# The PIMS Postdoctoral Fellow Seminar: Christopher M van Bommel

## Topic

Quantum State Transfer on Graphs

## Details

Quantum computing is believed to provide many advantages over traditional computing, particularly considering the speed at which computations can be performed. One of the challenges that needs to be resolved in order to construct a quantum computer is the transmission of information from one part of the computer to another. This transmission can be implemented by spin chains, which can be modeled as a graph, and analyzed using algebraic graph theory. The ideal situation is that of perfect state transfer, where there exists a time interval during which the information is perfectly moved from one location to another. As perfect state transfer is relatively rare, we also consider pretty good state transfer, where for any desired level of accuracy, there exists a time interval during which the information transfer achieves this accuracy. We will discuss determining whether graphs admit perfect or pretty good state transfer.

This event is part of the Emergent Research: The PIMS Postdoctoral Fellow Colloquium Series.

This event took place via zoom, and a recording is available on mathtube.org. To learn about other events in this series and to receive connection details, please register for the event mailing list.

## Additional Information

Christopher van Bommel, University of Manitoba

Bio: Christopher van Bommel is a PIMS PDF (2020) at the University of Manitoba. He obtained his Ph.D. from the University of Waterloo in 2019 under the supervision of Chris Godsil. His research interests include quantum walks, spectral graph theory, design theory, and domination.

**Scientific, Seminar**

**January 13, 2021**

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