Gaussian quantum metrology and space-time probes
In this thesis we focus on Gaussian quantum metrology in the phase-space formalism and its applications in quantum sensing and the estimation of space-time parameters. We derive new formulae for the optimal estimation of multiple parameters encoded into Gaussian states. We discuss the discontinuous...
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| Format: | Thesis (University of Nottingham only) |
| Language: | English |
| Published: |
2016
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| Online Access: | https://eprints.nottingham.ac.uk/37124/ |
| _version_ | 1848795395394633728 |
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| author | Šafránek, Dominik |
| author_facet | Šafránek, Dominik |
| author_sort | Šafránek, Dominik |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | In this thesis we focus on Gaussian quantum metrology in the phase-space formalism and its applications in quantum sensing and the estimation of space-time parameters. We derive new formulae for the optimal estimation of multiple parameters encoded into Gaussian states. We discuss the discontinuous behavior of the figure of merit -- the quantum Fisher information. Using derived expressions we devise a practical method of finding optimal probe states for the estimation of Gaussian channels and we illustrate this method on several examples. We show that the temperature of a probe state affects the estimation generically and always appears in the form of four multiplicative factors. We also discuss how well squeezed thermal states perform in the estimation of space-time parameters. Finally we study how the estimation precision changes when two parties exchanging a quantum state with the encoded parameter do not share a reference frame. We show that using a quantum reference frame could counter this effect. |
| first_indexed | 2025-11-14T19:31:24Z |
| format | Thesis (University of Nottingham only) |
| id | nottingham-37124 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T19:31:24Z |
| publishDate | 2016 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-371242025-02-28T11:51:04Z https://eprints.nottingham.ac.uk/37124/ Gaussian quantum metrology and space-time probes Šafránek, Dominik In this thesis we focus on Gaussian quantum metrology in the phase-space formalism and its applications in quantum sensing and the estimation of space-time parameters. We derive new formulae for the optimal estimation of multiple parameters encoded into Gaussian states. We discuss the discontinuous behavior of the figure of merit -- the quantum Fisher information. Using derived expressions we devise a practical method of finding optimal probe states for the estimation of Gaussian channels and we illustrate this method on several examples. We show that the temperature of a probe state affects the estimation generically and always appears in the form of four multiplicative factors. We also discuss how well squeezed thermal states perform in the estimation of space-time parameters. Finally we study how the estimation precision changes when two parties exchanging a quantum state with the encoded parameter do not share a reference frame. We show that using a quantum reference frame could counter this effect. 2016-12-14 Thesis (University of Nottingham only) NonPeerReviewed application/pdf en arr https://eprints.nottingham.ac.uk/37124/1/Thesis_Safranek.pdf Šafránek, Dominik (2016) Gaussian quantum metrology and space-time probes. PhD thesis, University of Nottingham. quantum metrology Gaussian states space-time parameters quantum reference frames |
| spellingShingle | quantum metrology Gaussian states space-time parameters quantum reference frames Šafránek, Dominik Gaussian quantum metrology and space-time probes |
| title | Gaussian quantum metrology and space-time probes |
| title_full | Gaussian quantum metrology and space-time probes |
| title_fullStr | Gaussian quantum metrology and space-time probes |
| title_full_unstemmed | Gaussian quantum metrology and space-time probes |
| title_short | Gaussian quantum metrology and space-time probes |
| title_sort | gaussian quantum metrology and space-time probes |
| topic | quantum metrology Gaussian states space-time parameters quantum reference frames |
| url | https://eprints.nottingham.ac.uk/37124/ |