Entanglement phase transition with spin glass criticality
- URL: http://arxiv.org/abs/2112.06939v2
- Date: Mon, 5 Dec 2022 16:40:38 GMT
- Title: Entanglement phase transition with spin glass criticality
- Authors: Jeremy C\^ot\'e, Stefanos Kourtis
- Abstract summary: We define an ensemble of random Clifford quantum circuits whose output state undergoes an entanglement phase transition.
We identify the entanglement phases using an order parameter that is accessible on a quantum chip.
Our work establishes an exact statistical mechanics theory of an entanglement phase transition.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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