Corpus ID: 227239043

A converse to Lieb-Robinson bounds in one dimension using index theory

  title={A converse to Lieb-Robinson bounds in one dimension using index theory},
  author={Daniel Ranard and Michael Walter and Freek Witteveen},
  journal={arXiv: Quantum Physics},
Unitary dynamics with a strict causal cone (or "light cone") have been studied extensively, under the name of quantum cellular automata (QCAs). In particular, QCAs in one dimension have been completely classified by an index theory. Physical systems often exhibit only approximate causal cones; Hamiltonian evolutions on the lattice satisfy Lieb-Robinson bounds rather than strict locality. This motivates us to study approximately locality preserving unitaries (ALPUs). We show that the index… Expand

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