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Collision Models Can Efficiently Simulate Any Multipartite Markovian Quantum Dynamics
Marco Cattaneo1,2,3, Gabriele De Chiara4, Sabrina Maniscalco2,3,5
1Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC, UIB-CSIC), Campus Universitat de les Illes Balears, E-07122 Palma de Mallorca, Spain.
We present a new multipartite collision model that simulates Markovian dynamics in open quantum systems. This model offers optimal error scaling and is efficiently simulable on quantum computers.
Area of Science:
- Quantum Physics
- Quantum Information Science
Background:
- Multipartite open quantum systems are crucial for understanding complex quantum phenomena.
- Simulating their dynamics accurately is computationally challenging.
Purpose of the Study:
- To introduce a novel multipartite collision model for simulating Markovian dynamics of open quantum systems.
- To analyze the model's efficiency and error bounds for quantum computation.
Main Methods:
- The multipartite collision model is defined via elementary interactions between subsystems and ancillas.
- An analytical error bound estimation method for repeated interactions models was developed.
- The model was decomposed into elementary quantum gates for quantum computer simulation.
Main Results:
- The proposed model can simulate the Markovian dynamics of any multipartite open quantum system.
- The scheme's error displays optimal scaling, validated by the developed analytical error bound.
- The model is efficiently simulable on a quantum computer, requiring polynomial resources.
Conclusions:
- The multipartite collision model provides an efficient and accurate method for simulating open quantum systems.
- This work contributes to the advancement of quantum computation and simulation techniques.
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