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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Indirect Hamiltonian identification through a small gateway

Daniel Burgarth1,3 and Koji Maruyama2

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Identifying the many-body Hamiltonian of a large quantum system is essential in understanding many physical phenomena, yet extremely difficult in general. We show that coupling strengths in networks of spin-1/2 particles can be estimated indirectly through a gateway, provided that the coupling topology is known. The criterion for the feasibility of identification is described only by a simple topological property concerning how the gateway is connected to the entire network. We also address the issues of process efficiency and how degeneracies of the system can be lifted.


PACS

03.65.Wj State reconstruction, quantum tomography

03.65.Fd Algebraic methods

02.40.-k Geometry, differential geometry, and topology

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 10 (October 2009)

Received 4 August 2009

Published 7 October 2009



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