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Qudit-Native Simulation of the Potts Model.

Maksim A Gavreev1, Evgeniy O Kiktenko1, Aleksey K Fedorov1

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Summary
This summary is machine-generated.

This study introduces novel qudit-native decomposition schemes for simulating high-dimensional quantum many-body systems, specifically the Potts model. These methods enable efficient digital quantum simulation and detection of quantum phase transitions on trapped-ion platforms.

Keywords:
Potts modelSuzuki–Trotter decompositionquantum simulationquditstrapped ions

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Quantum Computing

Background:

  • Simulating complex quantum systems, particularly high-dimensional many-body models like the Potts model, presents significant computational challenges.
  • Existing methods struggle with the complexity and dimensionality inherent in these quantum simulations.

Purpose of the Study:

  • To develop efficient qudit-native decomposition schemes for simulating the Potts model.
  • To enable digital quantum simulation of high-dimensional many-body systems using qudit architectures.
  • To demonstrate the detection of dynamical quantum phase transitions using these new simulation techniques.

Main Methods:

  • Proposed two qudit-native Suzuki-Trotter decomposition schemes for the Potts model.
  • Utilized Mølmer-Sørensen gates and local levels for one scheme, and a light-shift gate for the other.
  • Mapped Potts model dynamics to hardware-efficient qudit gate sequences for trapped-ion platforms.
  • Employed Suzuki-Trotter approximation within an evolution-into-gates framework.

Main Results:

  • Successfully demonstrated efficient mapping of the Potts model dynamics onto qudit gate sequences.
  • Showcased the detection of dynamical quantum phase transitions using the developed framework.
  • Established a pathway for qudit-based digital quantum simulation of many-body models.

Conclusions:

  • The proposed qudit-native decompositions offer an efficient approach to simulating high-dimensional quantum many-body models.
  • This work provides a new perspective for probing non-analytic behavior in complex quantum systems.
  • The findings pave the way for advancements in qudit-based quantum simulation and quantum computing applications.