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Quantum Error Mitigation in Optimized Circuits for Particle-Density Correlations in Real-Time Dynamics of the
Domenico Pomarico1,2, Mahul Pandey3, Riccardo Cioli3,4
1Dipartimento di Fisica, Università di Bari, I-70126 Bari, Italy.
Entropy (Basel, Switzerland)
|April 26, 2025
Summary
Quantum computing enables real-time study of many-body systems. Error mitigation techniques improve noisy quantum simulations of the Zn Schwinger model, enhancing particle-density correlation accuracy.
Area of Science:
- Quantum Many-Body Physics
- Quantum Information Science
- Computational Physics
Background:
- Quantum computing offers direct access to real-time dynamics of quantum many-body systems.
- Calculating non-equal-time correlation functions can reveal phenomena like quantum scars and dynamical quantum phase transitions.
- Quantum circuit complexity introduces noise, challenging practical real-time dynamics calculations.
Purpose of the Study:
- To evaluate real-time evolution of observables and correlations using the Zn Schwinger model as a testbed.
- To investigate the impact of noise on quantum simulations and the effectiveness of error mitigation.
- To assess the performance of post-processing error mitigation for particle-density correlations in specific coupling regimes.
Main Methods:
- Utilized a quantum-classical strategy to reduce system dimensionality by restricting dynamics to the Dirac vacuum sector.
- Optimized qubit model embedding by minimizing the number of three-qubit gates to control computational cost.
- Simulated and implemented time evolution of particle-density operators under a non-equilibrium quench protocol on a physical IBM quantum device.
- Applied various error mitigation techniques to target convergence towards a maximally mixed state in noisy simulations.
Main Results:
- Demonstrated the feasibility of simulating real-time dynamics of the Zn Schwinger model on noisy quantum hardware.
- Showcased the effectiveness of error mitigation techniques in improving the accuracy of quantum simulations.
- Identified that post-processing error mitigation performs well for particle-density correlations in specific coupling regimes.
Conclusions:
- Quantum computing is a powerful tool for studying quantum many-body dynamics, despite current noise limitations.
- Error mitigation is crucial for obtaining reliable results from noisy quantum simulations.
- The Zn Schwinger model serves as a valuable platform for developing and testing quantum simulation and error correction strategies.
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