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Nevin Manimala Statistics

Entanglement Phase Transition with Spin Glass Criticality

Phys Rev Lett. 2022 Jun 17;128(24):240601. doi: 10.1103/PhysRevLett.128.240601.

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 Letter establishes an exact statistical mechanics theory of an entanglement phase transition.

PMID:35776455 | DOI:10.1103/PhysRevLett.128.240601

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