Quasi-orthogonal subalgebras of matrix algebras

Abstract

We investigate pairwise quasi-orthogonal subalgebras in $M_{p^{kn}}$ which are isomorphic to $M_{p^k}$ for $k\ge 1$, $n\ge 2$ and a prime number $p$ with $p\ge 3$. We prove there exist $p^{2kn}-1/p^{2k}-1$ such subalgebras and they span $M_{p^{kn}}$.

12pages

References in corpus (1)

• Complementary reductions for two qubits