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Universal Fidelity Reduction of Quantum Operations from Weak Dissipation
Tahereh Abad1, Jorge Fernández-Pendás1, Anton Frisk Kockum1
1Department of Microtechnology and Nanoscience, Chalmers University of Technology, 412 96 Gothenburg, Sweden.
Physical Review Letters
|October 21, 2022
Summary
Weak dissipation in quantum computing operations causes fidelity reduction, surprisingly independent of the specific operation. This finding holds even for correlated dissipation, offering insights for quantum error correction strategies.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Quantum Error Correction
Background:
- Quantum information processing is frequently hindered by dissipation, arising from uncontrolled interactions with microscopic environments.
- Recent experimental advancements allow for the study of weak dissipation, characterized by low error probabilities per operation.
Purpose of the Study:
- To derive a general formula for fidelity reduction in quantum operations under weak dissipation.
- To analyze the impact of correlated dissipation on quantum operations and compare it to uncorrelated scenarios.
Main Methods:
- Derivation of a simple formula quantifying fidelity reduction for quantum operations within the computational subspace.
- Investigation of correlated dissipation effects using the derived formula.
Main Results:
- The fidelity reduction is independent of the specific quantum operation, depending solely on operation time and dissipation strength.
- A significant class of correlated dissipation scenarios yields the same fidelity reduction as uncorrelated dissipation of comparable strength.
Conclusions:
- The derived formula provides a universal measure of fidelity reduction due to weak dissipation.
- Correlated dissipation does not necessarily exacerbate fidelity loss compared to uncorrelated dissipation, simplifying considerations for quantum error correction design.
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