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International Journal of Quantum Information

CONTROLLED QUANTUM SECURE DIRECT COMMUNICATION WITH W STATE

Xiu‐Bo Chen, Qiaoyan Wen, Fen-Zhuo Guo, YING SUN, Gang Xu, Fu-Chen Zhu

Published Aug 1, 2008• 93 citations
Publisher

Abstract

Utilizing W state, which is much more robust than GHZ state, we propose a protocol for three-party controlled quantum secure direct communication (QSDC). The feature of this protocol is that the sender encodes the secret message directly on a sequence of particle states and faithfully transmits them to an arbitrary one of two receivers without revealing any information to a potential eavesdropper. On the other hand, we construct the efficient quantum circuit to implement the QSDC by means of primitive operations in quantum computation.

DOI
10.1142/s0219749908004195

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•Jan 1, 2009•1 citation
Utilizing W state, which is much more robust than GHZ state, we propose a protocol for three-party controlled quantum secure direct communication (QSDC). The feature of this protocol is that the sender encodes the secret message directly on a sequence of particle states and faithfully transmits them to an arbitrary one of two receivers without revealing any information to a potential eavesdropper. On the other hand, we construct the efficient quantum circuit to implement the QSDC by means of primitive operations in quantum computation.
Utilizing a partially entangled GHZ state, we propose a novel controlled quantum secure direct communication (QSDC) with quantum encryption. Under the supervision and help of the third side, the sender and the receiver can securely share the private quantum entanglement keys used to encrypt and decrypt the secret message. According to the results of checking the eavesdropping on decoy photons, communicators can decide whether the quantum keys are reused in the next round. Not only will eavesdropping inevitably disturb the states of the decoy photons and be detected, but arbitrary transmission errors can also be corrected.
Abstract In a controlled quantum secure direct communication (Controlled QSDC) protocol between three parties, the sender sends the encoded secured message to one of the two receivers, which can be decoded only when the other receiver agrees to cooperate. A lot of studies have been done on it using the three-qubit GHZ state, and only a few works have involved the W state. In this work, we introduce a controlled QSDC protocol exploiting a three-qubit W class of state shared between three parties, Alice (Sender), Bob (Controller), and Charlie (Receiver). In the proposed protocol, the shared state parameters and the secret are linked in such a way that it is very difficult to factor them. We will show that these parameters can be factored out easily if the receiver uses a quantum cloning machine (QCM) and thus can retrieve the secret. We find that the protocol is probabilistic and have calculated the probability of success of the protocol. Further, we establish the relation between the success probability and the efficiency of the QCM. In general, we find that the efficiency of the constructed QCM is greater than or equal to 1 3 , but we have shown that its efficiency can be enhanced when the parameters of the shared state are used as the parameters of the QCM. Moreover, we derived the linkage between the probability of success and the amount of entanglement in the shared W class of state. We analyzed the obtained result and found that even a less entangled W class of state can also play a vital role in the proposed controlled QSDC scheme.
Quantum secure direct communication (QSDC) aims to allow two remote parties to communicate directly without creating a private key in advance and then using it to encrypt the secret message. In this paper, a multiparty controlled secure quantum communication of d-dimensional is proposed based on d-dimensional maximally entangled Greenberger-Horne-Zeilinger (GHZ) state and teleportation. After using decoy photons to check eavesdropping efficiently for the purpose of the quantum channel security, the sender encodes the secret message of d-dimensional on a sequence of additional particle states and then fulfills teleportation of the secret through d-dimensional Bell state measurement (DBM) and X-basis or Z-basis measurement. The receiver can recover the secret message by combining his measurement result with the senderpsilas and controllerpsilas results. If an eavesdropper Eve cannot escape from the communication parties eavesdropping check, our scheme is completely secure because the transmitting particle sequence does not carry the secret message.
Based on the GHZ-like state, we proposed a new efficient three-party controlled quantum secure direct communication protocol for the sender to send secret information to the receiver with the permission and assistance of the controller. In this scheme, the controller prepares GHZ-like state and performs random unitary operation on the particles, and the sender encodes secret information onto his particles using dense coding and then transmits them though the quantum channel. The receiver can recover the secret information based on the controller's information and the results of the Bell basis measurement. The operations performed by the controller ensure that the receiver cannot obtain any part of the secret information without the permission of the controller. In addition, it is proved that the efficiency of the proposed scheme is higher than the existing protocols by comparison.
A theoretical scheme for alternative and secure direct communication is proposed. The communication is based on controlled quantum teleportation via state. After insuring the security of the quantum channels (a set of qubits in the states), Alice encodes the secret messages directly on a sequence of particle states and transmits them to Bob supported by Charlie, or to Charlie supported by Bob, using controlled quantum teleportation. Bob or Charlie can read out the encoded messages directly by the measurement on his qubits. In this scheme, the controlled quantum teleportation transmits Alice's message without revealing any information to a potential eavesdropper. Because there is no a transmission of the qubits carrying the secret messages between legitimate parties in the public channel, it is completely secure for direct secret communication if perfect quantum channel is used. We also discuss that when one of the three legitimate parties does not cooperate with others because of some reasons, the remaining two persons can still communicate with each other by entanglement purification. The main feature of this scheme is that the communicate between two sides is alternative but depends on the agreement of the third, and more over, the communication between two sides does not suspend with loss of one of three qubits ( i.e., one of the three legitimate parties does not cooperate with others).
A novel two-party quantum secure direct communication protocol was proposed.By using ordered four-particle W state as carrier of information,encoding the secret message with unitary transformation,we can directly transmit secret message with local Bell-basis measurement and classical communication.In ideal channel,the protocol is secure against incoherent attack.The advantage of this scheme is that using W state is more little than GHZ state in energy loss and no quantum bit carrying secret message is transmitted in quantum channel.