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Gradient Echo Quantum Memory in Warm Atomic Vapor
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Self-verifying variational quantum simulation of lattice models.

C Kokail1,2, C Maier1,2, R van Bijnen1,2

  • 1Center for Quantum Physics, and Institute for Experimental Physics, University of Innsbruck, Innsbruck, Austria.

Nature
|May 17, 2019
PubMed
Summary

We present self-verifying hybrid quantum simulations of lattice models. This approach uses classical-quantum algorithms to study complex physics problems without direct Hamiltonian realization.

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Area of Science:

  • Condensed Matter Physics
  • High-Energy Physics
  • Quantum Information Science

Background:

  • Hybrid classical-quantum algorithms leverage quantum resources for optimization.
  • Variational quantum simulation offers a path to study complex quantum systems.
  • Analogue quantum simulation requires direct realization of the target Hamiltonian.

Purpose of the Study:

  • To demonstrate self-verifying hybrid variational quantum simulation of lattice models.
  • To enable the study of previously intractable quantum models.
  • To develop methods for verifying quantum simulations.

Main Methods:

  • Utilizing a programmable trapped-ion quantum co-processor with up to 20 qubits.
  • Employing hybrid variational algorithms with a classical-quantum feedback loop.
  • Generating entangled trial states that respect target Hamiltonian symmetries.
  • Focusing on the lattice Schwinger model, a 1D quantum electrodynamics gauge theory.

Main Results:

  • Experimental demonstration of hybrid variational quantum simulation.
  • Determination of ground states and energy gaps for the lattice Schwinger model.
  • Measurement of Schwinger Hamiltonian variances to provide algorithmic error estimates for energies.

Conclusions:

  • This work advances self-verifying quantum simulation techniques.
  • The approach allows studying diverse and complex quantum models beyond direct experimental realization.
  • Provides a step towards verifiable quantum simulations by quantifying algorithmic errors.