27 citations · 299 across the 36 of their papers we have counts for
6 papers · 1 filter
A finite geometric toy model of space-time as an error correcting code
Péter Lévay, Frédéric Holweck
A finite geometric model of space-time (which we call the bulk) is shown to emerge as a set of error correcting codes. The bulk is encoding a set of messages located in a blow up o…
Quantum Entanglement involved in Grover's and Shor's algorithms: the four-qubit case
Hamza Jaffali, Frédéric Holweck
In this paper, we study the nature of entanglement in quantum Grover's and Shor's algorithms. So far, the authors who have been interested in this problem have approached the quest…
Geometric constructions over and for Quantum Information
Frédéric Holweck
In this review paper I present two geometric constructions of distinguished nature, one is over the field of complex numbers and the other one is over the two elements…
Hyperdeterminants from the Discriminant
Frédéric Holweck, Luke Oeding
We find expressions of the polynomials defining the dual varieties of Grassmannians and both in terms of the fundamental invariants and in terms of a generic se…
Veldkamp Spaces of Low-Dimensional Ternary Segre Varieties
Metod Saniga, Jérôme Boulmier, Maxime Pinard +1
Making use of the `Veldkamp blow-up' recipe, introduced by Saniga and others (Ann. Inst. H. Poincar\' e D2 (2015) 309) for binary Segre varieties, we study geometric hyperplanes an…
A fermionic code related to the exceptional group
Péter Lévay, Frédéric Holweck
In this paper we study the Hamming-like fermionic code encoding three-qubits into sixteen Majorana modes recently introduced by Hastings. We show that although this fermionic code…