3 papers
quant-ph2025
Universal recoverability of quantum states in tracial von-Neumann algebras
Saptak Bhattacharya
In this paper, we discuss a refinement of quantum data processing inequality for the sandwiched quasi-relative entropy on a tracial von-Neumann algebra. The main re…
math.FA2025
Some non-commutative averaging theorems
Saptak Bhattacharya
Given any point on the closed unit disk can be written as the average of points on the unit circle . Here we discuss a no…
math.OA2025
Uncertainty principles on -algebras
Saptak Bhattacharya
In this paper we prove some uncertainty bounds for commutators and anti-commutators of observables in a -algebra. We give a short, elementary proof of Robertson's Standard Unc…