Details
| Original language | English |
|---|---|
| Article number | 250 |
| Pages (from-to) | 250 |
| Journal | Nature Communications |
| Volume | 11 |
| Issue number | 1 |
| Publication status | Published - 14 Jan 2020 |
Abstract
Identification of the optimal quantum metrological protocols in realistic many particle quantum models is in general a challenge that cannot be efficiently addressed by the state-of-the-art numerical and analytical methods. Here we provide a comprehensive framework exploiting matrix product operators (MPO) type tensor networks for quantum metrological problems. The maximal achievable estimation precision as well as the optimal probe states in previously inaccessible regimes can be identified including models with short-range noise correlations. Moreover, the application of infinite MPO (iMPO) techniques allows for a direct and efficient determination of the asymptotic precision in the limit of infinite particle numbers. We illustrate the potential of our framework in terms of an atomic clock stabilization (temporal noise correlation) example as well as magnetic field sensing (spatial noise correlations). As a byproduct, the developed methods may be used to calculate the fidelity susceptibility—a parameter widely used to study phase transitions.
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In: Nature Communications, Vol. 11, No. 1, 250, 14.01.2020, p. 250.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Tensor-network approach for quantum metrology in many-body quantum systems
AU - Chabuda, Krzysztof
AU - Dziarmaga, Jacek
AU - Osborne, Tobias J.
AU - Demkowicz-Dobrzański, Rafał
N1 - Funding information: We would like to thank Marek M. Rams, David Layden, Maciej Lewenstein, Shi-Ju Ran, Piet O. Schmidt, and Ian D. Leroux for fruitful discussions. We are also indebt to Marek M. Rams for sharing with us the data from ref. 43. K.Ch. and R.D.D. acknowledge support from the National Science Center (Poland) grant No. 2016/22/E/ST2/00559. Work of J.D. was funded by the National Science Center (Poland) together with European Union through QuantERA ERA NET program 2017/25/Z/ST2/03028. T.J.O. was supported, in part, by the DFG through SFB 1227 (DQmat), the RTG 1991, and the cluster of excellence EXC 2123 QuantumFrontiers.
PY - 2020/1/14
Y1 - 2020/1/14
N2 - Identification of the optimal quantum metrological protocols in realistic many particle quantum models is in general a challenge that cannot be efficiently addressed by the state-of-the-art numerical and analytical methods. Here we provide a comprehensive framework exploiting matrix product operators (MPO) type tensor networks for quantum metrological problems. The maximal achievable estimation precision as well as the optimal probe states in previously inaccessible regimes can be identified including models with short-range noise correlations. Moreover, the application of infinite MPO (iMPO) techniques allows for a direct and efficient determination of the asymptotic precision in the limit of infinite particle numbers. We illustrate the potential of our framework in terms of an atomic clock stabilization (temporal noise correlation) example as well as magnetic field sensing (spatial noise correlations). As a byproduct, the developed methods may be used to calculate the fidelity susceptibility—a parameter widely used to study phase transitions.
AB - Identification of the optimal quantum metrological protocols in realistic many particle quantum models is in general a challenge that cannot be efficiently addressed by the state-of-the-art numerical and analytical methods. Here we provide a comprehensive framework exploiting matrix product operators (MPO) type tensor networks for quantum metrological problems. The maximal achievable estimation precision as well as the optimal probe states in previously inaccessible regimes can be identified including models with short-range noise correlations. Moreover, the application of infinite MPO (iMPO) techniques allows for a direct and efficient determination of the asymptotic precision in the limit of infinite particle numbers. We illustrate the potential of our framework in terms of an atomic clock stabilization (temporal noise correlation) example as well as magnetic field sensing (spatial noise correlations). As a byproduct, the developed methods may be used to calculate the fidelity susceptibility—a parameter widely used to study phase transitions.
UR - http://www.scopus.com/inward/record.url?scp=85077897425&partnerID=8YFLogxK
U2 - 10.1038/s41467-019-13735-9
DO - 10.1038/s41467-019-13735-9
M3 - Article
C2 - 31937760
AN - SCOPUS:85077897425
VL - 11
SP - 250
JO - Nature Communications
JF - Nature Communications
SN - 2041-1723
IS - 1
M1 - 250
ER -