Quantum probes for minimum length estimation

Candeloro, Alessandro (2019) Quantum probes for minimum length estimation. [Laurea magistrale], Università di Bologna, Corso di Studio in Fisica [LM-DM270]
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In this thesis we address the estimation of the minimum length arising from gravitational theories. In particular, we use tools from Quantum Estimation theory to provide bounds on precision and to assess the use of quantum probes to enhance the estimation performances. After a brief introduction to classical estimation theory and to its quantum counterparts, we introduce the concept of minimum length and show how it induces a perturbative term appearing in the Hamiltonian of any quantum system, which is proportional to a parameter depending on the minimum length. We have then systematically studied the effects of this perturbation on different state preparations for several 1-dimensional systems, and evaluated the Quantum Fisher Information in order to find the ultimate bounds to the precision of any estimation procedure. Eventually, we have investigated the role of dimensionality on the precision, studying the 2-dimensional Harmonic oscillator. Our results provide a guideline to design possible future experiments to detect minimal length, and show the potential enhancement achievable using quantum probes.

Tipologia del documento
Tesi di laurea (Laurea magistrale)
Autore della tesi
Candeloro, Alessandro
Relatore della tesi
Correlatore della tesi
Corso di studio
Curriculum A: Teorico generale
Ordinamento Cds
Parole chiave
quantum estimation,quantum probes,minimum length,quantum fisher information
Data di discussione della Tesi
25 Ottobre 2019

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