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math.OA2026
Integration Theory for Completely positive Instruments: A Lyapunov-Type Theorem and Applications
Arghya Chongdar
We develop a theory of integration with respect to quantum instruments through two complementary approaches: a vector measure formulation based on Bartle's integration theory and a…
math.OA2025
Understanding Quantum Instruments Through the Analysis of -Convexity and Their Marginals
B. V. Rajarama Bhat, Arghya Chongdar, Sruthymurali
Quantum instruments are mathematical devices introduced to describe the conditional state change during a quantum process. They are completely positive map valued measures on measu…