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Jiguang zazhi

Secret sharing protocol of an unknown quantum state based on three-particle entangled state

Hongmei Huang

Published Jan 1, 2012• 0 citations
OpenAlex

Abstract

An unknown quantum state secret sharing scheme using three-particle entangled state is proposed,in this scheme,the sender and agency share three-particle entangled state as quantum channels,the sender makes the unknown quantum state entangled with three-particle entangled state,and performs Bell measurement on the unknown quantum state and her own particle,then two agencies carry out von Neumann measurement and appropriate unitary operation on system respectively,after cooperation one of the agencies can obtain the secret message.the scheme provides a idea for the quantum state secret sharing,its security is based on the quantum non-cloning principle and it has the characteristics of resistance to eavesdropping and is easy to realize.

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An unknown quantum state secret sharing scheme using three-particle entangled state is proposed,in this scheme,the sender and agency share three-particle entangled state as quantum channels,the sender makes the unknown quantum state entangled with three-particle entangled state,and performs Bell measurement on the unknown quantum state and her own particle,then two agencies carry out von Neumann measurement and appropriate unitary operation on system respectively,after cooperation one of the agencies can obtain the secret message.the scheme provides a idea for the quantum state secret sharing,its security is based on the quantum non-cloning principle and it has the characteristics of resistance to eavesdropping and is easy to realize.
Focused on the issue that the quantum secret sharing is limited to the maximally entangled state,a scheme for quantum state sharing of an arbitrary unknown N-qubit state by using entangled state as quantum channel was proposed. The sender Alice used the Bell basis measurement and then the receiver Bob or Charlie used the single particle measurement. The participants chose the right joint unitary operation according to the results from Alice and the signal measurement,which could realize arbitrary N-qubit secret sharing. The eavesdropping analysis shows explicitly that the scheme is secure and it can resist the external eavesdropper and internal dishonest participant.
Two schemes for quantum secret sharing of single-qubit state were proposed.A symmetric threequbit entangled state and an asymmetric three-qubit entangled state were used as quantum channel,respectively. The sender performs Bell-basis measurements on her particles,and the cooperator operates single-particle measurements on his particles,then the state receiver can reconstruct the original state by applying the appropriate unitary operation.The schemes can also be generalized to the case of arbitrary two-qubit and multi-particle entangled state.The security against certain eavesdropping attacks is also considered.These protocols are considered to be secure.
We propose a new multiparty quantum secret sharing protocol via introducing auxiliary particles using a non-maximally entangled (pure) two-particle state without a Bell measurement. The communication parties utilize decoy particles to check eavesdropping. After ensuring the security of the quantum channel, the sender encodes the secret message and transmits it to the receiver by using controlled-NOT operation and von Neumann measurement. If and only if all the agents agree to collaborate, they can read out the secret message.
A kind of three-particle entangled state is applied as quantum channel of the controlled quantum teleportation of a one-particle unknown state. The one-particle unknown state is transmitted from the sender to the recipient under the control of the supervisor. After the sender makes Bell-state measurement and the supervisor performs von Neumann measurement, the recipient carries out unitary transformation on his own particle depending on classical information from the sender and the supervisor. The teleportation cannot be completed successfully by the recipient if the supervisor does not agree to cooperate. The roles of the recipient and the supervisor may be exchanged in this scheme. The scheme is flexible and feasible because the sequence of manipulation of the sender and the supervisor may be exchanged and only simple unitary transformation is included.
We present a new quantum secure direct communication protocol with three-particle entangled state. The communication parties utilize decoy photons to check eavesdropping. The sender encodes the secret message with unitary transformation, we can directly transmit secret message with Bell-basis measurement and Z-basis measurement. The protocol is efficient in that all entangled states are used to transmit the secret message and two bits message can be transmitted one time, the preparation of three-particle entangled state is realized technique, the protocol is feasible to operate. The protocol is also verified to be secure for a noise quantum channel.
To improve the efficiency of quantum secret sharing, a protocol share the message directly among the users was proposed. The scheme made full use of entanglement swapping of Bell states and local operations. For detection of eavesdropping, the EPR pairs were divided into two parts: the checking parts and the encoding parts. After insuring the security of the quantum channel by measuring the checking particles in conjugate bases, the sender encoded her bits via the local unitary operations on the encoding parts. Investigation shows that the protocol is secure and two Bell states can be used to share two bits message.