Implementing the Toffoli logic gate using soliton-soliton interactions and solitons scattering by potential wells

D. Saleh; S. M. Al-Marzoug; H. Bahlouli; U. Al Khawaja

doi:10.1016/j.physleta.2026.131571

Implementing the Toffoli logic gate using soliton-soliton interactions and solitons scattering by potential wells

D. Saleh
, S. M. Al-Marzoug
, H. Bahlouli
, U. Al Khawaja^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

We propose two implementations of the Toffoli quantum Logic gate based on solitons scattering off potential wells. The gate architecture comprises a signal soliton, an auxiliary soliton, a control soliton, and two pairs of Pöschl-Teller potentials. The gate is shown to function within a finite velocity window of the signal soliton. The performance of the gate is shown to be robust against variations in key system parameters.

Original language	English
Article number	131571
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	583
DOIs	https://doi.org/10.1016/j.physleta.2026.131571
State	Published - 5 Jul 2026

Bibliographical note

Publisher Copyright:
© 2026 Elsevier B.V.

Keywords

Logic gates
Nonlinear Schrödinger equation
Solitons

ASJC Scopus subject areas

General Physics and Astronomy

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10.1016/j.physleta.2026.131571

Cite this

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abstract = "We propose two implementations of the Toffoli quantum Logic gate based on solitons scattering off potential wells. The gate architecture comprises a signal soliton, an auxiliary soliton, a control soliton, and two pairs of P{\"o}schl-Teller potentials. The gate is shown to function within a finite velocity window of the signal soliton. The performance of the gate is shown to be robust against variations in key system parameters.",

keywords = "Logic gates, Nonlinear Schr{\"o}dinger equation, Solitons",

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doi = "10.1016/j.physleta.2026.131571",

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AU - Saleh, D.

AU - Al-Marzoug, S. M.

AU - Bahlouli, H.

AU - Al Khawaja, U.

PY - 2026/7/5

Y1 - 2026/7/5

N2 - We propose two implementations of the Toffoli quantum Logic gate based on solitons scattering off potential wells. The gate architecture comprises a signal soliton, an auxiliary soliton, a control soliton, and two pairs of Pöschl-Teller potentials. The gate is shown to function within a finite velocity window of the signal soliton. The performance of the gate is shown to be robust against variations in key system parameters.

AB - We propose two implementations of the Toffoli quantum Logic gate based on solitons scattering off potential wells. The gate architecture comprises a signal soliton, an auxiliary soliton, a control soliton, and two pairs of Pöschl-Teller potentials. The gate is shown to function within a finite velocity window of the signal soliton. The performance of the gate is shown to be robust against variations in key system parameters.

KW - Logic gates

KW - Nonlinear Schrödinger equation

KW - Solitons

UR - https://www.scopus.com/pages/publications/105034166896

U2 - 10.1016/j.physleta.2026.131571

DO - 10.1016/j.physleta.2026.131571

M3 - Article

AN - SCOPUS:105034166896

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VL - 583

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

M1 - 131571

ER -

Implementing the Toffoli logic gate using soliton-soliton interactions and solitons scattering by potential wells

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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