3 papers
math.FA2026
Pure matrix states on block Toeplitz matrices
Tirthankar Bhattacharyya, Ritul Duhan
Let denote the operator system of all block Toeplitz matrices with entries $T_k \in M_m(\mathbb C)…
math.OA2026
Pure UCP Maps on Finite Toeplitz Systems and Quantum Gromov--Hausdorff Convergence
Ritul Duhan, Abhay Jindal
We study pure unital completely positive maps on the finite Toeplitz operator system of Toeplitz matrices. Our first main result gives an explicit characteriz…
math.OA2025
Gromov-Hausdorff convergence of metric spaces of UCP maps
Tirthankar Bhattacharyya, Ritul Duhan, Chandan Pradhan
It is shown that van Suijlekom's technique of imposing a set of conditions on operator system spectral triples ensures Gromov-Hausdorff convergence of sequences of sets of unital c…