Quantum mechanics as Bayesian complex probability theory

S Youssef - Modern Physics Letters A, 1994 - World Scientific
As a possible alternative to conventional quantum mechanics, the Bayesian version of
probability theory is extended to include complex probabilities. An additional assumption of …

Maximum entropy and approximate descriptions of pure states

AR Plastino, A Plastino - Physics Letters A, 1993 - Elsevier
Maximum entropy and approximate descriptions of pure states Page 1 Physics Letters A 181
(1993) 446—449 North-Holland PHYSICS LETTERS A Maximum entropy and approximate …

Quantum covariance scalar products and efficient estimation of maximum-entropy projections

FTB Pérez, JM Matera - Physical Review A, 2024 - APS
The maximum-entropy principle (max-ent) is a valuable and extensively used tool in
statistical mechanics and quantum information theory. It provides a method for inferring the …

Information and metrics in Hilbert space

M Ravicule, M Casas, A Plastino - Physical Review A, 1997 - APS
The concept of distance in Hilbert space is relevant in a variety of scenarios, in particular for
investigating the quality of different approximations. In this work we study the relations …

Maximum-entropy approach to critical phenomena in ground states of finite systems

L Arrachea, N Canosa, A Plastino, M Portesi… - Physical Review A, 1992 - APS
A scheme for detecting signatures of phase transitions associated with pure quantum states,
from the knowledge of a limited set of expectation values, is introduced. An accurate …

Quantum entropy for nuclei

CP Panos, SE Massen - International Journal of Modern Physics E, 1997 - World Scientific
The position-and momentum-space information entropies of nuclei are calculated in the
framework of two models of the nucleus, ie the harmonic oscillator shell model and a …

Statistical treatment of autonomous systems with divergencelless flows

AR Plastino, A Plastino - Physica A: Statistical Mechanics and its …, 1996 - Elsevier
Statistical Mechanics (SM) has been quite successful in providing one with exact, or at least
approximate, descriptions of the time-dependent solutions of the Liouville (or of the von …

Maximum-entropy-correlated ground state and the description of collective excitations

N Canosa, A Plastino, R Rossignoli - Nuclear Physics A, 1992 - Elsevier
An approach to the collective excitations of a many-body system, derived from a special
maximum-entropy-based variational approximation for the ground state, is developed and …

Quantum Covariance Scalar Products, Thermal Correlations and Efficient Estimation of Max-Ent projections

FTB Pérez, JM Matera - arXiv preprint arXiv:2307.08683, 2023 - arxiv.org
The maximum-entropy principle (Max-Ent) is a valuable and extensively used tool in
statistical mechanics and quantum information theory. It provides a method for inferring the …

Quantum inference methods and hypervirial theorems

AR Plastino, M Casas, A Plastino, A Puente - Physical Review A, 1995 - APS
Arguments of the Jaynes maximum entropy sort have proved to be surprisingly successful in
providing one with approximate descriptions of pure states in a variety of scenarios, entirely …