5 papers · 1 filter
Phenomenological quantum mechanics: II. Deducing the formalism from experimental observations
Piotr Szańkowski, Davide Lonigro, Fattah Sakuldee +2
We propose an exercise in which one attempts to deduce the formalism of quantum mechanics solely from phenomenological observations. The only assumed inputs are the multi-time prob…
A perturbation theory for multi-time correlation functions in open quantum systems
Piotr Szańkowski
Dynamical maps are the principal subject of the open system theory. Formally, the dynamical map of a given open quantum system is a density matrix transformation that takes any ini…
Phenomenological quantum mechanics: I. Phenomenology of quantum observables
Piotr Szańkowski, Davide Lonigro, Fattah Sakuldee +2
We propose an exercise in which one attempts to deduce the formalism of quantum mechanics solely from phenomenological observations. The only assumed inputs are obtained through se…
Double or nothing: a Kolmogorov extension theorem for multitime (bi)probabilities in quantum mechanics
Davide Lonigro, Fattah Sakuldee, Łukasz Cywiński +2
The multitime probability distributions obtained by repeatedly probing a quantum system via the measurement of an observable generally violate Kolmogorov's consistency property. Th…
Objectivity of classical quantum stochastic processes
Piotr Szańkowski, Łukasz Cywiński
We investigate what can be concluded about a quantum system when sequential quantum measurements of its observable -- a prominent example of the so-called quantum stochastic proces…