Structured volume-law entanglement in an interacting, monitored Majorana spin liquid

Monitored quantum circuits allow for unprecedented dynamical control of many-body entanglement. Here we show that random, measurement-only circuits, implementing the competition of bond and plaquette couplings of the Kitaev honeycomb model, give rise to a structured volume-law entangled phase with s...

Full description

Saved in:
Bibliographic Details
Published in:Physical review research 2024-12, Vol.6 (4), p.L042063, Article L042063
Main Authors: Zhu, Guo-Yi, Tantivasadakarn, Nathanan, Trebst, Simon
Format: Article
Language:English
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Monitored quantum circuits allow for unprecedented dynamical control of many-body entanglement. Here we show that random, measurement-only circuits, implementing the competition of bond and plaquette couplings of the Kitaev honeycomb model, give rise to a structured volume-law entangled phase with subleading L ln L liquid scaling behavior. This interacting Majorana liquid takes up a highly symmetric, spherical parameter space within the entanglement phase diagram obtained when varying the relative coupling probabilities. The sphere itself is a critical boundary with quantum Lifshitz scaling separating the volume-law phase from proximate area-law phases, a color code or a toric code. An exception is a set of tricritical, self-dual points exhibiting effective ( 1 + 1 ) d conformal scaling at which the volume-law phase and both area-law phases meet. From a quantum information perspective, our results define error thresholds for the color code in the presence of projective error and stochastic syndrome measurements.
ISSN:2643-1564
2643-1564
DOI:10.1103/PhysRevResearch.6.L042063