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

Authors Organisations
  • Koji Maruyama(Author)
    Osaka City University
  • Daniel Burgarth(Author)
  • Akihito Ishizaki(Author)
    University of California, Berkeley
    Lawrence Berkeley National Laboratory
  • Takeji Takui(Author)
    Osaka City University
  • K. Birgitta Whaley(Author)
    University of California, Berkeley
    Berkeley Quantum Information and Computation Center
Type Article
Original languageEnglish
Pages (from-to)763-774
Number of pages12
JournalQuantum Information & Computation
Volume12
Issue number9-10
Publication statusPublished - 01 Sep 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.

Keywords

  • Complex system, Dissipation, Hamiltonian tomography