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arXiv · 2112.06939

Entanglement phase transition with spin glass criticality

Jeremy Côté·Stefanos Kourtis
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Abstract

We define an ensemble of random Clifford quantum circuits whose output state undergoes an entanglement phase transition between two volume-law phases as a function of measurement rate. Our setup maps exactly the output state to the ground space of a spin glass model. We identify the entanglement phases using an order parameter that is accessible on a quantum chip. We locate the transition point and evaluate a critical exponent, revealing spin glass criticality. Our work establishes an exact statistical mechanics theory of an entanglement phase transition.

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Jeremy Côté, Stefanos Kourtis. 2021-12-13. Entanglement phase transition with spin glass criticality. https://doi.org/10.1103/physrevlett.128.240601

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