4 citations · 11 across the 7 of their papers we have counts for
7 papers
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: 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…
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…
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…
Induced Hilbert Space, Markov Chain, Diffusion Map and Fock Space in Thermophysics
Xing M. Wang
In this article, we continue to explore Probability Bracket Notation (PBN), proposed in our previous article. Using both Dirac vector bracket notation (VBN) and PBN, we define indu…
Probability Bracket Notation, Markov Chains, Stochastic Processes, and Microscopic Probabilistic Processes
Xing M. Wang
Inspired by the Dirac vector probability notation (VPN), we propose the Probability Bracket Notation (PBN), a new set of symbols defined similarly (but not identically) as in the V…
Dirac Notation, Fock Space and Riemann Metric Tensor in Information Retrieval Models
Xing M. Wang
Using Dirac Notation as a powerful tool, we investigate the three classical Information Retrieval (IR) models and some their extensions. We show that almost all such models can be…