Quantum mereology: Factorizing Hilbert space into subsystems with quasiclassical dynamics

SM Carroll, A Singh - Physical Review A, 2021 - APS
We study the question of how to decompose Hilbert space into a preferred tensor-product
factorization without any preexisting structure other than a Hamiltonian operator, in particular …

Quantum state reduction: Generalized bipartitions from algebras of observables

O Kabernik, J Pollack, A Singh - Physical Review A, 2020 - APS
Reduced density matrices are a powerful tool in the analysis of entanglement structure,
approximate or coarse-grained dynamics, decoherence, and the emergence of classicality. It …

The problem of identifying the system and the environment in the phenomenon of decoherence

O Lombardi, S Fortin, M Castagnino - EPSA Philosophy of Science …, 2011 - Springer
The term “decoherence” generally refers to the quantum process that supposedly turns a
pure state into a mixed state, which is diagonal in a well-defined basis. The orthodox …

Is the decoherence of a system the result of its interaction with the environment?

M Castagnino, S Fortin, O Lombardi - Modern Physics Letters A, 2010 - World Scientific
According to a usual reading, decoherence is a process resulting from the interaction
between a small system and its large environment where information and energy are …

The principle of locality: Effectiveness, fate, and challenges

S Doplicher - Journal of mathematical physics, 2010 - pubs.aip.org
The special theory of relativity and quantum mechanics merge in the key principle of
quantum field theory, the principle of locality. We review some examples of its …

On the lattice structure of probability spaces in quantum mechanics

F Holik, C Massri, A Plastino, L Zuberman - International Journal of …, 2013 - Springer
Let C be the set of all possible quantum states. We study the convex subsets of C with
attention focused on the lattice theoretical structure of these convex subsets and, as a result …

Suppression of decoherence in a generalization of the spin-bath model

M Castagnino, S Fortin… - Journal of Physics A …, 2010 - iopscience.iop.org
The works on decoherence due to spin baths usually agree in studying a one-spin system in
interaction with a large spin bath. In this paper we generalize those models by analyzing a …

Entanglement in the classical limit: Quantum correlations from classical probabilities

A Matzkin - Physical Review A—Atomic, Molecular, and Optical …, 2011 - APS
We investigate entanglement for a composite closed system endowed with a scaling
property which allows the dynamics to be kept invariant while the effective Planck constant ℏ …

A top-down view of the classical limit of quantum mechanics

S Fortin, O Lombardi - … Classical emergence from the quantum level, 2017 - World Scientific
The problem of the classical limit of quantum mechanics consists in explaining how the
classical realm “emerges” from the quantum domain. Although along the history of quantum …

Convex quantum logic

F Holik, C Massri, N Ciancaglini - International Journal of Theoretical …, 2012 - Springer
In this work we study the convex set of quantum states from a quantum logical point of view.
We consider an algebraic structure based on the convex subsets of this set. The relationship …