DNA sequencing allows for the determination of the genetic code of an organism, and therefore is an indispensable tool that has applications in Medicine, Life Sciences, Evolutionary Biology, Food Sciences and Technology, and Agriculture. 

In this paper, we present several novel methods of performing classical-to-quantum data encoding inspired by various mathematical fields, and we demonstrate these ideas within Bioinformatics. In particular, we introduce algorithms that draw inspiration from diverse fields such as Electrical and Electronic Engineering, Information Theory, Differential Geometry, and Neural Network architectures. We provide a complete overview of the existing data encoding schemes and show how to use them in Genomics. 

The algorithms provided utilise lossless compression, wavelet-based encoding, and information entropy. Moreover, we propose a contemporary method for testing encoded DNA sequences using Quantum Boltzmann Machines. To evaluate the effectiveness of our algorithms, we discuss a potential dataset that serves as a sandbox environment for testing against real-world scenarios. Our research contributes to developing classical-to-quantum data encoding methods in the science of Bioinformatics by introducing innovative algorithms that utilise diverse fields and advanced techniques. Our findings offer insights into the potential of Quantum Computing in Bioinformatics and have implications to drive future research in this area.

Nouhaila Innan: Nouhaila is a Ph.D. student in Quantum Machine Learning at Hassan II University of

Casablanca in Morocco. Her current research focuses on applying Machine Learning techniques to Quantum Computing. Along with her academic work, she is involved in mentoring in the fields of Quantum Computing and Robotics.

Muhammad Al-Zafar Khan: Muhammad Al-Zafar Khan completed his BSc. majoring in Pure and Applied Mathematic, and minor in Chemical Engineering, BSc. Hons. cum laude, MSc. cum laude specializing in

higher-dimensional gravitation theories, and Ph.D. in Mathematical and Theoretical Physics working on continuous group symmetries, conservation laws, and soliton waves arising in Quantum Mechanics and Quantum Field Theory, from the University of KwaZulu-Natal in his hometown of Durban, South Africa.

Classical-to-Quantum Sequence Encoding in Genomics