Indirect quantum tomography of quadratic Hamiltonians

Indirect quantum tomography of quadratic Hamiltonians
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DOI:
10.1088/1367-2630/13/1/013019
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发表时间:
2011-01-01
影响因子:
3.3
通讯作者:
Nori, Franco
Nori, Franco
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Burgarth, Daniel;Maruyama, Koji;Nori, Franco

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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.