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2021

Decodable hybrid dynamics of open quantum systems with Z_2 symmetry

Li, Yaodong, Fisher, Matthew P. A.

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We explore a class of "open" quantum circuit models with local decoherence ("noise") and local projective measurements, each respecting a global Z_2 symmetry.

The model supports a spin glass phase where the Z_2 symmetry is spontaneously broken (not possible in an equilibrium 1d system), a paramagnetic phase characterized by a divergent susceptibility, and an intermediate "trivial" phase.
All three phases are also stable to Z_2-symmetric local unitary gates, and the dynamical phase transitions between the phases are in the percolation universality class.
The open circuit dynamics can be purified by explicitly introducing a bath with its own "scrambling" dynamics, as in [Bao, Choi, Altman, arXiv:2102.09164], which does not change any of the universal physics.

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