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Convergence Guarantees for Discrete Mode Approximations to Non-Markovian Quantum Baths
Rahul Trivedi1, Daniel Malz1, J Ignacio Cirac1
1Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Straße 1, 85748 Garching, Germany and Munich Center for Quantum Science and Technology (MCQST), Schellingstraße 4, D-80799 Munich, Germany.
Physical Review Letters
|January 14, 2022
Summary
This study provides rigorous convergence guarantees for approximating non-Markovian open quantum systems using discrete bosonic modes. The approximation error decreases polynomially with the number of modes, enhancing quantum algorithms.
Area of Science:
- Quantum Physics
- Computational Physics
Background:
- Non-Markovian effects are crucial for open quantum systems in diverse fields like solid-state physics and quantum optics.
- Approximating these environments with discrete bosonic modes is common but lacks rigorous convergence guarantees.
Purpose of the Study:
- To establish rigorous convergence guarantees for approximating non-Markovian open quantum system dynamics.
- To analyze the approximation error associated with using discrete bosonic modes.
Main Methods:
- Investigating system-environment interactions under physically motivated assumptions.
- Analyzing the finite-time dynamics of non-Markovian open quantum systems.
Main Results:
- Demonstrated guaranteed convergence to the true dynamics with a sufficient number of bosonic modes.
- Showed that the approximation error typically decreases polynomially with the number of modes.
Conclusions:
- Provides a rigorous foundation for approximating non-Markovian open quantum systems.
- Validates and enhances classical and quantum algorithms for simulating these systems.
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