Stochastic local operations with classical communication of absolutely maximally entangled states

A Burchardt, Z Raissi - Physical Review A, 2020 - APS
Absolutely maximally entangled (AME) states are maximally entangled for every bipartition
of the system. They are crucial resources for various quantum information protocols. We …

Black hole entropy and finite geometry

P Lévay, M Saniga, P Vrana, P Pracna - Physical Review D—Particles, Fields …, 2009 - APS
It is shown that the E 6 (6) symmetric entropy formula describing black holes and black
strings in D= 5 is intimately tied to the geometry of the generalized quadrangle GQ (2, 4) with …

Magic three-qubit Veldkamp line: A finite geometric underpinning for form theories of gravity and black hole entropy

P Lévay, F Holweck, M Saniga - Physical Review D, 2017 - APS
We investigate the structure of the three-qubit magic Veldkamp line (MVL). This
mathematical notion has recently shown up as a tool for understanding the structures of the …

Contextuality degree of quadrics in multi-qubit symplectic polar spaces

H de Boutray, F Holweck, A Giorgetti… - Journal of Physics A …, 2022 - iopscience.iop.org
Quantum contextuality takes an important place amongst the concepts of quantum
computing that bring an advantage over its classical counterpart. For a large class of …

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 …

Grassmannian connection between three-and four-qubit observables, Mermin's contextuality and black holes

P Lévay, M Planat, M Saniga - Journal of High Energy Physics, 2013 - Springer
A bstract We invoke some ideas from finite geometry to map bijectively 135 heptads of
mutually commuting three-qubit observables into 135 symmetric four-qubit ones. After …

A new heuristic approach for contextuality degree estimates and its four-to six-qubit portrayals

A Muller, M Saniga, A Giorgetti, F Holweck… - arXiv preprint arXiv …, 2024 - arxiv.org
We introduce and describe a new heuristic method for finding an upper bound on the
degree of contextuality and the corresponding unsatisfied part of a quantum contextual …

Mermin pentagrams arising from Veldkamp lines for three qubits

P Lévay, Z Szabó - Journal of Physics A: Mathematical and …, 2017 - iopscience.iop.org
We study the geometry of the space of Mermin pentagrams, objects that are used to rule out
the existence of noncontextual hidden variable theories as alternatives to quantum theory. It …

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 …

From qubits to E7

BL Cerchiai, B van Geemen - Journal of mathematical physics, 2010 - pubs.aip.org
There is an intriguing relation between quantum information theory and super gravity,
discovered by MJ Duff and S. Ferrara. It relates entanglement measures for qubits to black …