From the 1 of 7 linked papers with an AI index.
7 papers
Large sets of mutually orthogonal quantum Latin squares
Simeon Ball, Robin Simoens
The paper studies the maximum size of sets of mutually orthogonal quantum Latin squares, proving that any set of n‑2 such squares of order n must be classical and constructing larg…
The mixed-dimensional quantum MacWilliams identity: bounds for codes and absolutely maximally entangled states in heterogeneous systems
David González-Lociga, Simeon Ball
As emerging quantum architectures evolve into heterogeneous networks combining different physical substrates, such as qubits for logic and higher-dimensional qudits for robust comm…
Thirty-six quantum officers are entangled
Simeon Ball, Robin Simoens
There exist pairs of orthogonal Latin squares of any order n except if n=2 or n=6 [Bose, Shrikhande and Parker, 1960]. In particular, the problem of Euler's thirty-six officers doe…
Error-correcting codes and absolutely maximally entangled states for mixed dimensional Hilbert spaces
Simeon Ball, Raven Zhang
A major difficulty in quantum computation is the ability to implement fault tolerant computations, protecting information against undesired interactions with the environment. Stabi…
Griesmer type bounds for additive codes over finite fields, integral and fractional MDS codes
Simeon Ball, Michel Lavrauw, Tabriz Popatia
In this article we prove Griesmer type bounds for additive codes over finite fields. These new bounds give upper bounds on the length of maximum distance separable (MDS) codes, cod…
Additive codes from linear codes
Simeon Ball, Tabriz Popatia
We introduce two constructions of additive codes over finite fields. Both constructions start with a linear code over a field with elements and give additive codes over the fie…