5 papers
On the EPR paradox in systems with finite number of levels (Revised)
Henryk Gzyl
In this work we reexamine the EPR paradox for composite systems with a finite number of levels. The analysis emphasizes the connection between measurements and conditional probabil…
A predictive solution of the EPR paradox
Henryk Gzyl
In this work, we examine the paradox proposed by Einstein, Podolsky, and Rosen (EPR). They argued that since one may know the exact momentum of a particle without measurement and s…
Classification by Separating Hypersurfaces: An Entropic Approach
Argimiro Arratia, Mahmoud El Daou, Henryk Gzyl
We consider the following classification problem: Given a population of individuals characterized by a set of attributes represented as a vector in , the goal is to…
Determining a credit transition matrix from cumulative default probabilities
Henryk Gzyl, Silvia Mayoral
To quantify the changes in the credit rating of a bond is an important mathematical problem for the credit rating industry. To think of the credit rating as the state a Markov chai…
Qubit thermalization by random pulses: Asymptotic state factorization
Henryk Gzyl
Here we consider an analytically tractable model of a two level quantum system subject to random shocks and prove that it decays asymptotically to a trivial state, that is, to a st…