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Quantum-Inspired DNA Computing: A Four-Dimensional Nucleotide State Space Framework with Superposition, Entanglement, and Error Correction

Jose Daniel Llopis

Published May 12, 2026• 0 citations
Publisher

Abstract

We present a comprehensive quantum-inspired DNA computing framework implemented in IcsDNA using the InChroSil Virtual Machine [11], a production-ready DNA computing platform. Our approach extends the classical four-letter nucleotide alphabet {A, G, C, T} into a four-dimensional complex Hilbert space ℋ! , enabling superposition states, entanglement between nucleotide pairs, and quantum gate operations adapted to the biological domain. The framework introduces novel adaptations of fundamental quantum computing primitives, including Pauli gates, Hadamard transforms, rotation operators, and Bell-state generation, to a quaternary (base-4) nucleotide encoding. We further implement quantum-inspired algorithms for DNA sequence alignment, pattern matching via Grover-like amplitude amplification, Fourier analysis of genomic sequences, and quantum error correction for DNA storage integrity. The system provides both a high-level C++ object-oriented stack and a C API for integration into bioinformatics pipelines. Experimental evaluation demonstrates the applicability of quantum-inspired techniques to probabilistic genomic analysis, DNA-based cryptographic key generation, and fault-tolerant DNA data storage with decoherence simulation.

DOI
10.5281/zenodo.20135625

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We present a comprehensive quantum-inspired DNA computing framework implemented in IcsDNA using the InChroSil Virtual Machine [11], a production-ready DNA computing platform. Our approach extends the classical four-letter nucleotide alphabet {A, G, C, T} into a four-dimensional complex Hilbert space ℋ! , enabling superposition states, entanglement between nucleotide pairs, and quantum gate operations adapted to the biological domain. The framework introduces novel adaptations of fundamental quantum computing primitives, including Pauli gates, Hadamard transforms, rotation operators, and Bell-state generation, to a quaternary (base-4) nucleotide encoding. We further implement quantum-inspired algorithms for DNA sequence alignment, pattern matching via Grover-like amplitude amplification, Fourier analysis of genomic sequences, and quantum error correction for DNA storage integrity. The system provides both a high-level C++ object-oriented stack and a C API for integration into bioinformatics pipelines. Experimental evaluation demonstrates the applicability of quantum-inspired techniques to probabilistic genomic analysis, DNA-based cryptographic key generation, and fault-tolerant DNA data storage with decoherence simulation.
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The exponential growth of genomic data presents significant computational challenges in the field of bioinformatics, particularly in genome sequencing. Traditional methods struggle to meet the increasing demand for speed, accuracy, and efficiency. This paper introduces a novel framework that leverages quantum computing to accelerate genome sequencing processes. The proposed framework integrates quantum algorithms, such as Grover's search and quantum Fourier transform, with classical bioinformatics techniques to optimize key tasks, including sequence alignment, variant detection, and large-scale data analysis. By exploiting the inherent parallelism and computational power of quantum systems, the framework achieves substantial reductions in processing time while maintaining high accuracy. A case study on large-scale genomic datasets demonstrates the framework's ability to outperform state-of-the-art classical approaches, particularly in handling complex and large-scale sequencing tasks. Furthermore, this research highlights the potential of quantum computing in advancing bioinformatics, paving the way for more efficient and scalable solutions to address the computational bottlenecks of modern genomics. The implications of this interdisciplinary approach extend beyond genomics, offering transformative possibilities in data-driven life sciences.
• Development of the quantum algorithm 'QuBio.py' for searching and analyzing genetic information. • Successful detection of a 50-nucleotide target sequence within a 3,022-nucleotide database using a 127-qubit simulator on the IBM quantum platform. • Securing flexibility that allows up to a 30% mismatch rate... Heralding a new horizon for synthetic biology and new drug development. [Quantum Biology Society] A "quantum computing"-based gene search algorithm has emerged, capable of analyzing exponentially increasing biological data at ultra-high speeds, surpassing the limitations of conventional computers. A study titled "GENETIC ENGINEERING THROUGH QUANTUM CIRCUITS: CONSTRUCTION OF CODES AND ANALYSIS OF GENETIC ELEMENTS BIOBLOQU" was recently published on bioRxiv, a preprint repository for biological sciences. The research team, including Patrícia Verdugo Pascoal, presented an innovative model that explores and manipulates genetic information utilizing quantum mechanics. ■ Translating the Four DNA Bases into Quantum Language... The Evolution of 'Grover's Algorithm' Modern biology generates approximately 1 Gb of sequencing data per hour, but analyzing this data using classical computing methods faces significant limitations. Existing database search methods require computation time proportional to the data size (O(N)), but the quantum-based 'Grover's algorithm' applied by the researchers can significantly reduce this to the O(√N}) level. In particular, a key feature of this study is that it adapted the algorithm to process the four nucleotides (A, T, G, C) that make up DNA, rather than simple binary symbols, thereby enabling it to operate efficiently on more complex datasets. ■ Detecting the Cas9 Target Sequence with 127 Qubits... Creation of Synthetic Genome (BioBloQu) Based on the 127-qubit simulator of the IBM cloud platform, the research team developed its own quantum algorithm code named 'QuBio.py'. Through this algorithm, they succeeded in finding a specific 50-nucleotide target DNA sequence within a genetic database consisting of up to 3,022 nucleotides. A conserved functional domain of the Cas9-like nucleotide sequence found in Brazilian biomes was used as the target sequence. Notably, this quantum algorithm permits a mismatch rate of up to 30% during the sequence comparison process. This enables flexible and rapid analysis in situations where sequence variations are expected, such as homologous gene analysis or evolutionary studies. Furthermore, based on these search results, the team succeeded in constructing a synthetic structure called a 'Quantum Biological Block (BioBloQu)' inside minimal cells (JCVI-syn3.0). The researchers stated that this algorithm "constitutes a unique starting point for developing a more sophisticated model for the manipulation of data". They also predicted that "the integration of quantum computing with artificial intelligence represents an attractive avenue... By optimizing genetic algorithms and facilitating real-time data analyses, quantum computing can revolutionize trait discovery processes in agriculture and biotechnology". This achievement is evaluated as an important example demonstrating how quantum computing can contribute to next-generation synthetic biology technologies that analyze large-scale genetic big data and design genomes from the bottom up.
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 for future research in this area.
With small-scale quantum processors transitioning from experimental physics labs to industrial products, these processors allow us to efficiently compute important algorithms in various fields. In this paper, we propose a quantum algorithm to address the challenging field of big data processing for genome sequence reconstruction. This research describes an architecture-aware implementation of a quantum algorithm for sub-sequence alignment. A new algorithm named QiBAM (quantum indexed bidirectional associative memory) is proposed, that uses approximate pattern-matching based on Hamming distances. QiBAM extends the Grover's search algorithm in two ways to allow for: (1) approximate matches needed for read errors in genomics, and (2) a distributed search for multiple solutions over the quantum encoding of DNA sequences. This approach gives a quadratic speedup over the classical algorithm. A full implementation of the algorithm is provided and verified using the OpenQL compiler and QX simulator framework. This represents a first exploration towards a full-stack quantum accelerated genome sequencing pipeline design. The open-source implementation can be found on https://github.com/prince-ph0en1x/QAGS.
Fast sequencing and analysis of (microorganism, plant or human) genomes will open up new vistas in fields like personalised medication, food yield and epigenetic research. Current state-of-the-art DNA pattern matching techniques use heuristic algorithms on computing clusters of CPUs, GPUs and FPGAs. With genomic data set to eclipse social and astronomical big data streams within a decade, the alternate computing paradigm of quantum computation is explored to accelerate genome-sequence reconstruction. The inherent parallelism of quantum superposition of states is harnessed to design a quantum kernel for accelerating the search process. The project explores the merger of these two domains and identifies ways to fit these together to design a genome-sequence analysis pipeline with quantum algorithmic speedup. The design of a genome-sequence analysis pipeline with a quantum kernel is tested with a proof-of-concept demonstration using a quantum simulator.