Title
Irreversibility and entanglement spectrum statistics in quantum circuits
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
ISSN
1742-5468
Recommended Citation
"Irreversibility and entanglement spectrum statistics in quantum circuits" (2014). Faculty Bibliography 2010s. 6070.
https://stars.library.ucf.edu/facultybib2010/6070
Comments
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