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