Intrinsic relationships of Quantum Resource Theories and their roles in
Quantum Metrology
- URL: http://arxiv.org/abs/2211.07975v1
- Date: Tue, 15 Nov 2022 08:21:55 GMT
- Title: Intrinsic relationships of Quantum Resource Theories and their roles in
Quantum Metrology
- Authors: Abdallah Slaoui
- Abstract summary: We focus on the resource theories of entanglement, discord-like quantum correlations, and quantum coherence.
This thesis includes also the contributions on the dynamics of these quantum resources in various models of open quantum systems.
- Score: 0.0
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: Quantum resource theories allow us to quantify a useful quantum phenomenon,
to develop new protocols for its detection and determine the exact processes
that maximize its use for practical tasks. These theories aim at transforming
physical phenomena, such as entanglement and quantum coherence, into useful
properties for the execution of concrete tasks related to quantum information.
In this thesis, we focus on the resource theories of entanglement, discord-like
quantum correlations, and quantum coherence, the most intriguing quantum
phenomena exploited so far in quantum information theory. We begin by
presenting in detail the theoretical tools of these quantum resources, focusing
on the most remarkable techniques and computational problems. In this sense, we
discuss several mathematical methods that solve some problems related to their
quantifications, and some analytical results for bipartite quantum systems are
given. We also examine the intrinsic connections between these quantum
resources by extracting the links that unite the corresponding measures. In
contrast, the revolution of quantum technology has led to a growing interest in
quantum metrology, and quantum entanglement has been employed to overcome the
classical limit in several quantum estimation protocols. In this work, we
analyze the role of quantum correlations beyond entanglement in improving the
accuracy of an unknown parameter. According to our results, correlations can be
captured using quantum Fisher information, and quantum discord correlations can
be exploited to ensure the accuracy of phase estimation protocols. This thesis
includes also the contributions on the dynamics of these quantum resources in
various models of open quantum systems. Among our objectives, is to study the
effects of the environment on these quantum resources and to obtain techniques
to protect them from the effects of intrinsic decoherence.
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