Gibbs and Boltzmann entropy in classical and quantum mechanics

S Goldstein, JL Lebowitz, R Tumulka… - … mechanics and scientific …, 2020 - World Scientific
The Gibbs entropy of a macroscopic classical system is a function of a probability distribution
over phase space, ie, of an ensemble. In contrast, the Boltzmann entropy is a function on …

Quantum coarse-grained entropy and thermalization in closed systems

D Šafránek, JM Deutsch, A Aguirre - Physical Review A, 2019 - APS
We investigate the detailed properties of observational entropy, introduced by Šafránek et
al.[Phys. Rev. A 99, 010101 (2019) 10.1103/PhysRevA. 99.010101] as a generalization of …

“A few exciting words”: Information and entropy revisited

D Bawden, L Robinson - Journal of the Association for …, 2015 - Wiley Online Library
A review is presented of the relation between information and entropy, focusing on two main
issues: the similarity of the formal definitions of physical entropy, according to statistical …

Achieving the Landau bound to precision of quantum thermometry in systems with vanishing gap

MGA Paris - Journal of Physics A: Mathematical and Theoretical, 2015 - iopscience.iop.org
We address estimation of temperature for finite quantum systems at thermal equilibrium and
show that the Landau bound to precision $\delta {T}^{2}\propto {T}^{2} $, originally derived …

Quantum radar cost and practical issues

F Daum - IEEE Aerospace and Electronic Systems Magazine, 2020 - ieeexplore.ieee.org
We compute the minimum cost for an optimal quantum radar, and we compare it with the
cost of actual real world classical radars as a function of range. Our calculations show that …

Spontaneous Disentanglement and Thermalization

E Buks - Advanced Quantum Technologies, 2024 - Wiley Online Library
The problem of quantum measurement can be partially resolved by incorporating a process
of spontaneous disentanglement into quantum dynamics. A modified master equation is …

On quantum fluctuations relations with generalized energy measurements

AE Rastegin - International Journal of Theoretical Physics, 2018 - Springer
Quantum fluctuations relations are typically derived with projective measurements of energy
at the beginning and the end of the protocol. Though projective measurements are easy to …

Role of topology in determining the precision of a finite thermometer

A Candeloro, L Razzoli, P Bordone, MGA Paris - Physical Review E, 2021 - APS
Temperature fluctuations of a finite system follow the Landau bound δ T 2= T 2/C (T) where
C (T) is the heat capacity of the system. In turn, the same bound sets a limit to the precision …

Instantaneous Interactions Between Nanoparticles and Tumors Dictated by Bayes Theorem

H Nieto-Chaupis - 2023 International Conference on Electrical …, 2023 - ieeexplore.ieee.org
This paper focuses on the process of internalization for nanoparticles that have been sent as
part of a scheme of targeted drug delivery. In this manner, it is applied in a straightforward …

Quantum Mechanics of Theorem of Bayes Modeled by Machine Learning Principles

H Nieto-Chaupis - … IEEE/ACIS 23rd International Conference on …, 2022 - ieeexplore.ieee.org
A theory consisting in quantum mechanics and theorem of Bayes, is presented. In essence,
the Bayes probability has been built from two subspaces. While in one some quantum …