We present a scheme for quantum secure direct communication with quantum encryption. The two authorized users use repeatedly a sequence of the pure entangled pairs (quantum key) shared for encrypting and decrypting the secret message carried by the traveling photons directly. For checking eavesdropping, the two parties perform the single-photon measurements on some decoy particles before each round. This scheme has the advantage that the pure entangled quantum signal source is feasible at present and any eavesdropper cannot steal the message.Keywords: quantum secure direct communication, quantum encryption, quantum key, pure entangled states PACC: 0155, 0367Quantum mechanics provides some novel ways for processing and transmission of quantum information. Quantum key distribution (QKD) is considered to be the safest system for creating a private key between two remote authorized users, say Alice and Bob, and may be the most advanced application of quantum information. The noncloning theorem forbids an eavesdropper, Eve to eavesdrop the quantum communication freely. In 1984, Bennett and Brassard [1] proposed an original QKD protocol with nonorthogonal polarized single photons. As an unknown quantum states cannot be eavesdropped without leaving a trace in the outcomes obtained by the two parties, the BB84 protocol is unconditionally secure [2]. In 1991, Ekert [3] introduced another QKD scheme based on the correlation of an Einstein-Podolsky-Rosen (EPR) pair, the maximally entangled two-particle state, by using Bell inequality for error rate analysis. Subsequently, Bennett, Brassard and Mermin (BBM92) [4] simplified the process for eavesdropping check in this scheme with two nonorthogonal measuring bases. Lo, Chau and Ardehali [5] presented a QKD model with two nonsymmetric bases. Huang et al. [6] and Deng et al. [7] designed two QKD models by using repeatedly a sequence of private classical bits shared initially for improving their efficiency for qubits or reducing the delay time in QKD with some orthogonal states. To date, much attention has been focused on QKD [5,6,7,8,9,10,11].Recently, quantum secure direct communication (QSDC), a novel concept, was proposed and pursued by some groups [12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29]. Different from QKD whose goal is * Published in Chin. Phys. 16, 2149Phys. 16, -2153Phys. 16, (2007 † E-mail addresses: fgdeng@bnu.edu.cn to generate a private key between the two remote parties of communication, QSDC is used to communicate the secret message directly without generating a key in advance and then encrypting the message for its transmission in a classical channel. According to the Deng-Long-Liu criterion [12,13,14], on one hand, the sender Alice should confirm whether the quantum channel is secure before she encodes the message on the quantum states transmitted as the messages cannot be discarded in QSDC [12,13,14]. Moreover, the message should be read out by the receiver Bob directly [12,13,14]. On the other hand, the security of quantum communication is b...
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