School of Mathematical Sciences

Model reduction for Quantum Walks and Open Systems

Wednesday 25th January 2023 (13:00-14:00)
Event Convenor Contact:
Speaker's Name: Prof. Francesco Ticozzi
Speaker's Affiliation: Department of Information Engineering, University of Padua
Speaker's Research Theme(s): Quantum information and metrology,Statistics and Probability
A common framework can be used to describe a wide variety of dynamics of interest for quantum walks, algorithms, and open systems, as well as classical hidden-Markov models (HMM). All these can be written as completely-positive trace-preserving dynamics (in discrete time for this talk), whose output of interest is a family of linear functionals of the state. We then leverage on linear system theory and an algebraic approach to realize a reduced model whose output matches the one of a target system. In doing this, we highlight the minimal resources needed to simulate a given process, probe its ``quantum-ness’’, and tackle an old open problem for HMM.

Venue: Online
Online Conference Link:

School of Mathematical Sciences

The University of Nottingham
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Nottingham, NG7 2RD

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