Reasonable hierarchical quantum state sharing method and system and storage medium

Abstract

The invention provides a rational hierarchical quantum state sharing method and system and a storage medium. The method comprises the following steps that: a banker publishes the number of turns of quantum state sharing; the banker determines a reconstructed quantum state participant of the current round and allocates particles to the participant; in the non-revealing round, after each participant measures the particles distributed by the banker and publishes a measurement result, the banker obtains the number of the cheating participant; in a revealing round, if the reconstructed quantum state participant is a superior participant, other superior participants carry out X-base measurement on particles of the reconstructed quantum state participant, all subordinate participants carry out Z-base measurement on particles of the reconstructed quantum state participant, and the reconstructed quantum state participant selects part of subordinate participants to carry out bargaining based on a predetermined game model; and after the participants finish measurement and publish a measurement result, if the quantum state reconstruction participant pays for other participants, the banker performs Bell state measurement on the shared quantum state and corresponding particles reserved by the banker and publishes the measurement result, and the current quantum state reconstruction participant reconstructs the quantum state through unitary operation.

Description

technical field [0001] The invention relates to the technical field of quantum cryptography, in particular to a method, system and storage medium for sharing rational hierarchical quantum states. Background technique [0002] Secret sharing is an important branch of modern cryptography that utilizes unproven mathematical assumptions to ensure the security of secret sharing, and quantum secret sharing is the quantum version of classical secret sharing. Quantum secret sharing uses Heisenberg's uncertainty principle and quantum unclonable theorem to ensure information security. It is an important research branch of quantum cryptography. Compared with the classical secret sharing protocol, the quantum secret sharing protocol also realizes that multiple participants share the secret information sent by the sender, and they can obtain the secret information only by cooperation. However, in the quantum secret sharing protocol, the secret information can be either classical informa...

AI Technical Summary

Problems solved by technology

In 2018, Dou et al. also proposed a dealer-online rational quantum state sharing protocol. In this protocol, the dealer is unknown to the shared quantum state. Due to the quantum non-cloning theorem, only one participant can reconstruct the quantum state in the end. But at present, the participants in reconstructing the quantum state are designated by the banker, rather than jointly selected by the participants, which is unfair to other participants

At present, there are basically no mature schemes for rational hierarchical quantum state sharing protocols

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