Quantum solution to a three player Kolkata restaurant problem using entangled qutrits

  • Authors:
  • Puya Sharif;Hoshang Heydari

  • Affiliations:
  • Department of physics, Stockholm University, Stockholm, Sweden;Department of physics, Stockholm University, Stockholm, Sweden

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2014

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Abstract

Three player quantum Kolkata restaurant problem is modelled using three entangled qutrits. This first use of three level quantum states in this context is a step towards a N-choice generalization of the N-player quantum minority game. It is shown that a better than classical payoff is achieved by a Nash equilibrium solution where the space of available strategies is spanned by subsets of SU(3) and the players share a tripartite entangled initial state.