Entanglement phase transition with spin glass criticality

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.

arXiv commentUpdated to reflect published version

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• Low-depth Clifford circuits approximately solve MaxCut
• Phase transitions induced by standard and predetermined measurements in transmon arrays
• Qubit Vitrification and Entanglement Criticality on a Quantum Simulator
• Measurement-induced phase transition in periodically driven free-fermionic systems