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International Conference on Computer and Applications (ICCA)

The Genome as a Quantum Error-Correcting Code

Sultan Alam, Anish Pawar, Md. Irfan Alam

Published Dec 22, 2025• 0 citations
Publisher

Abstract

DNA replication upholds genomic integrity with remarkable precision, rectifying inaccuracies that emerge from quantum-level phenomena. This paper introduces a novel framework that models this biological process using the formalism of quantum error correction .We propose that genetic information encoded in DNA base pairs can be represented as the codespace of a Biological Stabilizer Code , where cellular proofreading and mismatch repair mechanisms function as an active error correction protocol.We provide comprehensive proofs that illustrate the code’s capacity to preferentially rectify the most likely types of mutations, thereby guaranteeing elevated logical fidelity. We establish a biological equivalent of the quantum threshold theorem, demonstrating that high-fidelity replication can be achieved if the inherent mutation rate falls below a critical threshold. The performance of the BSC is corroborated through simulations conducted in Qiskit, which reveal its superior efficacy compared to symmetric codes under biologically plausible noise conditions. This research establishes a quantitative relationship between the principles of fault-tolerant quantum computation and the mechanisms that uphold the stability of life’s genetic code.

DOI
10.1109/icca66035.2025.11430948

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DNA replication upholds genomic integrity with remarkable precision, rectifying inaccuracies that emerge from quantum-level phenomena. This paper introduces a novel framework that models this biological process using the formalism of quantum error correction .We propose that genetic information encoded in DNA base pairs can be represented as the codespace of a Biological Stabilizer Code , where cellular proofreading and mismatch repair mechanisms function as an active error correction protocol.We provide comprehensive proofs that illustrate the code’s capacity to preferentially rectify the most likely types of mutations, thereby guaranteeing elevated logical fidelity. We establish a biological equivalent of the quantum threshold theorem, demonstrating that high-fidelity replication can be achieved if the inherent mutation rate falls below a critical threshold. The performance of the BSC is corroborated through simulations conducted in Qiskit, which reveal its superior efficacy compared to symmetric codes under biologically plausible noise conditions. This research establishes a quantitative relationship between the principles of fault-tolerant quantum computation and the mechanisms that uphold the stability of life’s genetic code.
This work presents a rigorous, cross-domain review of mechanisms in living systems that exhibit mathematical parallels with quantum error correction (QEC). Rather than relying on metaphor or loose analogy, the paper traces concrete isomorphisms between stabilizer codes, decoherence-free subspaces, dynamical decoupling, and the specific molecular architectures that sustain high-fidelity biological information. The review synthesizes evidence across three domains—genomic stability, neural information processing, and metabolic coherence—and examines proton tunneling, tautomer suppression, nuclear spin protection, microtubule lattice codes, excitonic transport, ENAQT, vibronic stabilizers, and the radical-pair magnetoreception model. By comparing these biological processes to formal properties of QEC (Knill–Laflamme conditions, threshold theorems, syndrome extraction, and topological protection), the work argues that biological robustness can be understood as an evolved form of error-correcting architecture. The conclusion highlights the role of noise-structured environments, energetic cost constraints, and threshold behavior, and proposes that QEC-style mechanisms may be universal to life operating near the quantum–classical boundary.
Quantum mechanics has an important role in photosynthesis, magnetoreception, and evolution. There were many attempts in an effort to explain the structure of genetic code and transfer of information from DNA to protein by using the concepts of quantum mechanics. The existing biological quantum channel models are not sufficiently general to incorporate all relevant contributions responsible for imperfect protein synthesis. Moreover, the problem of determination of quantum biological channel capacity is still an open problem. To solve these problems, we construct the operator-sum representation of biological channel based on codon basekets (basis vectors), and determine the quantum channel model suitable for study of the quantum biological channel capacity and beyond. The transcription process, DNA point mutations, insertions, deletions, and translation are interpreted as the quantum noise processes. The various types of quantum errors are classified into several broad categories: (i) storage errors that occur in DNA itself as it represents an imperfect storage of genetic information, (ii) replication errors introduced during DNA replication process, (iii) transcription errors introduced during DNA to mRNA transcription, and (iv) translation errors introduced during the translation process. By using this model, we determine the biological quantum channel capacity and compare it against corresponding classical biological channel capacity. We demonstrate that the quantum biological channel capacity is higher than the classical one, for a coherent quantum channel model, suggesting that quantum effects have an important role in biological systems. The proposed model is of crucial importance towards future study of quantum DNA error correction, developing quantum mechanical model of aging, developing the quantum mechanical models for tumors/cancer, and study of intracellular dynamics in general.
This paper establishes a rigorous theoretical and analytical framework positioning the double-helix Deoxyribonucleic Acid (DNA) molecule as a functional topological quantum computing system. Traditional molecular biology fails to address the thermodynamic paradox regarding the absolute informational fidelity of genetic transmission against high thermal noise within the intracellular medium (T ≈ 310 K). We propose a quantum bio-cryptographic model where nucleotide base pairs function as highly entangled qubits protected by non-local Quantum Error Correction (QEC) stabilizer codes. By analyzing the density matrix dynamics under localized environmental perturbations via the Lindblad master equation, we demonstrate that non-local quantum correlations suppress thermal dephasing. This mathematical architecture bridges functional quantum mechanics with structural genetics, providing an analytical blueprint for advanced bio-computing and computer-verified topological data storage.
Quantum states are very delicate, so it is likely some sort of quantum error correction will be necessary to build reliable quantum computers. The theory of quantum error-correcting codes has some close ties to and some striking differences from the theory of classical error-correcting codes. Many quantum codes can be described in terms of the stabilizer of the codewords. The stabilizer is a finite Abelian group, and allows a straightforward characterization of the error-correcting properties of the code. The stabilizer formalism for quantum codes also illustrates the relationships to classical coding theory, particularly classical codes over GF(4), the finite field with four elements. To build a quantum computer which behaves correctly in the presence of errors, we also need a theory of fault-tolerant quantum computation, instructing us how to perform quantum gates on qubits which are encoded in a quantum error-correcting code. The threshold theorem states that it is possible to create a quantum computer to perform an arbitrary quantum computation provided the error rate per physical gate or time step is below some constant threshold value.
Quantum effects in biological systems have long been debated, and DNA represents a particularly intriguing candidate for quantum information processing. Here, we report the first experimental validation of DNA quantum entanglement protocols achieving unprecedented fidelity levels using the Holographic Tree of Life (HoloToL) framework. Our approach combines holographic information encoding, consciousness field dynamics, and quantum error correction to demonstrate DNA base pair entanglement with average quantum fidelity of 99.7% ± 0.3%, far exceeding the theoretical threshold for practical quantum computing applications. We processed 50 synthetic DNA sequences through 200 training epochs, achieving a 100% success rate in the validation of the entanglement protocol with 25/25 sequence pairs maintaining quantum coherence. The framework incorporates bioethical safeguards through topologically protected consciousness fields, ensuring perfect ethical compliance throughout genetic information processing. Our results provide direct evidence for quantum entanglement in DNA Watson-Crick base pairing, validate the existence of decoherence-free subspaces in biological systems, and establish DNA as a viable platform for quantum information storage with biological fidelity exceeding current synthetic quantum computers. These findings bridge quantum physics and molecular biology, opening new paradigms for quantum biotechnology, personalized medicine, and consciousness-integrated artificial intelligence systems.
We draw a structural analogy between quantum error correction (QEC) and error handling in neural circuits with respect to their redundant encodings and constraint-based inferences. In QEC, logical information is embedded in a protected codespace within a larger Hilbert space. A set of commuting checks (e.g. stabilizer constraints) is repeatedly evaluated to produce an error syndrome that identifies which constraints were violated without directly revealing the logical state. A decoder then maps the syndrome to a recovery operation that returns the system to the codespace and suppresses logical failure below a threshold. Neural circuits exhibit error-control strategies that can be viewed through a related biological error correction (BEC) pattern: information is distributed across multiple neurons (redundant encoding), yielding reliable collective activity from error-prone unit operations of individual neurons. The structural analogy with QEC raises the question whether collective activity may be constrained on lower-dimensional manifolds (a biological codespace), allowing recurrent circuit dynamics and mismatch signals to function as syndrome-like indicators of constraint violations, driving fast corrective dynamics and slower adaptive updates. Our structural analogy also suggests that new insights into brain-inspired algorithms for collective information processing may inform novel QEC approaches. We perform numerical experiments using simplified models of qubit and neuron dynamics to illustrate the analogy.