Hybrid GF(2) --- boolean expressions ..for quantum computing circuits

  • Authors:
  • Claudio Moraga

  • Affiliations:
  • European Centre for Soft Computing, Mieres, Spain and Faculty of Computer Science, TU Dortmund University, Dortmund, Germany

  • Venue:
  • RC'11 Proceedings of the Third international conference on Reversible Computation
  • Year:
  • 2011

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Abstract

An extension of Toffoli gates is proposed, that allows them to efficiently realize operations in GF(2) and lattice operations of a Boolean algebra. An equivalent extension is introduced into Reed Muller expressions, including mixed polarities and lattice operations, to support the design of quantum computing circuits with low quantum cost.