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Variational preparation of finite-temperature states on a quantum computer (Part 1: theory)

ORAL

Abstract

Simulating quantum phenomena is one of the most promising applications of Noisy Intermediate Scale Quantum (NISQ) computing systems. In particular, the ability to represent the dynamical evolution of many-body systems has been demonstrated1. However, the accuracy of these simulations depends on efficient initial state preparation in the quantum computer. Studying temperature-dependent phenomena, like high temperature superconductivity, requires the preparation of thermal equilibrium states called Gibbs states within the NISQ qubit ensembles. Here, we describe a procedure to generate finite-temperature Gibbs states for the transverse-field Ising chain Hamiltonian, via preparation of thermofield double (TFD) states. The TFD states are generated using a hybrid quantum-classical variational algorithm, whose advantages and limitations we discuss.
1S. Lloyd, Science 273, 1073 (1996).

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Presenters

  • Shavindra Premaratne

    Intel Labs, Intel Corporation, Intel Labs

Authors

  • Shavindra Premaratne

    Intel Labs, Intel Corporation, Intel Labs

  • Ramiro Sagastizabal

    Delft University of Technology, QuTech and Kavli Institute of Nanoscience, Delft University of Technology, QuTech

  • Sonika Johri

    Intel Corporation - Hillsboro, IonQ, Inc., IonQ Inc., IonQ, Intel Labs

  • Xiang Zou

    Intel Labs, Intel Corporation, Intel Labs

  • Berend Klaver

    QuTech and Kavli Institute of Nanoscience, Delft University of Technology, QuTech

  • Michiel Adriaan Rol

    Orange Quantum Systems, QuTech and Kavli Institute of Nanoscience, Delft University of Technology, QuTech

  • Victor Negîrneac

    Qblox BV, QuTech and Kavli Institute of Nanoscience, Delft University of Technology, QuTech

  • Miguel S Moreira

    Delft University of Technology, QuTech and Kavli Institute of Nanoscience, Delft University of Technology, QuTech

  • Nandini Muthusubramanian

    QuTech, Delft University of Technology, Delft University of Technology, QuTech and Kavli Institute of Nanoscience, Delft University of Technology, QuTech

  • Marc Beekman

    Netherlands Organization for Scientific Research (TNO), Netherlands Organisation for Applied Scientific Research (TNO)

  • Chris Zachariadis

    QuTech, Delft University of Technology, Delft University of Technology, QuTech and Kavli Institute of Nanoscience, Delft University of Technology, QuTech

  • Viacheslav Ostroukh

    Kavli Institute of Nanoscience, Delft University of Technology, Kavli Institute of Nanoscience

  • Nadia Haider

    Delft University of Technology, Netherlands Organization for Scientific Research (TNO), Netherlands Organisation for Applied Scientific Research (TNO)

  • Alessandro Bruno

    QuTech, Delft University of Technology, Delft University of Technology, QuTech and Kavli Institute of Nanoscience, Delft University of Technology, QuTech

  • Leonardo DiCarlo

    QuTech, Delft University of Technology, Delft University of Technology, QuTech and Kavli Institute of Nanoscience, Delft University of Technology, QuTech

  • Anne Matsuura

    Intel Corporation - Hillsboro, Intel Labs, Intel Corporation, Intel Labs