Entanglement Phase Transition with Spin Glass Criticality
ORAL
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 provides an exact map between the entanglement entropy of the quantum state and the ground-state entropy of a spin glass model. We identify the entanglement phases using an order parameter that is accessible on a quantum chip. We extract the critical exponents, which reveal spin glass criticality. Our work establishes an exact statistical mechanics theory of an entanglement phase transition.
*This work was supported by the Ministère de l'Économie et de l'Innovation du Québec via its contributions to its Research Chair in Quantum Computing and to the IBM Q Hub of Institut quantique at Université de Sherbrooke. Jeremy acknowledges the support of a B2X scholarship from the Fonds de recherche--Nature et technologies and a scholarship from the Natural Sciences and Engineering Research Council of Canada.
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Presenters
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Jeremy Côté
- Université de Sherbrooke