16 citations · 65 across the 9 of their papers we have counts for
4 papers · 1 filter
Constructions of Subsystem Codes over Finite Fields
Salah A. Aly, Andreas Klappenecker
Subsystem codes protect quantum information by encoding it in a tensor factor of a subspace of the physical state space. Subsystem codes generalize all major quantum error protecti…
Asymmetric and Symmetric Subsystem BCH Codes and Beyond
Salah A. Aly
Recently, the theory of quantum error control codes has been extended to subsystem codes over symmetric and asymmetric quantum channels -- qubit-flip and phase-shift errors may hav…
Propagation Rules of Subsystem Codes
Salah A. Aly
We demonstrate propagation rules of subsystem code constructions by extending, shortening and combining given subsystem codes. Given an subsystem code, we drive new…
Quantum Convolutional Codes Derived From Reed-Solomon and Reed-Muller Codes
Salah A. Aly, Andreas Klappenecker, Pradeep Kiran Sarvepalli
Convolutional stabilizer codes promise to make quantum communication more reliable with attractive online encoding and decoding algorithms. This paper introduces a new approach to…