Application of indirect Hamiltonian tomography to complex systems
with short coherence times
(pp0763-0774)
Koji Maruyama, Daniel Burgarth, Akihito Ishizaki, Takeji Takui, and K. Birgitta Whaley
doi:
https://doi.org/10.26421/QIC12.9-10-3
Abstracts:
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.
Key words:
Hamiltonian tomography, complex system, dissipation
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