Quantum Memory Architectures based on Topological Quantum States

Jincheng Zhang

Published Aug 28, 2026• 0 citations

Abstract

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.

DOI: 10.5281/zenodo.22137645

Related papers

Dynamically Reconfigurable Quantum Memories using Topological Qubits

Jincheng Zhang

Quantum memory remains a critical bottleneck in the development of practical quantum computing and quantum communication. Current approaches to quantum memory, primarily based on superconducting or trapped ion technologies, struggle to maintain qubit coherence for extended periods and face significant challenges in scaling to large numbers of qubits. This research proposes a novel approach utilizing topological qubits, specifically Majorana fermions, to realize a dynamically reconfigurable quantum memory. The core concept involves harnessing the robust topological protection inherent in Majorana qubits to drastically reduce decoherence. By applying external magnetic fields, we can manipulate and control the entanglement state of these qubits, enabling rapid data access, retrieval, and erasure. This architecture represents a fundamental shift in quantum memory design, potentially circumventing the limitations of existing technologies and paving the way for scalable and long-lived quantum information storage. The proposed system utilizes a carefully engineered topological substrate to ensure high fidelity operations and minimal sensitivity to environmental noise. This paper details the theoretical framework, the proposed architecture, and explores the key considerations for implementing this dynamically reconfigurable quantum memory.

Aug 29, 20260 citations

Topological Quantum States for Quantum Computing

Jincheng Zhang

This paper explores the potential of topological quantum states for constructing a novel quantum computing architecture. The core claim centers on leveraging the inherent robustness and stability offered by topological quantum states to mitigate the challenges associated with decoherence and errors in conventional quantum computing. The proposed mechanism involves designing a physical implementation of qubits based on topological properties, specifically exploiting their natural resilience to local perturbations. This approach aims to achieve quantum computation with enhanced reliability. The paper details the theoretical framework, focusing on the mathematical representation of topological qubits and the associated quantum gates. It investigates the fundamental properties that contribute to the fault-tolerant nature of topological quantum systems. Finally, it outlines a potential roadmap for advancing this technology, recognizing the significant research and development efforts required to realize its full potential.

Aug 28, 20260 citations

Topological Quantum States for Fault-Tolerant Quantum Computing Architecture

Jincheng Zhang

This paper presents a novel architecture for fault-tolerant quantum computing leveraging the unique properties of topological quantum states. The core idea revolves around harnessing the inherent robustness of these states against local perturbations, thereby mitigating the detrimental effects of quantum decoherence and enabling high-fidelity quantum computation. The proposed architecture utilizes non-local entanglement generated from topological quantum states to facilitate quantum information transmission and storage. Furthermore, a fault-tolerant circuit is constructed, incorporating redundancy encoding and error detection mechanisms to ensure reliable quantum computations. The paper details the theoretical framework and key components of this architecture, highlighting its potential to overcome the limitations of traditional quantum computing approaches and represent a significant step toward practical, scalable quantum computation. The focus is on the design principles and the underlying mathematical foundations that support this architecture.

Sep 2, 20260 citations

Quantum Memory for Neural Networks with Topological Qubits

Jincheng Zhang

This paper explores the potential of employing topological qubits as a robust memory solution for neural networks. The primary challenge in utilizing quantum computing for complex tasks, particularly within neural networks, lies in the decoherence of quantum states. Traditional qubits are highly susceptible to environmental noise, leading to rapid state decay and hindering long-term computations. Topological qubits, due to their inherent properties arising from non-Abelian braiding, offer a promising solution by providing a fundamentally different approach to quantum information storage. This work details a proposed architecture where a neural network is constructed utilizing these topologically protected qubits. We investigate the theoretical framework for encoding and processing information using these qubits, focusing on minimizing decoherence effects. The core claim presented here is that topological qubits can significantly reduce decoherence issues, enabling more complex and longer-term computations within neural networks. We outline a potential computational model and discuss key considerations for implementing such a system, including qubit connectivity, error correction strategies, and the scaling of the network. The research introduces a new approach to quantum memory, directly addressing a critical bottleneck in the advancement of quantum neural networks.

Sep 3, 20260 citations

Topological Protection of Quantum Qubits

Jincheng Zhang

This paper investigates the potential of utilizing topological protection for quantum qubit storage, addressing a critical challenge in the development of practical quantum computing. Current approaches to mitigating decoherence in qubits often rely on physical isolation, which can be complex and introduce new vulnerabilities. This work proposes a novel strategy leveraging anyons within topological insulators to provide robust protection against decoherence. The core concept involves encoding quantum information using the non-Abelian braiding of anyons, inherently safeguarding against local perturbations. We explore the theoretical framework, detailing the mechanisms and potential challenges associated with this approach. This research highlights a promising alternative for achieving enhanced qubit storage stability and contributes to the advancement of topologically protected quantum computing. The key formulas and mathematical notations are presented in plain text.

Aug 28, 20260 citations

Quantum Topological Logic Devices: A Novel Approach to Fault-Tolerant Quantum Computing

Jincheng Zhang

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.

Sep 6, 20260 citations