65 citations · 337 across the 40 of their papers we have counts for
4 papers · 1 filter
Factoring Permutation Matrices Into a Product of Tridiagonal Matrices
Michael Daniel Samson, Martianus Frederic Ezerman
Gilbert Strang posited that a permutation matrix of bandwidth can be written as a product of permutation matrices of bandwidth 1. A proof employing a greedy ``parallel…
Pure Asymmetric Quantum MDS Codes from CSS Construction: A Complete Characterization
Martianus Frederic Ezerman, Somphong Jitman, Han Mao Kiah +1
Using the Calderbank-Shor-Steane (CSS) construction, pure -ary asymmetric quantum error-correcting codes attaining the quantum Singleton bound are constructed. Such codes are ca…
From Skew-Cyclic Codes to Asymmetric Quantum Codes
Martianus Frederic Ezerman, San Ling, Patrick Sole +1
We introduce an additive but not -linear map from to and exhibit some of its interesting structural properties. If is a…
Additive Asymmetric Quantum Codes
Martianus Frederic Ezerman, San Ling, Patrick Sole
We present a general construction of asymmetric quantum codes based on additive codes under the trace Hermitian inner product. Various families of additive codes over $\F_{4}$ are…