Holographic space-time and quantum information

T Banks - Frontiers in physics, 2020 - frontiersin.org
The formalism of Holographic Space-time (HST) is a translation of the principles of
Lorentzian geometry into the language of quantum information. Intervals along time-like …

Symmetries and geometries of qubits, and their uses

ARP Rau - Symmetry, 2021 - mdpi.com
The symmetry SU (2) and its geometric Bloch Sphere rendering have been successfully
applied to the study of a single qubit (spin-1/2); however, the extension of such symmetries …

Three-qubit-embedded split Cayley hexagon is contextuality sensitive

F Holweck, H de Boutray, M Saniga - Scientific Reports, 2022 - nature.com
In this article, we show that sets of three-qubit quantum observables obtained by considering
both the classical and skew embeddings of the split Cayley hexagon of order two into the …

Testing quantum contextuality of binary symplectic polar spaces on a Noisy Intermediate Scale Quantum Computer

F Holweck - Quantum Information Processing, 2021 - Springer
Abstract The development of Noisy Intermediate Scale Quantum Computers (NISQC)
provides for the Quantum Information community new tools to perform quantum experiences …

Taxonomy of polar subspaces of multi-qubit symplectic polar spaces of small rank

M Saniga, H de Boutray, F Holweck, A Giorgetti - Mathematics, 2021 - mdpi.com
We study certain physically-relevant subgeometries of binary symplectic polar spaces W (2
N− 1, 2) of small rank N, when the points of these spaces canonically encode N-qubit …

Lagrangian Grassmannians and spinor varieties in characteristic two

B Van Geemen, A Marrani - SIGMA. Symmetry, Integrability and …, 2019 - emis.de
The vector space of symmetric matrices of size $ n $ has a natural map to a projective space
of dimension $2^ n-1$ given by the principal minors. This map extends to the Lagrangian …

Mapping qubit algebras to combinatorial designs

JP Marceaux, ARP Rau - Quantum Information Processing, 2020 - Springer
This work considers combinatorial designs in terms of the algebra of quantum spins,
providing insights and techniques useful to both. The number 15 that is central to a famous …

Computational studies of entanglement and quantum contextuality properties towards their formal verification

H De Boutray - 2021 - hal.science
Although current quantum computers are limited to the use of a few quantum bits, the
foundations of quantum programing have been growing over the last 20 years. These …

The Nakano–Nishijima–Gell-Mann Formula from Discrete Galois Fields

K Nakatsugawa, M Ohaga, T Fujii, T Matsuyama… - Symmetry, 2020 - mdpi.com
The well known Nakano–Nishijima–Gell-Mann (NNG) formula relates certain quantum
numbers of elementary particles to their charge number. This equation, which …

[PDF][PDF] Finite Geometric Methods in Quantum Theory

Z Szabó - researchgate.net
This thesis is the continuation of my previous work 1 [10] in the cross field of quantum
information and finite geometry, and one of the main motivations was the toy model …