Title

Irreversibility and entanglement spectrum statistics in quantum circuits

Authors

Authors

D. Shaffer; C. Chamon; A. Hamma;E. R. Mucciolo

Comments

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Abbreviated Journal Title

J. Stat. Mech.-Theory Exp.

Keywords

quantum chaos; entanglement in extended quantum systems (theory); Mechanics; Physics, Mathematical

Abstract

We show that in a quantum system evolving unitarily under a stochastic quantum circuit the notions of irreversibility, universality of computation, and entanglement are closely related. As the state evolves from an initial product state, it gets asymptotically maximally entangled. We define irreversibility as the failure of searching for a disentangling circuit using a Metropolis-like algorithm. We show that irreversibility corresponds to Wigner-Dyson statistics in the level spacing of the entanglement eigenvalues, and that this is obtained from a quantum circuit made from a set of universal gates for quantum computation. If, on the other hand, the system is evolved with a nonuniversal set of gates, the statistics of the entanglement level spacing deviates from Wigner-Dyson and the disentangling algorithm succeeds. These results open a new way to characterize irreversibility in quantum systems.

Journal Title

Journal of Statistical Mechanics-Theory and Experiment

Publication Date

1-1-2014

Document Type

Article

Language

English

First Page

15

WOS Identifier

WOS:000348709800007

ISSN

1742-5468

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