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Device Independent Quantum Secret Sharing in Arbitrary Even Dimension
- 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 :
- Quantum Physics
Subjects
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