Spectral properties of quantum walk unitaries

The PDE & Analysis seminar covers topics in PDE and analysis.

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Date/time
14 Feb 2024 | 10:30am - 12pm
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Speakers

Chris Bourne (Nagoya University)
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Description

Abstract: 

Quantum walks were first defined as a quantum analogue of random walks and can also be used to model the discrete time evolution of a quantum mechanical Hamiltonian. In this talk, I will introduce an algebraic framework to compute the essential spectrum of quantum walk unitaries. Time permitting, I will also give some remarks about why scattering theory methods may also be of relevance to quantum walk systems.

This is partially based on work-in-progress with S. Richard and Y. Tanaka.

 

 

Location

145 Hanna Neumann Building, room 1.33

-35.275387198178, 149.11926090717