Entanglement phase transition with spin glass criticality

TL;DR

This paper introduces a model of random Clifford circuits exhibiting an entanglement phase transition between volume-law phases, linked to spin glass criticality, with implications for quantum information and statistical mechanics.

Contribution

It establishes an exact statistical mechanics framework connecting entanglement transitions in quantum circuits to spin glass models, with experimentally accessible order parameters.

Findings

Identified entanglement phase transition points.

Measured critical exponents indicating spin glass criticality.

Mapped quantum circuit output states to spin glass ground states.

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.