3.9k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Slovak Academy of SciencesSK377 papers
- Centre National de la Recherche ScientifiqueFR328 papers
- University of GroningenNL256 papers
- Instituto de Astrofísica de CanariasES218 papers
- Leiden UniversityNL201 papers
- University of AmsterdamNL199 papers
- Université Paris CitéFR193 papers
- National Institute for AstrophysicsIT192 papers
- Czech Academy of Sciences, Astronomical InstituteCZ181 papers
- Sorbonne UniversitéFR178 papers
- Max Planck Institute for AstronomyDE177 papers
- Goddard Space Flight CenterUS172 papers
28 papers · 1 filter
A new heuristic approach for contextuality degree estimates and its four- to six-qubit portrayals
Axel Muller, Metod Saniga, Alain Giorgetti +2
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 configurat…
Hexagons govern three-qubit contextuality
Metod Saniga, Frédéric Holweck, Colm Kelleher +3
Split Cayley hexagons of order two are distinguished finite geometries living in the three-qubit symplectic polar space in two different forms, called classical and skew. Although…
New and improved bounds on the contextuality degree of multi-qubit configurations
Axel Muller, Metod Saniga, Alain Giorgetti +2
We present algorithms and a C code to reveal quantum contextuality and evaluate the contextuality degree (a way to quantify contextuality) for a variety of point-line geometries lo…
Multi-qubit doilies: enumeration for all ranks and classification for ranks four and five
Axel Muller, Metod Saniga, Alain Giorgetti +2
For , an -qubit doily is a doily living in the -qubit symplectic polar space. These doilies are related to operator-based proofs of quantum contextuality. Following…
Three-Qubit-Embedded Split Cayley Hexagon is Contextuality Sensitive
Frédéric Holweck, Henri de Boutray, Metod Saniga
It is known that there are two non-equivalent embeddings of the split Cayley hexagon of order two into , the binary symplectic polar space of rank three, called c…
Contextuality degree of quadrics in multi-qubit symplectic polar spaces
Henri de Boutray, Frédéric Holweck, Alain Giorgetti +2
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 contextuality…
Taxonomy of Polar Subspaces of Multi-Qubit Symplectic Polar Spaces of Small Rank
Metod Saniga, Henri de Boutray, Frederic Holweck +1
We study certain physically-relevant subgeometries of binary symplectic polar spaces of small rank , when the points of these spaces canonically encode -qubit obs…
A Class of Three-Qubit Contextual Configurations Located in Fano Pentads
Metod Saniga
Given the symplectic polar space of type , let us call a set of five Fano planes sharing pairwise a single point a Fano pentad. Once 63 points of are appropriately…
A Finite-Geometric Classification of Three-Qubit Mermin Pentagrams
Metod Saniga, Frederic Holweck, Hamza Jaffali
Given the facts that the three-qubit symplectic polar space features three different kinds of observables and each of its labeled Fano planes acquires a definite sign, we found tha…
Magic Three-Qubit Veldkamp Line and Veldkamp Space of the Doily
Metod Saniga, Zsolt Szabó
A magic three-qubit Veldkamp line of , i.\,e. the line comprising a hyperbolic quadric , an elliptic quadric and a quadratic cone $…
Contextuality with a Small Number of Observables
Frédéric Holweck, Metod Saniga
We investigate small geometric configurations that furnish observable-based proofs of the Kochen-Specker theorem. Assuming that each context consists of the same number of observab…
Five-Qubit Contextuality, Noise-Like Distribution of Distances Between Maximal Bases and Finite Geometry
Michel Planat, Metod Saniga
Employing five commuting sets of five-qubit observables, we propose specific 160-661 and 160-21 state proofs of the Bell-Kochen-Specker theorem that are also proofs of Bell's theor…
Finite Geometry Behind the Harvey-Chryssanthacopoulos Four-Qubit Magic Rectangle
Metod Saniga, Michel Planat
A "magic rectangle" of eleven observables of four qubits, employed by Harvey and Chryssanthacopoulos (2008) to prove the Bell-Kochen-Specker theorem in a 16-dimensional Hilbert spa…
Mermin's Pentagram as an Ovoid of PG(3,2)
Metod Saniga, Peter Levay
Mermin's pentagram, a specific set of ten three-qubit observables arranged in quadruples of pairwise commuting ones into five edges of a pentagram and used to provide a very simple…
A Sequence of Qubit-Qudit Pauli Groups as a Nested Structure of Doilies
Metod Saniga, Michel Planat
Following the spirit of a recent work of one of the authors (J. Phys. A: Math. Theor. 44 (2011) 045301), the essential structure of the generalized Pauli group of a qubit-quit,…
Moebius Pairs of Simplices and Commuting Pauli Operators
Hans Havlicek, Boris Odehnal, Metod Saniga
There exists a large class of groups of operators acting on Hilbert spaces, where commutativity of group elements can be expressed in the geometric language of symplectic polar spa…
Three-Qubit Operators, the Split Cayley Hexagon of Order Two and Black Holes
Peter Levay, Metod Saniga, Peter Vrana
The set of 63 real generalized Pauli matrices of three-qubits can be factored into two subsets of 35 symmetric and 28 antisymmetric elements. This splitting is shown to be complete…
Projective Ring Line of an Arbitrary Single Qudit
Hans Havlicek, Metod Saniga
As a continuation of our previous work (arXiv:0708.4333) an algebraic geometrical study of a single -dimensional qudit is made, with being {\it any} positive integer. The st…
Projective Ring Line of a Specific Qudit
Hans Havlicek, Metod Saniga
A very particular connection between the commutation relations of the elements of the generalized Pauli group of a -dimensional qudit, being a product of distinct primes, an…
Multi-Line Geometry of Qubit-Qutrit and Higher-Order Pauli Operators
Michel R. P. Planat, Anne-Céline Baboin, Metod Saniga
The commutation relations of the generalized Pauli operators of a qubit-qutrit system are discussed in the newly established graph-theoretic and finite-geometrical settings. The du…
The Veldkamp Space of Two-Qubits
Metod Saniga, Michel Planat, Petr Pracna +1
Given a remarkable representation of the generalized Pauli operators of two-qubits in terms of the points of the generalized quadrangle of order two, W(2), it is shown that specifi…
Projective Ring Line Encompassing Two-Qubits
Metod Saniga, Michel Planat, Petr Pracna
The projective line over the (non-commutative) ring of two-by-two matrices with coefficients in GF(2) is found to fully accommodate the algebra of 15 operators - generalized Pauli…
Multiple Qubits as Symplectic Polar Spaces of Order Two
Metod Saniga, Michel Planat
It is surmised that the algebra of the Pauli operators on the Hilbert space of N-qubits is embodied in the geometry of the symplectic polar space of rank N and order two, W_{2N - 1…
Quantum Entanglement and Projective Ring Geometry
Michel R. P. Planat, Metod Saniga, Maurice R. Kibler
The paper explores the basic geometrical properties of the observables characterizing two-qubit systems by employing a novel projective ring geometric approach. After introducing t…