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Updated: Jan 10, 2026
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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
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Lindbladian Decoherence in Quantum Universal Gates: An Insight Analysis for Digital Noise and Thermalisation
José Carlos Rebón1, Francisco Delgado1
1Tecnologico de Monterrey, School of Engineering and Science, Atizapán 52926, Mexico.
Entropy (Basel, Switzerland)
|November 26, 2025
Summary
Quantum computing harnesses quantum phenomena for faster computation. This study models decoherence in quantum gates using the Lindblad master equation, crucial for error correction and understanding information loss in quantum systems.
Area of Science:
- Quantum Information Science
- Computational Physics
Background:
- Gate-based quantum computing offers computational speedups but suffers from noise and decoherence.
- Quantum gates, essential for computation, deviate from ideal behavior due to environmental interactions.
- Quantifying these deviations is vital for developing quantum error correction and mitigation strategies.
Purpose of the Study:
- To present a novel approach for modeling decoherence in quantum circuits.
- To quantify the impact of noise and thermalization on quantum gate operations.
- To establish a unified framework for characterizing probability transport in quantum gates.
Main Methods:
- Utilized the Lindblad master equation to model noise and thermalization effects on quantum gates.
- Simulated the deviation of noisy quantum states from ideal unitary evolution.
- Investigated thermalization by modeling gates immersed in a radiation bath.
- Performed numerical simulations to track information loss as a function of decay rate.
Main Results:
- The Lindblad approach provides a comprehensive tool to model gate and environmental interactions.
- Analyzed the deviation of noisy states from ideal gate evolution, identifying operating regimes.
- Demonstrated that decoherence impact is minimal for specific quantum states but significant with more qubits.
- Information loss was tracked numerically against varying decay rates.
Conclusions:
- The proposed methodology offers a unified framework for characterizing quantum gate operations under decoherence.
- Understanding and quantifying decoherence is essential for advancing quantum error correction and mitigation.
- The study highlights the trade-offs between gate fidelity, environmental coupling, and computational scale.
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