Certification of spin-based quantum simulators

Abolfazl Bayat, Benoit Voisin, Gilles Buchs, Joe Salfi, Sven Rogge, and Sougato Bose
Phys. Rev. A 101, 052344 – Published 29 May 2020

Abstract

Quantum simulators are engineered devices controllably designed to emulate complex and classically intractable quantum systems. A key challenge is to certify whether the simulator truly mimics the Hamiltonian of interest. This certification step requires the comparison of a simulator's output to a known answer, which is usually limited to small systems due to the exponential scaling of the Hilbert space. Here, in the context of Fermi-Hubbard spin-based analog simulators, we propose a modular many-body spin to charge conversion scheme that scales linearly with both the system size and the number of low-energy eigenstates to discriminate. Our protocol is based on the global charge state measurement of a 1D spin chain performed at different detuning potentials along the chain. In the context of semiconductor-based systems, we identify realistic conditions for detuning the chain adiabatically to avoid state mixing while preserving charge coherence. Large simulators with vanishing energy gaps, including 2D arrays, can be certified block-by-block with a number of measurements scaling only linearly with the system size.

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  • Received 9 May 2019
  • Revised 12 November 2019
  • Accepted 28 April 2020

DOI:https://doi.org/10.1103/PhysRevA.101.052344

©2020 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Abolfazl Bayat1,2, Benoit Voisin3, Gilles Buchs3, Joe Salfi3,4, Sven Rogge3, and Sougato Bose2

  • 1Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 610051, China
  • 2Department of Physics and Astronomy, University College London, London WC1E 6BT, United Kingdom
  • 3Centre for Quantum Computation and Communication Technology, School of Physics, The University of New South Wales, Sydney, New South Wales 2052, Australia
  • 4Department of Electrical and Computer Engineering, University of British Columbia, Vancouver, BC V6T 1Z4, Canada

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Issue

Vol. 101, Iss. 5 — May 2020

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