Digital Quantum Simulation of Minimal AdS/CFT

L. García-Álvarez, I. L. Egusquiza, L. Lamata, A. del Campo, J. Sonner, and E. Solano
Phys. Rev. Lett. 119, 040501 – Published 25 July 2017
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Abstract

We propose the digital quantum simulation of a minimal AdS/CFT model in controllable quantum platforms. We consider the Sachdev-Ye-Kitaev model describing interacting Majorana fermions with randomly distributed all-to-all couplings, encoding nonlocal fermionic operators onto qubits to efficiently implement their dynamics via digital techniques. Moreover, we also give a method for probing nonequilibrium dynamics and the scrambling of information. Finally, our approach serves as a protocol for reproducing a simplified low-dimensional model of quantum gravity in advanced quantum platforms as trapped ions and superconducting circuits.

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  • Received 21 December 2016

DOI:https://doi.org/10.1103/PhysRevLett.119.040501

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGravitation, Cosmology & AstrophysicsCondensed Matter, Materials & Applied PhysicsInterdisciplinary PhysicsParticles & Fields

Authors & Affiliations

L. García-Álvarez1, I. L. Egusquiza2, L. Lamata1, A. del Campo3, J. Sonner4, and E. Solano1,5

  • 1Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, E-48080 Bilbao, Spain
  • 2Department of Theoretical Physics and History of Science, University of the Basque Country UPV/EHU, Apartado 644, E-48080 Bilbao, Spain
  • 3Department of Physics, University of Massachusetts, Boston, Massachusetts 02125, USA
  • 4Department of Theoretical Physics, University of Geneva, 24 quai Ernest-Ansermet, 1214 Genève 4, Switzerland
  • 5IKERBASQUE, Basque Foundation for Science, Maria Diaz de Haro 3, 48013 Bilbao, Spain

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Issue

Vol. 119, Iss. 4 — 28 July 2017

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