Time-optimal Hamiltonian simulation and gate synthesis using homogeneous local unitaries

  • Authors:

  • Ll. Masanes;G. Vidal;J. I. Latorre

  • Affiliations:

  • Dept. d'Estructura i Constituents de la Matèria, Univ. Barcelona, Barcelona, Spain;Institut für Theoretische Physik, Universität Innsbruck, Innsbruck, Austria and Institute for Quantum Information, California Institute of Technology, Pasadena, CA;Dept. d'Estructura i Constituents de la Matèria, Univ. Barcelona, Barcelona, Spain

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2002

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Abstract

Motivated by experimental limitations commonly met in the design of solid state quantum computers, we study the problems of non-local Hamiltonian simulation and nonlocal gate synthesis when only homogeneous local unitaries are performed in order to tailor the available interaction. Homogeneous (i.e. identical for all subsystems) local manipulation implies a more refined classification of interaction Hamiltonians than the inhomogeneous case, as well as the loss of universality in Hamiltonian simulation. For the case of symmetric two-qubit interactions, we provide time-optimal protocols for both Hamiltonian simulation and gate synthesis.