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  3. Digital Quantum Magnetism On A Trapped-ion Quantum Computer.
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Digital quantum magnetism on a trapped-ion quantum computer.

R Haghshenas1, E Chertkov1, M Mills1

  • 1Quantinuum, Broomfield, CO, USA.

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View abstract on PubMed

Summary
This summary is machine-generated.

Digital quantum computers can simulate complex quantum systems, observing thermalization and emergent hydrodynamics in the quantum Ising model. Advanced gate quality enables these simulations, challenging classical methods and opening new research avenues.

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Area of Science:

  • Quantum Computing
  • Condensed Matter Physics
  • Quantum Simulation

Background:

  • Digital quantum matter, approximated by discrete quantum gates, is prone to heating into chaotic states.
  • Suppressing digitization errors allows observation of approximate energy-conserving dynamics in gate-based quantum computers.
  • Energy conservation facilitates the study of complex behaviors like thermalization and emergent properties in equilibrium systems.

Purpose of the Study:

  • To simulate digitized dynamics of the quantum Ising model on a gate-based quantum computer.
  • To explore thermalization and emergent phenomena in a regime challenging for classical simulation.
  • To investigate emergent hydrodynamics and topological constraints in quantum simulations.

Main Methods:

  • Utilized Quantinuum's H2 quantum computer for simulating digitized quantum Ising model dynamics.
  • Suppressed digitization errors to achieve a long-lived transient regime of approximate energy conservation.
  • Simulated dynamics on both a standard and a triangular lattice with periodic boundary conditions.

    • Main Results:

    • Observed thermalization on timescales that challenge classical simulation methods.
    • Revealed emergent hydrodynamics from approximate energy conservation and computed the diffusion constant.
    • Observed thermalization consistent with emergent gauge and topological constraints on a triangular lattice.

    Conclusions:

    • Digital quantum computers, with sufficiently suppressed errors and high gate fidelity, are powerful tools for studying effectively continuous-time quantum dynamics.
    • The study demonstrates the capability to observe complex quantum phenomena like emergent hydrodynamics and thermalization.
    • Advances in two-qubit gate quality are crucial for enabling these sophisticated quantum simulations.