Entanglement versus Bell non-locality via solving the fractional Schrödinger equation using the twisting model

A. El Allati, S. Bukbech, K. El Anouz and Z. El Allali

Chaos, Solitons & Fractals, 2024, vol. 179, issue C

Abstract: The memory fractional effects of a one-axis twisting model on the dynamics of two-qubit entanglement and non-locality are discussed. It consists of solving the time-dependent fractional Schrödinger equation by extending any integration into non-integer orders using Riemann–Liouville integration. The obtained results present the possibility of controlling the fractional order of memory, varying the parameters to significantly generate concurrency and Bell’s non-locality. Under the current investigation setup, it is noticeable that the behaviors of the proposed quantifiers are similar to each other, but with a small difference in the amplitude of non-locality with respect to entanglement. Importantly, we show that the most intriguing aspect of this paper is to detect that pair-qubit entanglement and non-locality can be preserved for an indefinite time, which still holds significance in quantum information processing.

Keywords: Fractional Schrödinger equation; Riemann–Liouville integration; Bell non-locality; Concurrence (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:179:y:2024:i:c:s0960077923013486

DOI: 10.1016/j.chaos.2023.114446

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