https://doi.org/10.1140/epjs/s11734-023-00955-w
Regular Article
Quantum error correction beyond the toric code: dynamical systems meet encoding
1
Theoretical Nuclear Physics and Quantum Computing Section, Nuclear Physics Division, Bhabha Atomic Research Centre, 400085, Mumbai, India
2
Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, 400094, Mumbai, India
3
UM-DAE Centre for Excellence in Basic Sciences, University of Mumbai, 400098, Mumbai, India
Received:
4
March
2023
Accepted:
19
July
2023
Published online:
2
August
2023
We construct surface codes corresponding to genus greater than one in the context of quantum error correction. 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. There is significant improvement in encoding rates and code distance, in addition to immunity against noise.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
