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From Quantum Beats to Topological Protection: A Stratum-Based Hybrid Architecture Integrating NV Centers, Weyl Interfaces, and Majorana Qubits for Fault-Tolerant Quantum Computing

Mehmet Keçeci

Published Oct 17, 2026• 0 citations
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Abstract

From Quantum Beats to Topological Protection: A Stratum-Based Hybrid Architecture Integrating NV Centers, Weyl Interfaces, and Majorana Qubits for Fault-Tolerant Quantum Computing Mehmet Keçeci Orcid: https://orcid.org/0000-0001-9937-9839 Abstract: The realization of scalable and fault-tolerant quantum computing systems requires not only the development of qubits with long coherence times but also the integration of heterogeneous physical platforms within a unified architectural framework. This study proposes a Stratum-based hybrid quantum computing architecture that combines the precise quantum state control enabled by nitrogen-vacancy (NV) centers in diamond, the topological interface properties of Weyl semimetals, and the intrinsic error resilience provided by Majorana zero modes. The primary objective of this work is to establish a theoretical foundation for next-generation fault-tolerant quantum systems by integrating high-fidelity spin manipulation mechanisms derived from quantum beat phenomena with topologically protected information-processing layers. Within the proposed framework, the Stratum Model conceptualizes each physical, functional, and topological component of the quantum architecture as an independent yet dynamically interacting layer. NV centers constitute the control and sensing strata responsible for quantum state preparation, precision measurements, quantum memory operations, and quantum network node functionalities. Quantum beats serve as a dynamic characterization mechanism for spin superposition states within these layers, enabling high-accuracy monitoring and manipulation of coherent quantum dynamics. In contrast, Weyl interfaces are modeled as intermediary topological strata that govern transitions between distinct topological phases while facilitating robust and protected transfer of quantum information carriers across heterogeneous subsystems. At the highest operational level, Majorana qubits form the topological computing layer of the architecture. Through nonlocal quantum information encoding, they provide inherent robustness against environmental noise, decoherence, and local perturbations. Interactions among architectural layers are defined not only by physical interconnections but also through topological invariants, connectivity structures, error-propagation pathways, and quantum information flow dynamics. In this context, the Stratum approach extends beyond conventional spatial-layer descriptions by incorporating layer diversity, topological protection mechanisms, qubit heterogeneity, and fabrication imperfections into a common analytical framework. Furthermore, the model introduces novel design strategies for isolating defective or degraded strata, preserving critical topological regions, and mitigating system-level error propagation. The findings suggest that the integration of the precise quantum control capabilities of NV centers with the intrinsic topological protection offered by Majorana-based platforms may generate a powerful synergistic effect capable of enhancing quantum computational performance. Weyl interfaces are proposed to act as both physical and topological bridges between these two paradigms, enabling coherent communication across distinct quantum subsystems. Consequently, the proposed Stratum-based hybrid architecture provides an integrated design paradigm applicable to a broad spectrum of emerging quantum technologies, ranging from quantum sensing and distributed quantum networks to topological quantum processors and large-scale fault-tolerant quantum computers. Keywords: Quantum Computing, Stratum Model, Nitrogen-Vacancy Centers, NV Centers, Quantum Beats, Weyl Interfaces, Weyl Semimetals, WSM, Majorana Qubits, Majorana Zero Modes, MZM, Topological Quantum Computing, Topological Protection, Hybrid Quantum Architectures, Topological Invariants, Non-Abelian Braiding, Fault-Tolerant Quantum Systems, Quantum Memory, Quantum Networks, Quantum Information Processing, Scalable Quantum Architectures, Heterostructures, Topological Phase Transitions, Quantum Coherence, Quantum Error Correction, Quantum Materials Engineering, Layered Quantum Architecture, Topological Quantum Heterostructures.

DOI
10.5281/zenodo.23427142

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From Quantum Beats to Topological Protection: A Stratum-Based Hybrid Architecture Integrating NV Centers, Weyl Interfaces, and Majorana Qubits for Fault-Tolerant Quantum Computing Mehmet Keçeci Orcid: https://orcid.org/0000-0001-9937-9839 Abstract: The realization of scalable and fault-tolerant quantum computing systems requires not only the development of qubits with long coherence times but also the integration of heterogeneous physical platforms within a unified architectural framework. This study proposes a Stratum-based hybrid quantum computing architecture that combines the precise quantum state control enabled by nitrogen-vacancy (NV) centers in diamond, the topological interface properties of Weyl semimetals, and the intrinsic error resilience provided by Majorana zero modes. The primary objective of this work is to establish a theoretical foundation for next-generation fault-tolerant quantum systems by integrating high-fidelity spin manipulation mechanisms derived from quantum beat phenomena with topologically protected information-processing layers. Within the proposed framework, the Stratum Model conceptualizes each physical, functional, and topological component of the quantum architecture as an independent yet dynamically interacting layer. NV centers constitute the control and sensing strata responsible for quantum state preparation, precision measurements, quantum memory operations, and quantum network node functionalities. Quantum beats serve as a dynamic characterization mechanism for spin superposition states within these layers, enabling high-accuracy monitoring and manipulation of coherent quantum dynamics. In contrast, Weyl interfaces are modeled as intermediary topological strata that govern transitions between distinct topological phases while facilitating robust and protected transfer of quantum information carriers across heterogeneous subsystems. At the highest operational level, Majorana qubits form the topological computing layer of the architecture. Through nonlocal quantum information encoding, they provide inherent robustness against environmental noise, decoherence, and local perturbations. Interactions among architectural layers are defined not only by physical interconnections but also through topological invariants, connectivity structures, error-propagation pathways, and quantum information flow dynamics. In this context, the Stratum approach extends beyond conventional spatial-layer descriptions by incorporating layer diversity, topological protection mechanisms, qubit heterogeneity, and fabrication imperfections into a common analytical framework. Furthermore, the model introduces novel design strategies for isolating defective or degraded strata, preserving critical topological regions, and mitigating system-level error propagation. The findings suggest that the integration of the precise quantum control capabilities of NV centers with the intrinsic topological protection offered by Majorana-based platforms may generate a powerful synergistic effect capable of enhancing quantum computational performance. Weyl interfaces are proposed to act as both physical and topological bridges between these two paradigms, enabling coherent communication across distinct quantum subsystems. Consequently, the proposed Stratum-based hybrid architecture provides an integrated design paradigm applicable to a broad spectrum of emerging quantum technologies, ranging from quantum sensing and distributed quantum networks to topological quantum processors and large-scale fault-tolerant quantum computers. Keywords: Quantum Computing, Stratum Model, Nitrogen-Vacancy Centers, NV Centers, Quantum Beats, Weyl Interfaces, Weyl Semimetals, WSM, Majorana Qubits, Majorana Zero Modes, MZM, Topological Quantum Computing, Topological Protection, Hybrid Quantum Architectures, Topological Invariants, Non-Abelian Braiding, Fault-Tolerant Quantum Systems, Quantum Memory, Quantum Networks, Quantum Information Processing, Scalable Quantum Architectures, Heterostructures, Topological Phase Transitions, Quantum Coherence, Quantum Error Correction, Quantum Materials Engineering, Layered Quantum Architecture, Topological Quantum Heterostructures.
Abstract: The rapid advancement of quantum computing is largely driven by innovations in quantum chip architectures, with superconducting and topological qubits emerging as the most promising candidates for scalable and fault-tolerant quantum processors. Superconducting qubits, built using Josephson junctions, have demonstrated significant progress in coherence time, gate fidelity, and quantum error correction, making them the backbone of leading quantum processors such as IBM’s Eagle and Google’s Sycamore. Meanwhile, topological qubits, based on Majorana zero modes (MZMs) and non-Abelian anyons, offer intrinsic error resistance, reducing the computational overhead required for fault-tolerant quantum operations. This chapter explores the fundamental principles, fabrication techniques, and scalability challenges associated with these next-generation quantum chips, highlighting key advancements in hybrid quantum architectures, quantum error mitigation, and cryogenic quantum-classical interfacing. Additionally, it examines the geopolitical and ethical considerations of quantum supremacy, along with the transformative impact of next-gen quantum chips on AI, cryptography, materials science, and optimization problems. As research accelerates, the path toward scalable, fault-tolerant quantum computing is becoming clearer, paving the way for a future where quantum processors outperform classical supercomputers in solving the world’s most complex challenges. Keywords: Quantum chips, superconducting qubits, topological qubits, Josephson junctions, Majorana zero modes, quantum error correction, hybrid quantum architectures, fault-tolerant quantum computing, cryogenic electronics, quantum-classical interfacing, scalable quantum processors, AI-driven quantum computing, quantum supremacy, post-quantum cryptography, nanofabrication, quantum hardware innovation
The development of practical quantum computers hinges critically on the ability to reliably store and retrieve quantum information – a challenge known as quantum memory. Current quantum computing approaches face significant decoherence issues, limiting the duration and fidelity of quantum computations. This work investigates the potential of utilizing topological quantum states, specifically Majorana fermions, as a foundation for robust quantum memory architectures. We explore theoretical designs leveraging the unique topological protection inherent in these states, aiming to mitigate decoherence and enable long-term quantum storage. This research presents a novel approach to quantum memory that directly addresses the fundamental limitations of conventional qubit technologies. The core concept revolves around encoding quantum information within the non-local properties of Majorana fermions, offering a pathway towards fault-tolerant quantum storage. The presented architectures focus on creating and manipulating these states to perform quantum memory operations, and the underlying mathematical framework is detailed throughout this document. The investigation considers various approaches to controlling and reading out the state of Majorana fermions, and outlines the key challenges and potential solutions for realizing such a system.
This paper proposes a novel approach to quantum computation leveraging the topological properties of quantum entanglement. The core claim is to construct a highly fault-tolerant distributed computing architecture by harnessing these topological features, thereby mitigating the decoherence challenges prevalent in traditional quantum computing. The proposed mechanism involves encoding quantum information into physically interconnected quantum nodes via entangled networks. This topological protection inherently provides redundancy for quantum information storage and facilitates error correction. Furthermore, the architecture utilizes the inherent topology of the nodes for parallel computation. The resulting system offers a fundamentally different paradigm for quantum computing, promising scalability and robustness. The theoretical framework presented outlines the key components and operational principles, focusing on the manipulation and utilization of entangled states within a topological framework. The primary goal is to demonstrate a pathway towards building practical, resilient quantum computers capable of tackling complex computational problems. This work establishes a foundational model for future research in entanglement-based topological quantum computation.
This paper proposes a novel architecture for quantum computing based on topological crystalline transistors protected by topological principles. The core concept leverages non-Abelian anyons to implement a topological quantum error correction code, offering a pathway to robust quantum computation resistant to local disturbances. We detail the theoretical framework, focusing on the design principles and mathematical formalism underlying this approach. The architecture utilizes specially engineered topological crystals to confine and manipulate anyons, enabling reliable quantum operations. We present a rigorous analysis of the error correction mechanisms, demonstrating the potential for significantly improved fault tolerance compared to conventional qubit designs. Key aspects include the encoding scheme using braiding operations of anyons, the topological redundancy for error detection and correction, and the resulting improved qubit fidelity. The proposed design represents a significant step towards practical, scalable quantum computers capable of enduring the inherent challenges of quantum decoherence. The presented model highlights the crucial role of topological protection in realizing a stable and reliable quantum computing platform. Our focus is on the theoretical development and the underlying mathematical structure of this approach, laying the groundwork for future experimental investigations.
The pursuit of fault-tolerant quantum computing necessitates qubit architectures that are inherently robust against environmental decoherence and operational errors. Spintronic qubits, leveraging the spin degree of freedom of electrons, offer a promising platform due to their long coherence times and compatibility with solid-state systems. However, even spintronic qubits remain susceptible to local noise. This paper explores the profound potential of Heisenberg-Kitaev interactions to confer topological protection upon spintronic qubits. By engineering materials and systems that exhibit these anisotropic, bond-directional interactions, it is theoretically possible to realize exotic quantum spin liquid states hosting non-Abelian anyons, such as Majorana zero modes. Encoding quantum information in the nonlocal properties of these anyons would render qubits immune to local perturbations, dramatically extending coherence times and simplifying error correction protocols. We provide a comprehensive review of the theoretical underpinnings of the Kitaev and Heisenberg-Kitaev models, survey candidate materials where such interactions are prevalent, and propose conceptual designs for topologically protected spintronic qubits. This work uniquely consolidates the theoretical framework of Heisenberg-Kitaev interactions with the practical demands of spintronic qubit design, offering a systematic conceptual pathway for their topological protection and predicting their robust characteristics. We further discuss the methodologies for theoretical modeling, the expected characteristics of such qubits, and the significant experimental challenges that must be overcome for their practical realization. This work highlights Heisenberg-Kitaev interactions as a crucial pathway towards the development of truly fault-tolerant and scalable quantum computing technologies.
Topological quantum computing seeks to store and manipulate information in a protected manner using topological phases of matter. Information encoded in the degenerate state space of pairs of non-Abelian anyons or defects is robust to local perturbations, reducing its susceptiblity to environmental errors and potentially providing a scalable approach to quantum computing. However, topological quantum computing faces significant challenges, not least of which is identifying an experimentally accessible platform supporting non-Abelian topological physics. In this thesis, we critically analyze topological quantum computing with Majorana zero modes, non-Abelian defects of a topological superconductor. We identify intrinsic error sources for Majorana-based systems and propose quantum computing architectures that minimize their effects. Additionally, we consider a new approach for realizing and detecting non-Abelian topological defects in fractional Chern insulators. Topological quantum computing is predicated on the idea that braiding non-Abelian anyons adiabatically can implement quantum gates fault tolerantly. However, any braiding experiment will necessarily depart from the strict adiabatic limit. We begin by analyzing the nature of diabatic errors for anyon braiding, paying particular attention to how such errors scale with braiding time. We find that diabatic errors are unfavorably large and worryingly sensitive to details of the time evolution. We present a measurement-based correction protocol for such errors, and illustrate its application in a particular Majorana-based qubit design. We next propose designs for Majorana-based qubits operated entirely by a measurement-based protocol, thereby avoiding the diabatic errors discussed above. Our designs can be scaled into large two dimensional arrays amenable to long-term quantum computing goals, whose core components are testable in near-term devices. These qubits are robust to quasiparticle poisoning, anticipated to be one of the dominant error sources coupling to Majorana zero modes. We demonstrate that our designs support topologically protected Clifford operations and can be augmented to a universal gate set without requiring additional control parameters.While topological protection greatly suppresses errors, residual coupling to noise limits the lifetimes of our proposed Majorana-based qubits. We analyze the dephasing times for our quasiparticle-poisoning-protected qubits by calculating their charge distribution using a particle number-conserving formalism. We find that fluctuations in the electromagnetic environment couple to an exponentially suppressed topological dipole moment. We estimate dephasing times due to 1/f1/f1/f noise, thermal quasiparticle excitations, and phonons for different qubit sizes.The residual errors discussed above will necessarily require error correction for a sufficiently long quantum computation. We develop physically motivated noise models for Majorana-based qubits that can be used to analyze the performance of a quantum error correcting code. We apply this noise model to estimate pseudo-thresholds for a small subsystem code, identifying the relative importance of difference error processes from a fault tolerance perspective. Our results emphasize the necessity of suppressing long-lived quasiparticle excitations that can spread across the code.Finally, we turn our attention to a different platform that could host non-Abelian topological defects: fractional Chern insulators in graphene. We study the edge states of fractional Chern insulators using the field theory of fractional quantum Hall edges supplemented with a symmetry action. We find that lattice symmetries impose a quantized momentum difference for edge electrons in a fractional state of a C=2C=2C=2 Chern band. This momentum difference can be used to selectively contact the different edge states, thereby allowing detection of topological defects in the bulk with a standard four terminal measurement. Our proposal could be implemented in graphene subject to an artificially patterned lattice.