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INTERNATIONAL JOURNAL ON Advances in Information Sciences and Service Sciences

A Novel Quantum Secret Sharing with Nonmaximally Entangled Qubit Pair

Xiaoping Lou, Zhigang Chen, Zeng Feng

Published Oct 16, 2012• 1 citation
Publisher
DOI
10.4156/aiss.vol4.issue18.52

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A novel quantum anonymous communication scheme is proposed on the basis of Dining Cryptographers (DC) Problem and nonmaximally entangled qubit pair. The scheme takes advantage of quantum-mechanical impossibility of local unitary transformation between certain nonmaximally entangled states to provide truly random number which can be brightly used in anonymous communication protocols based on DC-Nets. The analysis and discussions demonstrate that the proposed quantum anonymous communication scheme can be performed securely with high capacity and untraceability. The scheme can also be extended to a (2, 2) quantum secret sharing (QSS) scheme.
We describe a protocol for establishing multiparticle entanglement among particles belonging to distant users using nonmaximally entangled pairs in a communication network. Each of the users shares nonmaximally entangled pairs with the control centre. A series of controlled-not operations, measurements and a one-qubit rotation are performed at the control centre. Then the particles belonging to the users collapse to a maximally or nonmaximally entangled state. Any user may concentrate the nonmaximally entangled state into a maximally entangled state probabilistically.
Quantum secret sharing (QSS), an important branch of quantum communication, is the generalization of classical secret sharing into quantum scenario. The secret messages are split into several parts, and each part is distributed to a separate party so that no action of a subset of all the parties without the cooperation of the entire group is able to read out the secret messages. In this paper, a quantum state sharing protocol is proposed by using entanglement swapping and random EPR selection. The EPR pairs of Bell-state measurement are selected randomly by the sender Alice, which can improve the security of the scheme and raise probability of detecting Eve to 95.8%. In addition, difference coding is used in this protocol to achieve a high efficiency. The security of the present multiparty QSS against eavesdropping has been analyzed. It is convenient in application as it require only two qubit entanglements, one measuring-basis and two-qubit joint measurements, not GHZ states, for sharing an arbitrary secret two-qubit state.