6 papers
Quasi-Orthogonal Stabilizer Design for Efficient Quantum Error Suppression
Valentine Nyirahafashimana, Sharifah Kartini Said Husain, Umair Abdul Halim +2
Orthogonal geometric constructions are the basis of many many quantum error-correcting codes (QEC), but strict orthogonality constraints limit design flexibility and resource effic…
Generalized Code Distance through Rotated Logical States in Quantum Error Correction
Valentine Nyirahafashimana, Nurisya Mohd Shah, Umair Abdul Halim +1
We construct rotated logical states by applying rotation operators to stabilizer states, extending the logical basis and modifying stabilizer generators. Rotation operators affect…
Quantum Error Correction in Quaternionic Hilbert Spaces
Valentine Nyirahafashimana, Nurisya Mohd Shah, Umair Abdul Halim +2
We propose quaternion-based strategies for quantum error correction by extending quantum mechanics into quaternionic Hilbert spaces. Building on the properties of quaternionic quan…
Qubit Geometry through Holomorphic Quantization
Ahmad Hazazi Ahmad Sumadi, Nurisya Mohd Shah, Umair Abdul Halim +1
We develop a wave mechanics formalism for qubit geometry using holomorphic functions and Mobius transformations, providing a geometric perspective on quantum computation. This fram…
Optimizing Qubit Mapping with Quasi-Orthogonal Space-Time Block Codes and Quaternion Orthogonal Designs
Valentine Nyirahafashimana, Nurisya Mohd Shah, Umair Abdul Halim +2
This study explores the qubit mapping through the integration of Quasi-Orthogonal Space-Time Block Codes (QOSTBCs) with Quaternion Orthogonal Designs (QODs) in quantum error correc…
Transforming qubits via quasi-geometric approaches
Nyirahafashimana Valentine, Nurisya Mohd Shah, Umair Abdul Halim +2
We develop a theory based on quasi-geometric (QG) approach to transform a small number of qubits into a larger number of error-correcting qubits by considering four different cases…