CORDIS Project
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This project proposes a novel approach to studying quantum systems using Cayley lattices, which allow for non-commutative translations in flat space. It aims to explore new physical phenomena and enhance material design through algebraic methods.
Most condensed matter physics happens on lattices with commuting translations—move right then up equals up then right.
But hyperbolic lattices break this: translations become non-Abelian (NAB) or non-commutative, bringing remarkable physics—novel phases from single particle to many-body, superior quantum error correction, enhanced AI memory.
Problem: hyperbolic lattices need exponentially growing connections, impractical to scale.I propose Cayley lattices (CayLats):
NAB translations in flat spac…
UNIVERSITAT ZURICH
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