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Switching and Swapping of Quantum Information: Entropy and Entanglement Level
Marek Sawerwain1, Joanna Wiśniewska2, Roman Gielerak1
1Institute of Control & Computation Engineering, University of Zielona Góra, Licealna 9, 65-417 Zielona Góra, Poland.
Entropy (Basel, Switzerland)
|July 2, 2021
Summary
This study defines local quantum information swapping and proves its existence, demonstrating a quantum switch. Entanglement is quantified using Negativity and entropy-based criteria, even with noise from Dzyaloshinskii-Moriya interaction and Milburn equation.
Area of Science:
- Quantum Information Science
- Quantum Communication
- Quantum Entanglement
Background:
- Quantum information swapping and entanglement are crucial for quantum communication protocols.
- Quantifying entanglement levels in quantum systems is essential.
Purpose of the Study:
- To formally define and prove the existence of local quantum information swapping.
- To analyze the properties of quantum information swapping using entropy.
- To demonstrate a quantum switch utilizing local information swapping and quantify its entanglement levels.
Main Methods:
- Formal definition and existence proof of local quantum information swapping.
- Analysis using entropy, Negativity measure, and separability criteria (von Neumann entropy, spectral decomposition, Schmidt decomposition).
- Numerical experiments simulating noise from Dzyaloshinskii-Moriya interaction and Milburn equation.
Main Results:
- A formal definition and existence proof for local quantum information swapping are presented.
- A quantum switch is realized, and its entanglement levels are calculated using Negativity and entropy-based criteria.
- Entanglement levels were estimated for systems with and without noise, including Dzyaloshinskii-Moriya interaction and Milburn equation.
Conclusions:
- Local quantum information swapping is a fundamental operation with demonstrated applications in quantum switches.
- Entanglement quantification methods are effective even in the presence of noise.
- The study provides a circuit realization and a scheme for estimating entanglement levels in quantum switches.
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