English

Quantum circuit at criticality

Disordered Systems and Neural Networks 2019-12-23 v1 Strongly Correlated Electrons Quantum Physics

Abstract

We study a simple quantum circuit model which, without need for fine tuning, is very close to sitting at the transition between ergodic and many-body localized (MBL) phases. We probe the properties of the model on large finite-size systems, using a matrix-free exact diagonalization method that takes advantage of the shallow nature of the circuit. Moreover, we provide a qualitative entanglement bottleneck picture to account for the close-to-critical nature of the model.

Keywords

Cite

@article{arxiv.1912.09489,
  title  = {Quantum circuit at criticality},
  author = {Nicolas Macé},
  journal= {arXiv preprint arXiv:1912.09489},
  year   = {2019}
}

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R2 v1 2026-06-23T12:51:40.160Z