Quantum Knowledge in Phase Space

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number1227
Issue number8
StatePublished - Aug 2023


  • Bayesian statistics
  • Kullback–Liebler divergence
  • entanglement
  • entropy
  • interference

ASJC Scopus subject areas

  • Information Systems
  • Mathematical Physics
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Electrical and Electronic Engineering


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