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arXiv · 2309.04520

Separate measurement- and feedback-driven entanglement transitions in the stochastic control of chaos

Conner LeMaire·Andrew A. Allocca·J. H. Pixley·Thomas Iadecola·Justin H. Wilson
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Abstract

We study measurement-induced entanglement and control phase transitions in a quantum analog of the Bernoulli map subjected to a classically-inspired control protocol. When entangling gates are restricted to the Clifford group, separate entanglement ($p_\mathrm{ent}$) and control ($p_\mathrm{ctrl}$) transitions emerge, revealing two distinct universality classes. The control transition has critical exponents $\nu$ and $z$ consistent with the classical map (a random walk) while the entanglement transition is revealed to have similar exponents as the measurement-induced phase transition in Clifford hybrid dynamics. This is distinct from the case of generic entangling gates in the same model, where $p_\mathrm{ent} = p_\mathrm{ctrl}$ and universality is controlled by the random walk.

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Conner LeMaire, Andrew A. Allocca, J. H. Pixley, Thomas Iadecola, Justin H. Wilson. 2023-09-08. Separate measurement- and feedback-driven entanglement transitions in the stochastic control of chaos. https://arxiv.org/abs/2309.04520

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