Generalized quantum secret sharing

Sudhir Kumar Singh and R. Srikanth
Phys. Rev. A 71, 012328 – Published 19 January 2005

Abstract

We explore a generalization of quantum secret sharing (QSS) in which classical shares play a complementary role to quantum shares, exploring further consequences of an idea first studied by Nascimento, Mueller-Quade, and Imai [Phys. Rev. A 64, 042311 (2001)]. We examine three ways, termed inflation, compression, and twin thresholding, by which the proportion of classical shares can be augmented. This has the important application that it reduces quantum (information processing) players by replacing them with their classical counterparts, thereby making quantum secret sharing considerably easier and less expensive to implement in a practical setting. In compression, a QSS scheme is turned into an equivalent scheme with fewer quantum players, compensated for by suitable classical shares. In inflation, a QSS scheme is enlarged by adding only classical shares and players. In a twin-threshold scheme, we invoke two separate thresholds for classical and quantum shares based on the idea of information dilution.

  • Received 20 July 2004

DOI:https://doi.org/10.1103/PhysRevA.71.012328

©2005 American Physical Society

Authors & Affiliations

Sudhir Kumar Singh*

  • Department of Electrical Engineering, University of California, Los Angeles, California 90095, USA

R. Srikanth

  • Optics Group, Raman Research Institute, Bangalore-560080, India

  • *Electronic address: suds@ee.ucla.edu
  • Electronic address: srik@rri.res.in

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Vol. 71, Iss. 1 — January 2005

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