swapping. This feature is essential to its practical realization. Furthermore, to establish an arbitrarily long key, the protocol needs only two Bell states. The other is for d-level (d > 2) systems, in which higher security and higher source capacity are achieved. Using the theory of quadratic residue, we prove that in the two-qudit systems, each Bell state is a uniform superposition of all basis states in the dual basis, which is different to the situation in two-qubit systems. This difference means our two-level protocol cannot be generalized to the d-level situation directly. On the other hand, it results in higher security of our d-level protocol and is instructive to design quantum cryptography protocols.
Entanglement swapping between 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 improves the rate of generated bits for 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.
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.
A new protocol was proposed in which the quantum entangled states was used for quantum key distribution (QKD) and the quantum non-orthogonal states was used for user identification from eavesdropping as well. Both the two states were mixed as alternative form much or less in transmission via a quantum channel. Consequently, there was no need to transmit the classical information in identification process for dual contributions of non-orthogonal states. And the efficiency of QKD was got improved in the mean time. In addition, QKD and identification were completed simultaneously, so that the problem of impersonation was avoided.