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This study presents an accurate quantum simulation method using superconducting qubits to investigate condensed-matter systems. The approach achieves high fidelity, enabling the exploration of novel quantum materials.

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Area of Science:

  • Quantum Simulation
  • Condensed-Matter Physics
  • Superconducting Qubits

Background:

  • Quantum simulation offers a promising avenue for studying complex condensed-matter systems.
  • Current quantum simulation methods lack the accuracy required to surpass classical computational approaches.

Purpose of the Study:

  • To develop and demonstrate an accurate quantum simulation blueprint for investigating fundamental electronic properties of condensed-matter systems.
  • To benchmark the simulation method by reconstructing the band structure of a one-dimensional wire.

Main Methods:

  • Utilized an 18-superconducting-qubit platform for quantum simulation.
  • Implemented techniques for decoherence and readout error mitigation.
  • Employed Fourier transforms to analyze energy eigenvalues and spectral properties.
  • Synthesized magnetic flux and disordered local potentials to mimic condensed-matter conditions.

Main Results:

  • Achieved high-fidelity measurement of energy eigenvalues with an error of approximately 0.01 rad.
  • Demonstrated a statistical uncertainty of 10^-4 rad in resolving eigenenergies.
  • Observed avoided level crossings when sweeping magnetic flux, revealing disorder distribution.
  • Reconstructed electronic properties, including persistent currents and disorder-induced conductance suppression.

Conclusions:

  • Developed an accurate quantum simulation method suitable for studying condensed-matter systems.
  • The approach paves the way for exploring new quantum materials using superconducting qubits.
  • Successfully mitigated key errors in quantum computation, enhancing simulation fidelity.