Indirect quantum tomography of quadratic Hamiltonians

Daniel Burgarth, Koji Maruyama, Franco Nori

Research output: Contribution to journalArticlepeer-review

53 Citations (SciVal)
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Abstract

A number of many-body problems can be formulated using Hamiltonians that are quadratic in the creation and annihilation operators. Here, we show how such quadratic Hamiltonians can be efficiently estimated indirectly, employing very few resources. We found that almost all the properties of the Hamiltonian are determined by its surface and that these properties can be measured even if the system can only be initialized to a mixed state. Therefore, our method can be applied to various physical models, with important examples including coupled nano-mechanical oscillators, hopping fermions in optical lattices and transverse Ising chains.
Original languageEnglish
JournalNew Journal of Physics
Volume13
DOIs
Publication statusPublished - 14 Jan 2011

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