$(t, n)$ Threshold $d$-level quantum secret sharing based on quantum Fourier transformation

• URL: http://arxiv.org/abs/2009.14598v2
• Date: Thu, 15 Oct 2020 13:17:05 GMT
• Title: $(t, n)$ Threshold $d$-level quantum secret sharing based on quantum Fourier transformation
• Authors: Sarbani Roy, Sourav Mukhopadhyay
• Abstract summary: Quantum secret sharing (QSS) is an important branch of secure multiparty quantum computation. We have proposed a $(t, n)$ threshold QSS scheme to share a $d$ dimensional classical secret.
• Score: 4.441866681085517
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum secret sharing (QSS) is an important branch of secure multiparty quantum computation. Several schemes for $(n, n)$ threshold QSS based on quantum Fourier transformation (QFT) have been proposed. Inspired by the flexibility of $(t, n)$ threshold schemes, Song {\it et al.} (Scientific Reports, 2017) have proposed a $(t, n)$ threshold QSS utilizing $QFT$. 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 $(t, n)$ threshold QSS scheme to share a $d$ dimensional classical secret. This scheme can be implemented using local operations (such as $QFT$, generalized Pauli operators and local measurement) and classical communication. Security of the proposed scheme is described against outsider and participants' eavesdropping.

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