MATH Semineri: “Quantum Markov Decision Processes”, Naci Saldı, 15:30 1 Nisan 2024 (EN)

You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.

Speaker: Nacı Saldı (Bilkent University)

“Quantum Markov Decision Processes”

Abstract: In this talk, we aim to develop a quantum counterpart to classical Markov decision processes (MDPs). We first present a comprehensive formulation of quantum MDPs with state and action spaces in the quantum domain, quantum transitions, and cost functions. The focus then shifts to establishing a verification theorem for Markovian quantum control policies. Subsequently, we introduce classes of open-loop and closed-loop policies and present their structural results. Finally, we develop algorithms for computing optimal policies and value functions for both open-loop and closed-loop policies using the duality between dynamic programming and semi- definite programming formulations.

Date: Monday, April 1, 2024
Time: 15:30 – 16:30
Place: Mathematics Seminar Room SA – 141