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Quantum Information Processing
Published in: Quantum Information Processing 6/2017

01-06-2017

Noisy metrology: a saturable lower bound on quantum Fisher information

Authors: R. Yousefjani, S. Salimi, A. S. Khorashad

Published in: Quantum Information Processing | Issue 6/2017

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Abstract

In order to provide a guaranteed precision and a more accurate judgement about the true value of the Cramér-Rao bound and its scaling behavior, an upper bound (equivalently a lower bound on the quantum Fisher information) for precision of estimation is introduced. Unlike the bounds previously introduced in the literature, the upper bound is saturable and yields a practical instruction to estimate the parameter through preparing the optimal initial state and optimal measurement. The bound is based on the underling dynamics, and its calculation is straightforward and requires only the matrix representation of the quantum maps responsible for encoding the parameter. This allows us to apply the bound to open quantum systems whose dynamics are described by either semigroup or non-semigroup maps. Reliability and efficiency of the method to predict the ultimate precision limit are demonstrated by three main examples.
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Appendix
Available only for authorised users
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Metadata
Title
Noisy metrology: a saturable lower bound on quantum Fisher information
Authors
R. Yousefjani
S. Salimi
A. S. Khorashad
Publication date
01-06-2017
Publisher
Springer US
Published in
Quantum Information Processing / Issue 6/2017
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-017-1596-9

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