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Updated: May 21, 2025
07:46
Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
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Suppressing nonperturbative gauge errors in the thermodynamic limit using local pseudogenerators.
Maarten Van Damme1, Julius Mildenberger2, Fabian Grusdt3,4
1Department of Physics and Astronomy, University of Ghent, Krijgslaan 281, 9000 Gent, Belgium.
Communications Physics
|March 21, 2025
Summary
A new gauge protection scheme using local pseudogenerators effectively safeguards quantum simulations of lattice gauge theories against nonperturbative errors. This method demonstrates robustness in analog quantum simulators and finite quantum computers, ensuring gauge invariance.
Area of Science:
- Quantum Information Science
- Condensed Matter Physics
- High Energy Physics
Background:
- Quantum simulations of lattice-gauge theories require robust gauge symmetry protection.
- A recently proposed scheme utilizes local pseudogenerators for gauge protection.
- Previous studies confirmed its efficacy against perturbative errors in finite analog quantum simulators.
Purpose of the Study:
- To investigate the efficacy of the local pseudogenerator scheme against nonperturbative errors in analog quantum simulators.
- To assess the scheme's performance in the thermodynamic limit and for discretized time evolution on quantum computers.
Main Methods:
- Uniform matrix product state (MPS) calculations were employed to study nonperturbative errors in analog quantum simulators.
- Quantum circuit model calculations were used to analyze gauge violations on quantum computers with Trotterized time discretization.
Main Results:
- The local pseudogenerator scheme successfully protected lattice gauge theories against nonperturbative errors up to all accessible evolution times in the thermodynamic limit.
- An emergent gauge symmetry was observed in an adjusted gauge theory, extending beyond analytic predictions.
- Gauge violations were effectively suppressed on finite quantum computers, demonstrating the scheme's applicability to Trotterized systems.
Conclusions:
- The local pseudogenerator scheme is a robust and feasible tool for enforcing gauge invariance in quantum simulations.
- The findings support the practical application of this scheme in modern quantum simulators and noisy intermediate-scale quantum devices.
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