Tilings, tessellations, and quantum codes

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• Sudhir R. Jain, Bhabha Atomic Research Centre, Mumbai
• Thursday 05 October 2023, 13:15-14:30
• Theory Library.

If you have a question about this talk, please contact Dr Hannah Price.

Error correction is the hallmark of computation. Error correcting codes developed for classical computation are based on ideas from discrete mathematics, tessellations, geometry, and number theory. Based on models in condensed matter physics, topological codes have been designed. We construct surface codes corresponding to genus greater than one in the context of quantum error correction which surpass the encoding rate of topological codes hitherto known. The architecture is inspired by the topology of invariant integral surfaces of certain non-integrable classical billiards. Corresponding to the fundamental domains of rhombus and square torus billiard, surface codes of genus two and five are presented here. These new codes pave the way to gauge theories with novel particles, which would be the subject for another day.

This talk is part of the Theoretical Physics Seminars series.

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• Bham Talks
• Theoretical Physics Seminars
• Theory Library
• What's on in Physics?

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