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- W4384920246 abstract "In this thesis we deal with two different topics. In the first half we investigate how the Bayesian formalism can be introduced into the problem of quantum thermometry -- a field which exploits the high level of control in coherent devices to offer enhanced precision for temperature estimation. In particular, we investigate concrete estimation strategies, with focus on collisional thermometry, a protocol where a series of ancillae are sent sequentially to probe the system's temperature. We put forth a complete framework for analyzing collisional thermometry using Bayesian inference. The approach is easily implementable and experimentally friendly. Moreover, it is guaranteed to always saturate the Cram'er-Rao bound in the long-time limit. Subtleties concerning the prior information about the system's temperature are also discussed and analyzed in terms of a modified Cram'er-Rao bound associated with Van Trees and Schutzenberger. Meanwhile, in the last part of the thesis we approach the problem of non-adiabatic holonomic computation. Namely, we investigate the implementation based on $Lambda$-systems. It is known that a three-level system can be used in a $Lambda$-type configuration in order to construct a universal set of quantum gates through the use of non-Abelian nonadiabatic geometrical phases. Such construction allows for high-speed operation times which diminish the effects of decoherence. This might be, however, accompanied by a breakdown of the validity of the rotating-wave approximation (RWA) due to the comparable timescale between counter-rotating terms and the pulse length, which greatly affects the dynamics. Here, we investigate the trade-off between dissipative effects and the RWA validity, obtaining the optimal regime for the operation of the holonomic quantum gates." @default.
- W4384920246 created "2023-07-21" @default.
- W4384920246 creator A5089043389 @default.
- W4384920246 date "2023-07-16" @default.
- W4384920246 modified "2023-09-24" @default.
- W4384920246 title "Bayesian estimation for collisional thermometry and time-optimal holonomic quantum computation" @default.
- W4384920246 doi "https://doi.org/10.48550/arxiv.2307.10175" @default.
- W4384920246 hasPublicationYear "2023" @default.
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