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arXiv:0801.4053 · Communications in Theoretical Physics

Two Avowable Quantum Communication Schemes

Yan Feng-Li, Ding Dong

Published Nov 1, 2008• 3 citations
arXivHTMLPDF

Abstract

Two avowable quantum communication schemes are proposed. One is an avowable teleportation protocol based on the quantum cryptography. In this protocol one teleports a set of one-particle states based on the availability of an honest arbitrator, the keys and the Einstein–Podolsky–Rosen pairs shared by the communication parties and the arbitrator. The key point is that the fact of the teleportation can neither be disavowed by the sender nor be denied by the receiver. Another is an avowable quantum secure direct communication scheme. A one-way Hash function chosen by the communication parties helps the receiver to validate the truth of the information and to avoid disavowing for the sender.

DOI
10.1088/0253-6102/50/5/20

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Two avowable quantum communication schemes are proposed. One is an avowable teleportation protocol based on the quantum cryptography. In this protocol one teleports a set of one-particle states based on the availability of an honest arbitrator, the keys and the Einstein–Podolsky–Rosen pairs shared by the communication parties and the arbitrator. The key point is that the fact of the teleportation can neither be disavowed by the sender nor be denied by the receiver. Another is an avowable quantum secure direct communication scheme. A one-way Hash function chosen by the communication parties helps the receiver to validate the truth of the information and to avoid disavowing for the sender.
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.
Two quantum digital signature schemes using the entanglement character of Einstein-Podolsky-Rosen(EPR) pairs were researched,and a protocol based on comparing the measurement result and the other protocol based on teleportation were proposed.In the first protocol,the communicators measured their EPR and compared the measurement results with the message M to implement signature and verification,in the meantime using quantum one-way function to guarantee its security.In the second protocol,the sender sent M to the receiver via quantum teleportation to implement signature and verification,whose security was guaranteed by the physical characteristics of quantum teleportation.These two protocols did not need a third party who was worthy of being trusted,neither need any keys in the communication process.Furthermore,they had unconditional security.
Most of the quantum secure direct communication protocols need a pre-established secure quantum channel. Only after ensuring the security of quantum channel can the sender encode the secret message and send it to the receiver through the secure channel. In this paper, we present a quantum secure direct communication protocol using Einstein–Podolsky–Rosen pairs and teleportation. It is unnecessary for the present protocol to ensure the security of the quantum channel before transmitting the secret message. In the present protocol, all Einstein–Podolsky–Rosen pairs are used to transmit the secret message except those chosen for eavesdropping check. We also discuss the security of our protocol under several eavesdropping attacks.
We present a controlled quantum teleportation protocol. In the protocol, quantum information of an unknown state of a 2-level particle is faithfully transmitted from a sender Alice to a remote receiver Bob via an initially shared triplet of entangled particles under the control of the supervisor Charlie. The distributed entangled particles shared by Alice, Bob and Charlie function as a quantum information channel for faithful transmission. We also propose a controlled and secure direct communication scheme by means of this teleportation. After ensuring the security of the quantum channel, Alice encodes the secret message directly on a sequence of particle states and transmits them to Bob supervised by Charlie using this controlled quantum teleportation. Bob can read out the encoded message directly by the measurement on his qubit. In this scheme, the controlled quantum teleportation transmits Alice's message without revealing any information to a potential eavesdropper. Because there is not a transmission of the qubit carrying the secret message between Alice and Bob in the public channel, it is completely secure for controlled and direct secret communication if perfect quantum channel is used. The special feature of this scheme is that the communication between two sides depends on the agreement of a third side to co-operate.
We present a quantum secure direct communication protocol and a multiparty quantum secret sharing protocol based on Einstein-Podolsky-Rosen pairs and entanglement swapping. The present quantum secure direct communication protocol makes use of the ideal of block transmission. We also point out that the sender can encode his or her secret message without ensuring the security of the quantum channel firstly. In the multiparty quantum secret sharing protocol, the communication parties adopt checking mode or encoding mode with a certain probability. It is not necessary for the protocol to perform local unitary operation. In both the protocols, one party transmits only one photon for each Einstein-Podolsky-Rosen pair to another party and the security for the transmitting photons is ensured by selecting Z-basis or X-basis randomly to measure the sampling photons.