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Quantum Information Processing

Multi-dimensional quantum state sharing based on quantum Fourier transform

Huawang Qin, Raylin Tso, Yuewei Dai

Published Jan 24, 2018• 49 citations
Publisher
DOI
10.1007/s11128-018-1827-8

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(t,n)(t, n)(t,n) Threshold ddd-level quantum secret sharing based on quantum Fourier transformation
Quantum secret sharing (QSS) is an important branch of secure multiparty quantum computation. Several schemes for (n,n)(n, n)(n,n) threshold QSS based on quantum Fourier transformation (QFT) have been proposed. Inspired by the flexibility of (t,n)(t, n)(t,n) threshold schemes, Song {\it et al.} (Scientific Reports, 2017) have proposed a (t,n)(t, n)(t,n) threshold QSS utilizing QFTQFTQFT. Later, Kao and Hwang (arXiv:1803.00216) have identified a loophole in the scheme but have not suggested any remedy. In this present study, we have proposed a (t,n)(t, n)(t,n) threshold QSS scheme to share a ddd dimensional classical secret. This scheme can be implemented using local operations (such as QFTQFTQFT, generalized Pauli operators and local measurement) and classical communication. Security of the proposed scheme is described against outsider and participants' eavesdropping.