Quantum information processing with hyperentangled photon states

  • Authors:

  • S. P. Walborn;M. P. Almeida;P. H. Souto Ribeiro;C. H. Monken

  • Affiliations:

  • Instituto de Física, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ, Brazil;Instituto de Física, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ, Brazil;Instituto de Física, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ, Brazil;Universidade Federal de Minas Gerais, Belo Horizonte, MG, Brazil

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2006

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Abstract

We discuss quantum information processing with hyperentangled photon states - statesentangled in multiple degrees of freedom. Using an additional entangled degree of freedomas an ancilla space, it has been shown that it is possible to perform efficient Bell-state measurements. We briefly review these results and present a novel deterministicquantum key distribution protocol based on Bell-state measurements of hyperentangledphotons. In addition, we propose a scheme for a probabilistic controlled-not gate whichoperates with a 50 % success probability. We also show that despite its probabilisticnature, the controlled-not gate can be used for an efficient, nonlocal demonstration ofthe Deutsch algorithm using two separate photons.