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

Koji Maruyama*, Daniel Burgarth, Akihito Ishizaki, Takeji Takui, K. Birgitta Whaley

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (SciVal)

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.

Original languageEnglish
Pages (from-to)763-774
Number of pages12
JournalQuantum Information & Computation
Volume12
Issue number9-10
Publication statusPublished - 01 Sept 2012

Keywords

  • Complex system
  • Dissipation
  • Hamiltonian tomography

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