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Journals / Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering / 2023 / Cilt: 65 Sayı: 2

On the geometric phases in entangled states

Melik Emirhan TUNALIOĞLU
Hasan Özgür ÇILDIROĞLU
Ali Ulvi YILMAZER
Pages
142–151
Publication Date
2023-12-29
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We shown that in some cases the geometric phase information is carried over to the final bipartite entangled state.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Correlation relations for the spin measurements on a pair of entangled particles scattered by the two separate arms of interferometers in hybrid setups of different types are investigated.
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Key Findings & Data:Concurrence, entanglement of formation, quantum fidelity, Bures distance are used to clarify how the geometric phase affects the initial bipartite state.
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Conclusion & Impact:We shown that in some cases the geometric phase information is carried over to the final bipartite entangled state.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Geometric phase · CHSH inequality · concurrence

Abstract

Correlation relations for the spin measurements on a pair of entangled particles scattered by the two separate arms of interferometers in hybrid setups of different types are investigated. Concurrence, entanglement of formation, quantum fidelity, Bures distance are used to clarify how the geometric phase affects the initial bipartite state. This affect causes a quantum interference due to the movement of charged particles in regions where electromagnetic fields are not present. We shown that in some cases the geometric phase information is carried over to the final bipartite entangled state.

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Cite This Article

TUNALIOĞLU, M. E., ÇILDIROĞLU, H. Ö., YILMAZER, A. U. (2023). On the geometric phases in entangled states. Communications Faculty of Sciences University of Ankara Series A2-A3 Physical Sciences and Engineering, Cilt: 65 Sayı: 2, 142–151. https://ajindex.com/articles/971359

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