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Article

Quantum–Classical Optimization for Efficient Genomic Data Transmission

by
Ismael Soto
1,*,
Verónica García
2 and
Pablo Palacios Játiva
3
1
Multidisciplinary Research Center for Telecommunications Technologies (CIMTT), Departamento de Ingeniería Eléctrica, Universidad de Santiago de Chile, Santiago 9170124, Chile
2
Departamento en Ciencia y Tecnología de los Alimentos, Universidad de Santiago de Chile, Santiago 9170022, Chile
3
Escuela de Informática y Telecomunicaciones, Universidad Diego Portales, Santiago 8370190, Chile
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(17), 2792; https://doi.org/10.3390/math13172792 (registering DOI)
Submission received: 26 July 2025 / Revised: 24 August 2025 / Accepted: 28 August 2025 / Published: 30 August 2025

Abstract

This paper presents a hybrid computational architecture for efficient and robust digital transmission inspired by helical genetic structures. The proposed system integrates advanced modulation schemes, such as multi-pulse-position modulation (MPPM), high-order quadrature amplitude modulation (QAM), and chirp spread spectrum (CSS), along with Reed–Solomon error correction and quantum-assisted search, to optimize performance in noisy and non-line-of-sight (NLOS) optical environments, including VLC channels modeled with log-normal fading. Through mathematical modeling and simulation, we demonstrate that the number of helical transmissions required for genome-scale data can be drastically reduced—up to 95% when using parallel strands and high-order modulation. The trade-off between redundancy, spectral efficiency, and error resilience is quantified across several configurations. Furthermore, we compare classical genetic algorithms and Grover’s quantum search algorithm, highlighting the potential of quantum computing in accelerating decision-making and data encoding. These results contribute to the field of operations research and supply chain communication by offering a scalable, energy-efficient framework for data transmission in distributed systems, such as logistics networks, smart sensing platforms, and industrial monitoring systems. The proposed architecture aligns with the goals of advanced computational modeling and optimization in engineering and operations management.
Keywords: Grover’s algorithm; hybrid modulation schemes (MPPM-QAM-CSS); quantum Reed–Solomon codes; synthetic DNA encoding; visible light communication (VLC) Grover’s algorithm; hybrid modulation schemes (MPPM-QAM-CSS); quantum Reed–Solomon codes; synthetic DNA encoding; visible light communication (VLC)

Share and Cite

MDPI and ACS Style

Soto, I.; García, V.; Játiva, P.P. Quantum–Classical Optimization for Efficient Genomic Data Transmission. Mathematics 2025, 13, 2792. https://doi.org/10.3390/math13172792

AMA Style

Soto I, García V, Játiva PP. Quantum–Classical Optimization for Efficient Genomic Data Transmission. Mathematics. 2025; 13(17):2792. https://doi.org/10.3390/math13172792

Chicago/Turabian Style

Soto, Ismael, Verónica García, and Pablo Palacios Játiva. 2025. "Quantum–Classical Optimization for Efficient Genomic Data Transmission" Mathematics 13, no. 17: 2792. https://doi.org/10.3390/math13172792

APA Style

Soto, I., García, V., & Játiva, P. P. (2025). Quantum–Classical Optimization for Efficient Genomic Data Transmission. Mathematics, 13(17), 2792. https://doi.org/10.3390/math13172792

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