From dual-unitary to biunitary: a 2-categorical model for exactly-solvable many-body quantum dynamics
Pieter W Claeys,
Austen Lamacraft,
Jamie Vicary
Abstract:Dual-unitary brickwork circuits are an exactly-solvable model for many-body chaotic quantum systems, based on 2-site gates which are unitary in both the time and space directions. Prosen has recently described an alternative model called dual-unitary interactions round-a-face, which we here call clockwork, based on 2-controlled 1-site unitaries composed in a non-brickwork structure, yet with many of the same attractive global properties. We present a 2-categorical framework that simultaneously generalizes the… Show more
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