Saptak Bhattacharya

collaborators

5 papers

quant-ph2026

Recoverable states on von-Neumann algebras

Saptak Bhattacharya

Let $(M, I ¨ )$ and $(N, I ¨ ^{'})$ be tracial von-Neumann algebras and let $I ¨ : M \to N$ be a strictly completely positive, trace preserving ma…

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 $S_{2}$ on a tracial von-Neumann algebra. The main re…

math.FA2025

Some non-commutative averaging theorems

Saptak Bhattacharya

Given $n \in N$ any point on the closed unit disk $D$ can be written as the average of $n$ points on the unit circle $S^{1}$ . Here we discuss a no…

quant-ph2025

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…

math.OA2025

Uncertainty principles on $C^{*}$ -algebras

Saptak Bhattacharya

In this paper we prove some uncertainty bounds for commutators and anti-commutators of observables in a $C^{*}$ -algebra. We give a short, elementary proof of Robertson's Standard Unc…

Recoverable states on von-Neumann algebras

Universal recoverability of quantum states in tracial von-Neumann algebras

Some non-commutative averaging theorems

Approximate recoverability and the quantum data processing inequality

Uncertainty principles on C∗-algebras

Uncertainty principles on $C^{*}$ -algebras