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Communications in Theoretical Physics

Measuring-Basis Encrypted Quantum Key Distribution with Four-State Systems

Chen Pan, Yansong Li, Deng Fu-Guo, Long Gui-Lu

Published Jan 1, 2007• 21 citations
Publisher

Abstract

A measuring-basis encrypted quantum key distribution scheme is proposed by using twelve nonorthogonal states in a four-state system and the measuring-basis encryption technique. In this scheme, two bits of classical information can be encoded on one four-state particle and the transmitted particles can be fully used.
DOI
10.1088/0253-6102/47/1/011

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In this paper, we propose a software implementation of Quantum Key Distribution scheme using twelve orthogonal states in a four-state system. With the twelve states, the Sender can encode two bits classical information in one particle, and distribute her secret key to the Receiver. This study explores quantum alternatives to traditional key distribution protocols, and involves implementations of quantum key distribution protocol on two cases: with and without cyber-attacks (the Intercept-Resend attack).
A quantum key distribution protocol, based on the quantum dense encoding in entangled states, is presented. In this protocol, we introduce an encoding process to encode,two classical bits information into one of the four one-qubit unitary operations implemented by Alice and the Bell states measurement implemented by Bob in stead of direct measuring the previously shared Einstein-Podolsky-Rosen pairs by both of the distant parties, Alice and Bob Considering the practical application we can get the conclusion that our protocol has some advantages. It not only simplifies the measurement which may induce potential errors, but also improves the effectively transmitted rate of the generated qubits by the raw key. Here we also discuss eavesdropping attacks against the scheme and the channel loss.
We present a scheme for quantum secure direct communication with quantum encryption following some ideas in the Zhang-Li-Guo quantum key distribution scheme [Phys. Rev. A \\textbf{64}, 024302 (2001)]. Instead of the bilateral rotation operations before each round of the transmission, the two parties of communication perform a single-particle measurement on some samples chosen randomly from the quantum key, the Einstein-Podolsky-Rosen pairs shared, with the two measuring bases sigmaz\\sigma_zsigmaz​ and sigmax\\sigma_xsigmax​. The quantum key can be used repeatedly for transmitting a secret message securely. Each of the travelling particles can carry one bit of message which can be read out directly by the receiver.
We propose a theoretical scheme for secure quantum key distribution network following the ideas m quantum aense coding. In this scheme, the server of the network provides the service for preparing and measuring the Bell states,and the users encode the states with local unitary operations. For preventing the server from eavesdropping, we design a decoy when the particle is transmitted between the users. The scheme has high capacity as one particle carries two bits of information and its efficiency for qubits approaches 100%. Moreover, it is unnecessary for the users to store the quantum states, which makes this scheme more convenient in applications than others.
We propose a theoretical scheme for secure quantum key distribution network following the ideas in quantum dense coding. In this scheme, the server of the network provides the service for preparing and measuring the Bell states, and the users encode the states with local unitary operations. For preventing the server from eavesdropping, we design a decoy when the particle is transmitted between the users. The scheme has high capacity as one particle carries two bits of information and its efficiency for qubits approaches 100%. Moreover, it is unnecessary for the users to store the quantum states, which makes this scheme more convenient in applications than others.