4 papers
Probability Bracket Notation: Multivariable Systems and Static Bayesian Networks
Xing M. Wang
We extend Probability Bracket Notation (PBN), inspired by the Dirac notation in quantum mechanics, to multivariable probability systems and static Bayesian networks (BNs). By defin…
From Dirac Notation to Probability Bracket Notation: Time Evolution and Path Integral under Wick Rotations
Xing M. Wang
In this work, we advance the development of the Probability Bracket Notation (PBN), a formalism inspired by Dirac's notation in quantum mechanics, to provide a unified framework fo…
Entropy Gain and Information Loss by Measurements
Xing M. Wang
When the von Neumann entropy (VNE) of a system increases due to measurements, certain information is lost, some of which may be recoverable. We define information retrievability (I…
Probability Bracket Notation, Wick-Matsubara Relation, Density Operators, and Microscopic Probability Modeling
Xing M. Wang
Following the Dirac vector bracket notation (VBN), we proposed the probability bracket notation (PBN) in our previous paper. We mentioned that under the special Wick rotation (imag…