Quantum secret sharing method based on tensor network and quantum communication system

Abstract

The invention discloses a quantum secret sharing method based on a tensor network and a quantum communication system. A quantum state is reconstructed by utilizing a corresponding relationship betweenclassic information and quantum information; a distributor combines an AKLT model and a matrix product state representation method to realize secret division, and then distributes sub-secrets to participants through a classic authentication channel and a quantum channel; and finally, secret reconstruction is realized based on a tensor network state theory and a (n, n) threshold group recovery protocol. The extendability of secret information and the matrix product representation expandability, transfer characteristics and non-uniqueness of a quantum multi-body state are the biggest innovationpoints of the invention, safety and reliability of quantum communication are guaranteed, and the problem that dynamic construction cannot be achieved through existing quantum state secret sharing issolved. Diversity of matrix product state representation and simple graphic representation corresponding to the tensor network enable the method of the invention to have a good application prospect inthe field of quantum state sharing and information security in a quantum network.

Description

technical field [0001] The invention relates to quantum communication technology, more specifically, to a tensor network-based quantum secret sharing method and a quantum communication system. Background technique [0002] In quantum communication systems, the security of existing quantum state secret sharing schemes mostly depends on the transmission protocol, and does not consider extending the initial secret state, so that these quantum state secret sharing schemes cannot realize dynamic functions. If participants join and old participants exit, the initial secret state has to be discarded. [0003] However, since the emergence of quantum computing, people have paid more and more attention to the theory and application of tensor network state. Tensor network state is a state that can be expressed by mathematical graphics, and it is a kind of entangled state. Is it possible to apply the tensor network state algorithm to quantum state secret sharing, so that the non-unique...

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