Scalable topological quantum computing based on Sine-Cosine chain models

TL;DR

This paper introduces a scalable topological quantum computing framework using Sine-Cosine chains that enable high-dimensional qudit encoding, potentially reducing resource overhead and enhancing fault tolerance.

Contribution

It presents a novel Sine-Cosine chain model for topological quantum computing supporting high-dimensional qudits and efficient gate operations with partial topological protection.

Findings

Chains support high-dimensional qudits within single systems

Y-junction braiding protocols enable gate operations

Partial topological protection against disorder

Abstract

This work proposes a scalable framework for topological quantum computing using Matryoshka-type Sine-Cosine chains. These chains support high-dimensional qudit encoding within single systems, reducing the physical resource overhead compared to conventional qubit arrays. We describe how these chains can be used in Y-junction braiding protocols for gate operations and in extended memory architectures capable of storing multiple qubits simultaneously. Fidelity analysis shows partial topological protection against disorder, suggesting this approach is a possible pathway toward low-overhead quantum hardware.