6 papers
Recoverable states on von-Neumann algebras
Saptak Bhattacharya
Let and be tracial von-Neumann algebras and let be a strictly completely positive, trace preserving map.…
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…
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…
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…
A proof of Sylvester's theorem
Saptak Bhattacharya
We give a new elementary proof of existence and uniqueness of a solution to the Sylvester equation
Approximate recoverability and the quantum data processing inequality
Saptak Bhattacharya
In this paper, we discuss the quantum data processing inequality and its refinements that are physically meaningful in the context of approximate recoverability. An important conje…