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International Journal of Quantum Information

QUANTUM KEY DISTRIBUTION BASED ON ENTANGLEMENT SWAPPING BETWEEN TWO BELL STATES

Fen-Zhuo Guo, Tailin Liu, Qiaoyan Wen, Fu-Chen Zhu

Published Oct 1, 2006• 8 citations
Publisher

Abstract

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.

DOI
10.1142/s0219749906002249

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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.
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.
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 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.
A two-step channel-encrypting quantum key distribution protocol is proposed. Using the previously shared EPR pairs as the quantum key, two bits of classical key can be established via one information carrier EPR state on average. In theory, the efficiency of this protocol reaches 100%, and there is no need to consume any entangled states including both the quantum key and the information carriers in ideal condition. The protocol can resist the particular attack that is fatal to other some channel-encrypting schemes. Principally, we prove the security against the most general individual attack of this protocol. Entanglement collapse in practical situation, as well as the realistic implementation of this protocol is also discussed.
This paper investigates a novel approach to enhancing cryptographic key distribution using entanglement swapping. Current quantum key distribution (QKD) protocols are often limited by distance due to signal loss and decoherence during the direct transmission of entangled photons. This research proposes a protocol that overcomes these limitations by employing entanglement swapping, effectively extending the range of secure key exchange. The core of the method involves strategically swapping entangled pairs to create correlated states between distant parties, circumventing the need for direct transmission over long distances. Mathematical formulations detailing the protocol's key steps, including the quantum operations and measurement outcomes, are presented. The analysis demonstrates a pathway towards significantly increasing the practical range of QKD systems, offering a potential solution for secure communication over greater distances. The theoretical framework presented here lays the groundwork for future experimental implementations and further optimization of entanglement swapping protocols for enhanced QKD performance.