Lower Bounds on Quantum Metrological Precision

In this thesis, first, we investigate the metrological usefulness of a family of states known as unpolarized Dicke states, which turn to be very sensitive to the magnetic field. Quantum mechanics plays a central role in achieving such a high precision. Second, we investigate possible lower bounds on...

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Bibliographic Details
Published inarXiv.org
Main Author Apellaniz, Iagoba
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 05.07.2017
Subjects
Lower bounds
Magnetic fields
Magnetic measurement
Metrology
Quantum mechanics
Quantum theory
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Summary:In this thesis, first, we investigate the metrological usefulness of a family of states known as unpolarized Dicke states, which turn to be very sensitive to the magnetic field. Quantum mechanics plays a central role in achieving such a high precision. Second, we investigate possible lower bounds on the quantum Fisher information, a quantity that characterizes the usefulness of a state for quantum metrology, using the theory of Legendre transforms such that we obtain tight lower bounds based on few measurements of the initial quantum state that will be used for metrology. And last but not least, we investigate gradient magnetometry, i.e., we develop a theory to study the sensitivity of some states on the change in space of the magnetic field.
ISSN:2331-8422