# Integrable spin chains and the Clifford group

@inproceedings{Jones2021IntegrableSC, title={Integrable spin chains and the Clifford group}, author={Nick G. Jones and Noah Linden}, year={2021} }

. We construct new families of spin chain Hamiltonians that are local, integrable and translationally invariant. To do so, we make use of the Cliﬀord group that arises in quantum information theory. We consider translation invariant Cliﬀord group transformations that can be described by matrix product operators (MPOs). We classify the translation invariant Cliﬀord group transformations that consist of a shift operator and an MPO of bond dimension two—this includes transformations that preserve…

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