Quantum scheme for secret sharing based on local distinguishability

Ramij Rahaman and Matthew G. Parker
Phys. Rev. A 91, 022330 – Published 20 February 2015

Abstract

In this paper, we analyze the (im)possibility of the exact distinguishability of orthogonal multipartite entangled states under restricted local operation and classical communication. Based on this local distinguishability analysis, we propose a quantum secret sharing scheme (which we call LOCC-QSS). Our LOCC-QSS scheme is quite general and cost efficient compared to other schemes. In our scheme, no joint quantum operation is needed to reconstruct the secret. We also present an interesting (2,n)-threshold LOCC-QSS scheme, where any two cooperating players, one from each of two disjoint groups of players, can always reconstruct the secret. This LOCC-QSS scheme is quite uncommon, as most (k,n)-threshold quantum secret sharing schemes have the restriction kn2.

  • Received 22 May 2014
  • Revised 14 December 2014

DOI:https://doi.org/10.1103/PhysRevA.91.022330

©2015 American Physical Society

Authors & Affiliations

Ramij Rahaman1,2,3,* and Matthew G. Parker3,†

  • 1Department of Mathematics, University of Allahabad, Allahabad-211002, U.P., India
  • 2Institute of Theoretical Physics & Astrophysics, University of Gdańsk, 80-952 Gdańsk, Poland
  • 3Department of Informatics, University of Bergen, Post Box 7803, 5020 Bergen, Norway

  • *ramijrahaman@gmail.com
  • Matthew.Parker@ii.uib.no

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 91, Iss. 2 — February 2015

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×