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Published on: June 8, 2018
Quantum Knowledge in Phase Space
1Courant 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.
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