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Published on: May 30, 2014
Optimizing Performance of Quantum Operations with Non-Markovian Decoherence: The Tortoise or the Hare?
Eoin P Butler1,2, Gerald E Fux3,4, Carlos Ortega-Taberner1,2
1School of Physics, Trinity College Dublin, College Green, Dublin 2, Ireland.
We developed an efficient method to optimize quantum controls in non-Markovian environments. Slower quantum processes can achieve higher fidelity by leveraging environmental interactions.
Area of Science:
- Quantum physics
- Quantum control theory
Background:
- Quantum system control is limited by environmental interactions.
- Non-Markovian environments pose unique challenges for quantum control.
Purpose of the Study:
- To present an efficient method for finding optimal controls for quantum systems coupled to non-Markovian environments.
- To analyze the trade-off between speed and fidelity in quantum state transfer.
Main Methods:
- Utilizing the process tensor to compute the gradient of an objective function.
- Applying the method to a driven two-level system coupled to a bosonic environment.
- Characterizing performance based on speed and fidelity.
Main Results:
- Determined the optimal achievable fidelity as a function of process duration.
- Demonstrated a trade-off between speed and fidelity.
- Showcased that slower processes can achieve higher fidelity by exploiting non-Markovian effects.
Conclusions:
- The developed method provides efficient optimal control for quantum systems in non-Markovian environments.
- Exploiting non-Markovian dynamics can enhance quantum state transfer fidelity, albeit potentially at the cost of speed.
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