Entanglement transitions from restricted Boltzmann machines

@article{Medina2021EntanglementTF,
  title={Entanglement transitions from restricted Boltzmann machines},
  author={Raimel Medina and Romain Vasseur and Maksym Serbyn},
  journal={Physical Review B},
  year={2021}
}
The search for novel entangled phases of matter has lead to the recent discovery of a new class of “entanglement transitions”, exemplified by random tensor networks and monitored quantum circuits. Most known examples can be understood as some classical ordering transitions in an underlying statistical mechanics model, where entanglement maps onto the free energy cost of inserting a domain wall. In this paper, we study the possibility of entanglement transitions driven by physics beyond such… Expand
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References

SHOWING 1-10 OF 87 REFERENCES
Measurement-induced criticality in random quantum circuits
We investigate the critical behavior of the entanglement transition induced by projective measurements in (Haar) random unitary quantum circuits. Using a replica approach, we map the calculation ofExpand
Quantum Entanglement in Neural Network States
Machine learning, one of today's most rapidly growing interdisciplinary fields, promises an unprecedented perspective for solving intricate quantum many-body problems. Understanding the physicalExpand
Unitary-projective entanglement dynamics
Starting from a state of low quantum entanglement, local unitary time evolution increases the entanglement of a quantum many-body system. In contrast, local projective measurements disentangleExpand
Entanglement transitions via space-time rotation of quantum circuits
Time evolution of quantum many-body systems typically leads to a state with maximal entanglement allowed by symmetries. Two distinct routes to impede entanglement growth are inducing localization viaExpand
Measurement-Induced Phase Transitions in the Dynamics of Entanglement
We define dynamical universality classes for many-body systems whose unitary evolution is punctuated by projective measurements. In cases where such measurements occur randomly at a finite rate $p$Expand
Entanglement transitions from holographic random tensor networks
Universal features in patterns of entanglement of quantum states provide valuable information-theoretical insights into complex quantum many-body phases and dynamics. This work uncovers a novel classExpand
Measurement-Driven Phase Transition within a Volume-Law Entangled Phase
We identify a phase transition between two kinds of volume-law entangled phases in non-local but few-body unitary dynamics with local projective measurements. In one phase, a finite fraction of theExpand
Neural-Network Quantum States, String-Bond States, and Chiral Topological States
Neural-Network Quantum States have been recently introduced as an Ansatz for describing the wave function of quantum many-body systems. We show that there are strong connections betweenExpand
Measurement-driven entanglement transition in hybrid quantum circuits
Quantum information tends to spread out in interacting systems, leading to thermalization as characterized by the volume-law entropy of entanglement, while local measurements that extract classicalExpand
Entanglement and the sign structure of quantum states
Many body quantum eigenstates of generic Hamiltonians at finite energy density typically satisfy "volume law" of entanglement entropy: the von Neumann entanglement entropy and the Renyi entropies forExpand
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