Application of indirect Hamiltonian tomography to complex systems with short coherence times

  • Authors:

  • Koji Maruyama;Daniel Burgarth;Akihito Ishizaki;Takeji Takui;K. Birgitta Whaley

  • Affiliations:

  • Department of Chemistry and Materials Science, Osaka City University, Osaka, Japan;Institute of Mathematics and Physics, University of Aberystwyth, Aberystwyth, UK;Institute for Molecular Science, National Institutes of Natural Sciences, Okazaki, Japan and Department of Chemistry, University of California, Berkeley, CA and Physical Biosciences Division, Lawr ...;Department of Chemistry and Materials Science, Osaka City University, Sumiyoshi, Osaka, Japan;Department of Chemistry, University of California, Berkeley, CA and Berkeley Quantum Information and Computation Center, University of California, Berkeley, CA

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2012

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Abstract

The identification of parameters in the Hamiltonian that describes complex many-body quantum systems is generally a very hard task. Recent attention has focused on such problems of Hamiltonian tomography for networks constructed with two-level systems. For open quantum systems, the fact that injected signals are likely to decay before they accumulate sufficient information for parameter estimation poses additional challenges. In this paper, we consider use of the gateway approach to Hamiltonian tomography [1, 2] to complex quantum systems with a limited set of state preparation and measurement probes. We classify graph properties of networks for which the Hamiltonian may be estimated under equivalent conditions on state preparation and measurement. We then examine the extent to which the gateway approach may be applied to estimation of Hamiltonian parameters for network graphs with non-trivial topologies mimicking biomolecular systems.