Description
Motivated by the extensive studies of measurement-only entanglement phase transitions in 1D, we implement a simple model of random non-commuting two qubit XX and ZZ measurements in 2D. We tune the probability of measuring XX and ZZ on horizontal and vertical bonds and use long range spin correlations as the order parameter. We find that when the system has subsystem symmetries, we get a second order phase transition and a critical point with logarithmic violation of area law. Without the subsystem symmetries, the transition immediately turns into a crossover. We also find points where long range spin correlation along rows and columns show a discontinuous phase transition. We also draw connections of this model to the error correcting Bacon-shor code.
| Presenter name | Vaibhav Sharma |
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