Quantum Knowledge in Phase Space

Author:

Geiger Davi1ORCID

Affiliation:

1. Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA

Abstract

Quantum physics through the lens of Bayesian statistics considers probability to be a degree of belief and subjective. A Bayesian derivation of the probability density function in phase space is presented. Then, a Kullback–Liebler divergence in phase space is introduced to define interference and entanglement. Comparisons between each of these two quantities and the entropy are made. A brief presentation of entanglement in phase space to the spin degree of freedom and an extension to mixed states completes the work.

Funder

National Science Foundation

Simons Foundation Institute

Publisher

MDPI AG

Subject

General Physics and Astronomy

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