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Device Independent Quantum Secret Sharing in Arbitrary Even Dimension

Authors :
Roy, Sarbani
Mukhopadhyay, Sourav
Source :
Phys. Rev. A 100, 012319 (2019)
Publication Year :
2019

Abstract

We present a device independent quantum secret sharing scheme in arbitrary even dimension. We propose a $d$-dimensional $N$-partite linear game, utilizing a generic multipartite higher dimensional Bell inequality, a generalization of Mermin's inequality in the higher dimension. Probability to win this linear game defines the device independence test of the proposed scheme. The security is proved under causal independence of measurement devices and it is based on the polygamy property of entanglement. By defining $\epsilon_{cor}$-correctness and $\epsilon^c$-completeness for a quantum secret sharing scheme, we have also shown that the proposed scheme is $\epsilon_{cor}$-correct and $\epsilon^c$-complete.<br />Comment: 8 pages; Some typos corrected

Subjects

Subjects :
Quantum Physics

Details

Database :
arXiv
Journal :
Phys. Rev. A 100, 012319 (2019)
Publication Type :
Report
Accession number :
edsarx.1903.11836
Document Type :
Working Paper
Full Text :
https://doi.org/10.1103/PhysRevA.100.012319