• Corpus ID: 248887363

Topological phases of unitary dynamics: Classification in Clifford category

@inproceedings{Haah2022TopologicalPO,
  title={Topological phases of unitary dynamics: Classification in Clifford category},
  author={Jeongwan Haah},
  year={2022}
}
. A quantum cellular automaton (QCA) or a causal unitary is by definition an automorphism of local operator algebra, by which local operators are mapped to local operators. Quantum circuits of small depth, local Hamiltonian evolutions for short time, and translations (shifts) are examples. A Clifford QCA is one that maps any Pauli operator to a finite tensor product of Pauli operators. Here, we obtain a complete table of groups C ( d , p ) of translation invariant Clifford QCA in any spatial… 

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