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Quantum Simulation Quantum Foundations

Optimality of Lindblad unfolding in measurement phase transitions

arXiv

Authors: Michael Kolodrubetz

Year

2021

Paper ID

41389

Status

Preprint

Abstract Read

~2 min

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Abstract

Entanglement phase transitions in hybrid quantum circuits describe individual quantum trajectories rather than the measurement-averaged ensemble, despite the fact that results of measurements are not conventionally used for feedback. Here, we numerically demonstrate that a class of generalized measurements with identical measurement-averaged dynamics give different phases and phase transitions. We show that measurement-averaged destruction of Bell state entanglement is a useful proxy for determining which hybrid circuit yields the lowest-entanglement dynamics. We use this to argue that no unfolding of our model can avoid a volume law phase, which has implications for simulation of open quantum systems.

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Entanglement phase transitions in hybrid quantum circuits describe individual quantum trajectories rather than the measurement-averaged ensemble, despite the fact that results...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2111.11391 [2] arXiv https://arxiv.org/abs/2111.11391 [3] Publisher https://arxiv.org/abs/2111.11391

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