Structured volume-law entanglement in an interacting, monitored Majorana spin liquid
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1.
University of Cologne
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2.
California Institute of Technology
Abstract
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 LlnL 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.
Copyright and License
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Acknowledgement
We thank Michael Buchhold and Xhek Turkeshi for insightful discussions. The Cologne group was partially funded by the Deutsche Forschungsgemeinschaft under Germany's Excellence Strategy–Cluster of Excellence Matter and Light for Quantum Computing (ML4Q) EXC 2004/1–390534769 and within the CRC network TR 183 (Project Grant No. 277101999) as part of Project No. A04 and No. B01. N.T. is supported by the Walter Burke Institute for Theoretical Physics at Caltech. The numerical simulations were performed on the JUWELS cluster at the Forschungszentrum Juelich. G.Y.Z. would like to acknowledge the startup fund in HKUST(GZ).
Supplemental Material
Supplemental Material (PDF) for discussions of (i) frustration graph; (ii) alternative circuit implementation; and supplemental data for (i) free fermion; (ii) structured volume-law phase; (iii) topological entanglement entropy; and (iv) purification dynamics.
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Additional details
- Deutsche Forschungsgemeinschaft
- EXC 2004/1–390534769
- Deutsche Forschungsgemeinschaft
- 277101999
- Walter Burke Institute for Theoretical Physics
- Accepted
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2024-10-25Accepted
- Caltech groups
- Walter Burke Institute for Theoretical Physics
- Publication Status
- Published