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Quantum simulation of fermionic systems using hybrid digital-analog quantum computing approach.

N M Guseynov1,2, W V Pogosov1,3,4

  • 1Dukhov Research Institute of Automatics (VNIIA), Moscow, Russia.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|April 21, 2022
PubMed
Summary
This summary is machine-generated.

A novel hybrid digital-analog quantum computing method simulates fermionic systems without standard two-qubit gates. Optimal qubit connectivity, like chains or ladders, enhances simulations of quantum materials and molecules.

Keywords:
Hubbard modelTrotter evolutionelectronic structurefermionic swap networkquantum algorithms

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Area of Science:

  • Quantum Computing
  • Computational Physics
  • Quantum Simulation

Background:

  • Standard quantum computing often relies on two-qubit gates, which can be resource-intensive.
  • Simulating fermionic systems is crucial for understanding quantum materials and molecules.
  • Hybrid digital-analog quantum computing offers a potential alternative to gate-based approaches.

Purpose of the Study:

  • To explore a hybrid digital-analog quantum computing approach for implementing quantum algorithms.
  • To demonstrate the application of this approach for simulating fermionic system dynamics, specifically the Fermi-Hubbard model.
  • To investigate the impact of connectivity topology, interaction constants, and entangling errors on simulation accuracy.

Main Methods:

  • Utilizing an always-on qubit interaction as an alternative to standard two-qubit gates.
  • Employing a fermionic SWAP network and refocusing techniques for simulation.
  • Analyzing the effects of different qubit connectivity topologies (chain, ladder) and interaction parameter distributions.

Main Results:

  • The hybrid approach enables the implementation of quantum algorithms without requiring standard two-qubit gates.
  • Successful simulation of fermionic system dynamics, including the Fermi-Hubbard model, was achieved.
  • An optimal connectivity topology was identified: a chain for spinless fermions and a ladder for spin 1/2 particles.

Conclusions:

  • The hybrid digital-analog quantum computing approach provides a viable alternative for quantum algorithm implementation.
  • Simple qubit connectivity topologies like chains and ladders are optimal for simulating fermionic systems.
  • This method shows promise for the quantum simulation of complex quantum materials and molecules.