TY - JOUR

T1 - Realization of the Hadamard gate based on superposition of the composite solitons

AU - Uthayakumar, T.

AU - Al Khawaja, U.

N1 - Funding Information:
The authors acknowledge the support of UAE University through Grants No. UAEU-UPAR(1)-2019 and No. UAEU-UPAR(11)-2019 .
Publisher Copyright:
© 2022 Elsevier B.V.

PY - 2022/11/15

Y1 - 2022/11/15

N2 - In this article, we propose the implementation of quantum Hadamard gate through the superposition of composite solitons. Single qubit of the quantum state is defined by the components of the composite soliton which are the exact solution of the Manakov system. Through a rotation operation with an appropriate rotation angle, the Hadamard operation is realized on the single qubit, leading to the superposition state in which the measurement probability of individual qubits is half. Subsequently, repeating the similar Hadamard operation on the superposition state leads to the restoration of the original states of the qubit, as expected. Additionally, the measure of quantum fidelity of the qubit is expressed through the density operator matrix using Uhlmann-Jozsa fidelity. The versatility in the application of composite solitons to accomplish the quantum Hadamard operation through diverse physical systems is also demonstrated through suitable examples.

AB - In this article, we propose the implementation of quantum Hadamard gate through the superposition of composite solitons. Single qubit of the quantum state is defined by the components of the composite soliton which are the exact solution of the Manakov system. Through a rotation operation with an appropriate rotation angle, the Hadamard operation is realized on the single qubit, leading to the superposition state in which the measurement probability of individual qubits is half. Subsequently, repeating the similar Hadamard operation on the superposition state leads to the restoration of the original states of the qubit, as expected. Additionally, the measure of quantum fidelity of the qubit is expressed through the density operator matrix using Uhlmann-Jozsa fidelity. The versatility in the application of composite solitons to accomplish the quantum Hadamard operation through diverse physical systems is also demonstrated through suitable examples.

KW - Composite solitons

KW - Hadamard gate

KW - NLSE

KW - Quantum computing

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U2 - 10.1016/j.physleta.2022.128451

DO - 10.1016/j.physleta.2022.128451

M3 - Article

AN - SCOPUS:85139283078

SN - 0375-9601

VL - 452

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

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

M1 - 128451

ER -