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We developed a quantum-classical algorithm for simulating Rohksar-Kivelson plaquette ladders on noisy quantum devices. Symmetries significantly reduce complexity, enabling efficient simulations of larger systems on current quantum hardware.

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Area of Science:

  • Quantum Computing
  • Condensed Matter Physics
  • Quantum Simulation

Background:

  • The Rohksar-Kivelson model describes interacting quantum systems on a lattice.
  • Simulating complex quantum dynamics on noisy intermediate-scale quantum (NISQ) devices is challenging.
  • Efficient algorithms are needed to leverage NISQ hardware for studying quantum models.

Purpose of the Study:

  • To develop and demonstrate a quantum-classical algorithm for simulating Rohksar-Kivelson plaquette ladder dynamics.
  • To explore methods for reducing computational complexity in quantum simulations on NISQ devices.
  • To assess the feasibility of simulating sizable plaquette ladders with current quantum hardware.

Main Methods:

  • A hybrid quantum-classical approach was employed.
  • Gauge invariance and additional symmetries were utilized to reduce complexity.
  • Exploited a property of plaquette blocking against ring-exchange in the ladder geometry.
  • Simulations were performed on an IBM-Q machine using scaled quantum gates.

Main Results:

  • The algorithm significantly reduces the complexity of simulating plaquette ladder dynamics.
  • Efficient simulation of up to 8 plaquettes was achieved on a NISQ device.
  • The method is well-suited for the capabilities of present NISQ devices.
  • Demonstrated the practical application of the algorithm on real quantum hardware.

Conclusions:

  • The developed quantum-classical algorithm offers an efficient pathway for studying Rohksar-Kivelson plaquette ladders.
  • Symmetries play a crucial role in enabling simulations of larger systems on NISQ devices.
  • This work paves the way for more complex quantum simulations on near-term quantum computers.