Construction and the ergodicity properties of dual unitary quantum circuits

  title={Construction and the ergodicity properties of dual unitary quantum circuits},
  author={M'arton Borsi and Bal{\'a}zs Pozsgay},
We consider one dimensional quantum circuits of the brickwork type, where the fundamental quantum gate is dual unitary. Such models are solvable: the dynamical correlation functions of the infinite temperature ensemble can be computed exactly. We review various existing constructions for dual unitary gates and we supplement them with new ideas in a number of cases. We discuss connections with various topics in physics and mathematics, including quantum information theory, tensor networks for the… 

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