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Dynamic hierarchical quantum secret sharing based on the multiscale entanglement renormalization ansatz

journal contribution
posted on 2023-02-14, 03:44 authored by H Lai, J Pieprzyk, Lei PanLei Pan
Tensor networks offer a novel and powerful tool for solving a variety of problems in mathematics, data science, and engineering. One such network is the multiscale entanglement renormalization ansatz (MERA). The MERA exhibits a hierarchical structure of layers, where each layer corresponds to a particular length (or energy) scale. The structure can be easily constructed using isometric and disentangler transformations. The following question arises: Is it possible to use the MERA to build hierarchical quantum secret sharing (HQSS)? The paper answers the question in the affirmative. In particular, it shows how a hierarchy of participant trust and authority relates to a MERA structure. The structure consists of binary and ternary MERA modules, which generate secret shares for participants. Because a binary MERA can be replaced by its ternary sibling and vice versa, our HQSS scheme is dynamic, allowing promotion and demotion of participants from the different layers but also enrollment of new ones and disenrollment of old ones from the same layer. The correctness and security of our dynamic hierarchical quantum secret sharing scheme are discussed.

History

Journal

Physical Review A

Volume

106

Article number

ARTN 052403

ISSN

2469-9926

eISSN

2469-9934

Language

English

Publication classification

C1 Refereed article in a scholarly journal

Issue

5

Publisher

AMER PHYSICAL SOC

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