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A new scheme for quantum secret sharing

Saber Bagherinezhad, Karimipour

Published Apr 21, 2002• 0 citations
OpenAlex

Abstract

We introduce a protocol for quantum secret sharing based on reusable entangled states. The entangled state between the sender and the receiver acts only as a carrier and no measurement is performed on this shared state. Half of the sequence of bits can be retrieved independently and for the other half the receivers need each other's assistance. We also show that the protocol is completely safe against eavesdropping.

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Physical Review A•Aug 18, 2003•165 citations
We introduce a protocol for quantum secret sharing based on reusable entangled states. The entangled state between the sender and the receiver acts only as a carrier and no measurement is performed on this shared state. Half of the sequence of bits can be retrieved independently and for the other half the receivers need each other's assistance. We also show that the protocol is completely safe against eavesdropping.
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.
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.
We present a new protocol for the quantum secret sharing (QSS) task among multiparties with two-particle entangled states. In our scheme, the secret is split among a number of participating partners and the reconstruction requires collaboration of all the authorized partners. Instead of multiparticle Greenberger–Horne–Zeilinger states, only two-particle entangled states are employed in this scheme. By local operations and individual measurements on either of the two entangled particles, each authorized partner obtains a sequence of secret bits shared with other authorized partners. This protocol can be experimentally realized using only linear optical elements and simple entanglement source. It is scalable in practice.
A marked state can be found with certainty in the two-qubit case of Grover's algorithm. This property is included in the proposed quantum secret-sharing protocol. In the proposed scheme, the sender prepares some initial state in private and then performs a phase shift of the marked state as the sender's bit. Then, the sender sends these two qubits to each of the two receivers. Only when the sender broadcasts the initially prepared state and then the receivers perform the corresponding inversion operation about the average, is the sender's bit faithfully revealed. Moreover, the sender can detect deception using cheat-detecting states. The proposed quantum secret-sharing protocol is shown to be secure.