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Engineering Classical Capacity of Generalized Pauli Channels with Admissible Memory Kernels
Katarzyna Siudzińska1, Arpan Das1, Anindita Bera1
1Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Toruń, ul. Grudziądzka 5, 87-100 Toruń, Poland.
Entropy (Basel, Switzerland)
|November 27, 2021
Summary
Engineering non-local noise effects in generalized Pauli channels can enhance classical capacity beyond purely Markovian evolution. This study analyzes memory kernel master equations for qubit and qutrit systems.
Area of Science:
- Quantum information theory
- Quantum channel analysis
- Non-Markovian dynamics
Background:
- Generalized Pauli channels are crucial for quantum information processing.
- Understanding the impact of noise on quantum channel capacity is essential.
- Memory kernel master equations describe non-Markovian quantum evolution.
Purpose of the Study:
- To analyze the classical capacity of generalized Pauli channels.
- To investigate the role of non-local noise effects in enhancing channel capacity.
- To compare capacity under non-local noise versus purely Markovian evolution.
Main Methods:
- Analysis of generalized Pauli channels using memory kernel master equations.
- Engineering kernel parameters to introduce non-local noise effects.
- Calculating and comparing classical capacities for different noise models.
Main Results:
- Non-local noise effects, engineered via kernel parameters, can yield higher classical capacity than Markovian evolution.
- Demonstrated enhanced capacity for qubit and qutrit systems.
- Time-local master equations did not exhibit similar capacity enhancements.
Conclusions:
- Generalized Pauli channels with engineered non-local noise can surpass the capacity of Markovian channels.
- Memory kernel master equations provide a framework for achieving enhanced quantum channel capacity.
- The distinction between time-local and non-local master equations is critical for capacity optimization.
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