Proposal for Quantum Simulation via All-Optically-Generated Tensor Network States

I. Dhand, M. Engelkemeier, L. Sansoni, S. Barkhofen, C. Silberhorn, and M. B. Plenio
Phys. Rev. Lett. 120, 130501 – Published 27 March 2018
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Abstract

We devise an all-optical scheme for the generation of entangled multimode photonic states encoded in temporal modes of light. The scheme employs a nonlinear down-conversion process in an optical loop to generate one- and higher-dimensional tensor network states of light. We illustrate the principle with the generation of two different classes of entangled tensor network states and report on a variational algorithm to simulate the ground-state physics of many-body systems. We demonstrate that state-of-the-art optical devices are capable of determining the ground-state properties of the spin-1/2 Heisenberg model. Finally, implementations of the scheme are demonstrated to be robust against realistic losses and mode mismatch.

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  • Received 26 October 2017
  • Revised 16 January 2018

DOI:https://doi.org/10.1103/PhysRevLett.120.130501

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalQuantum Information, Science & Technology

Authors & Affiliations

I. Dhand1,2, M. Engelkemeier3, L. Sansoni3, S. Barkhofen3, C. Silberhorn3, and M. B. Plenio1,2

  • 1Institut für Theoretische Physik, Albert-Einstein-Allee 11, Universität Ulm, 89069 Ulm, Germany
  • 2Center for Integrated Quantum Science and Technology (IQST), Albert-Einstein-Allee 11, Universität Ulm, 89069 Ulm, Germany
  • 3Department of Physics and CeOPP, University of Paderborn, Warburger Strasse 100, D-33098 Paderborn, Germany

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Issue

Vol. 120, Iss. 13 — 30 March 2018

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