Unitary n-designs via random quenches in atomic Hubbard and spin models: Application to the measurement of Rényi entropies

B. Vermersch, A. Elben, M. Dalmonte, J. I. Cirac, and P. Zoller
Phys. Rev. A 97, 023604 – Published 2 February 2018

Abstract

We present a general framework for the generation of random unitaries based on random quenches in atomic Hubbard and spin models, forming approximate unitary n-designs, and their application to the measurement of Rényi entropies. We generalize our protocol presented in Elben et al. [Phys. Rev. Lett. 120, 050406 (2018)] to a broad class of atomic and spin-lattice models. We further present an in-depth numerical and analytical study of experimental imperfections, including the effect of decoherence and statistical errors, and discuss connections of our approach with many-body quantum chaos.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
1 More
  • Received 16 November 2017

DOI:https://doi.org/10.1103/PhysRevA.97.023604

©2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalQuantum Information, Science & Technology

Authors & Affiliations

B. Vermersch1,2, A. Elben1,2, M. Dalmonte3, J. I. Cirac4, and P. Zoller1,2,4

  • 1Institute for Theoretical Physics, University of Innsbruck, Innsbruck A-6020, Austria
  • 2Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, Innsbruck A-6020, Austria
  • 3The Abdus Salam International Center for Theoretical Physics, Strada Costiera 11, 34151 Trieste, Italy
  • 4Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, D-85748 Garching, Germany

See Also

Rényi Entropies from Random Quenches in Atomic Hubbard and Spin Models

A. Elben, B. Vermersch, M. Dalmonte, J. I. Cirac, and P. Zoller
Phys. Rev. Lett. 120, 050406 (2018)

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 97, Iss. 2 — February 2018

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×