Conditional Probabilities and Measurements

Roberto Laura, Leonardo Vanni

Jeffrey Zheng

Two quantum interactive experiments are shown in strong wave-like interference properties,ie Young double slit experiment and very lower intensive and very long time explosin experiment for quanta.This paper is based on a classical statistic scheme: Bayes statistics on Conditional Probability to propose conditional probability measurements and relevant statistcal models to visualized complex properties of their interactions.Variant measurement simulation model is established and corresponding measring equations and perameters are formulated.Two typical cases are selected and each time has corresponding to four groups of results in 16 histograms.Under this construction,it is feasible to understand the intrinsic wave-like properties of quantum interactions.Under the conditional probability model,intrinsic wave-like statistical distributions are observed on both normal conditions and interferenced conditions in their spatial statistical distributions respectively.

Emilio d’Emilio, Luigi E. Picasso

Emilio d’Emilio, Luigi E. Picasso

Martino Trassinelli

Considering a minimal number of assumptions and in the context of the timeless formalism, conditional probabilities are derived for subsequent measurements in the nonrelativistic regime. Only unitary transformations are considered with detection processes described by generalized measurements (positive operator valued measures). One-time conditional probabilities are unambiguously derived via the Gleason-Bush theorem, including for puzzling cases like the Wigner's-friend scenario where their form underlines the relativity aspect of measurements. No paradoxical situations emerge, and the roles of Wigner and Wigner can be seen by his friend as being in a superposition.

Martino Trassinelli

Considering a minimal number of assumptions and in the context of the timeless formalism, conditional probabilities are derived for subsequent measurements in the non-relativistic regime. Only unitary transformations are considered with detection processes described by generalized measurements (POVM). One-time conditional probabilities are unambiguously derived via the Gleason-Bush theorem, including for puzzling cases like the Wigner's friend scenario where their form underlines the relativity aspect of measurements. No paradoxical situations emerge and the roles of Wigner and Wigner can be seen by his friend as being in a superposition.