Entanglement phase transition with spin glass criticality
Disordered Systems and Neural Networks
2022-12-06 v2 Statistical Mechanics
Quantum Physics
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.
Keywords
Cite
@article{arxiv.2112.06939,
title = {Entanglement phase transition with spin glass criticality},
author = {Jeremy Côté and Stefanos Kourtis},
journal= {arXiv preprint arXiv:2112.06939},
year = {2022}
}
Comments
Updated to reflect published version