Nonunitary entanglement dynamics in continuous-variable systems
Tianci Zhou, Xiao Dong Chen · Physical review. B./Physical review. B · 2021
Entanglement can experience a phase transition in quantum circuits with measurements. Though widely expected for qudit systems, the authors show the absence of transition in continuous variable models. They construct generic circuits with Gaussian unitaries and Gaussian measurements, whose entanglement always satisfies an area-law scaling for any finite measurement rate. The authors ascribe this to the imbalance of time scales, whereby the time to destroy entanglement is much shorter than the time to build it up due to the unbounded local Hilbert space.