7 papers
Unified Framework for Direct and Complete Characterization of an Unknown Kraus Operator and Density Matrix Using a Single Input State
Sahil, Swarup Kumar Giri, Sohail
Characterization of quantum measurements and dynamical processes is typically performed using pure state preparations. However, in realistic experimental settings, the preparation…
Unified Framework for Direct Characterization of Kraus Operators, Observables, Density Matrices, and Weak Values Without Weak Interaction
Sahil, Sohail
Generalized quantum measurements, described by positive operator-valued measures (POVMs), are essential for modeling realistic processes in open quantum systems. While quantum proc…
Bochner's theorem for finite inverse semigroups and its connection to Choi's theorem
Sohail, Sahil
Bochner's theorem characterizes positive definite functions on groups through the positivity of their Fourier transforms and plays a fundamental role in Harmonic analysis. While Bo…
Architecting Digital Twins for Intelligent Transportation Systems
Hiya Bhatt, Sahil, Karthik Vaidhyanathan +4
Modern transportation systems face growing challenges in managing traffic flow, ensuring safety, and maintaining operational efficiency amid dynamic traffic patterns. Addressing th…
Post-Markovian master equation à la microscopic collisional model
Tanmay Saha, Sahil, K. P. Athulya +1
We derive a completely positive post-Markovian master equation (PMME) from a microscopic Markovian collisional model framework, incorporating bath memory effects via a probabilisti…
State-dependent and state-independent uncertainty relations for skew information and standard deviation
Sahil
In this work, we derive state-dependent uncertainty relations (uncertainty equalities) in which commutators of incompatible operators (not necessarily Hermitian) are explicitly pre…