3 papers
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…
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…