Quantum–Classical Optimization for Efficient Genomic Data Transmission

Ismael Soto (), Verónica García and Pablo Palacios Játiva
Additional contact information
Ismael Soto: Multidisciplinary Research Center for Telecommunications Technologies (CIMTT), Departamento de Ingeniería Eléctrica, Universidad de Santiago de Chile, Santiago 9170124, Chile
Verónica García: Departamento en Ciencia y Tecnología de los Alimentos, Universidad de Santiago de Chile, Santiago 9170022, Chile
Pablo Palacios Játiva: Escuela de Informática y Telecomunicaciones, Universidad Diego Portales, Santiago 8370190, Chile

Mathematics, 2025, vol. 13, issue 17, 1-37

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) (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/17/2792/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/17/2792/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:17:p:2792-:d:1738167

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().