Zobrazeno 1 - 10
of 295
pro vyhledávání: '"Saniga, Metod"'
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 configuration with three-element contexts (i.e., lines) located in a multi-qubit
Externí odkaz:
http://arxiv.org/abs/2407.02928
Autor:
Saniga, Metod, Holweck, Frédéric, Kelleher, Colm, Muller, Axel, Giorgetti, Alain, de Boutray, Henri
As it is well known, split Cayley hexagons of order two live in the three-qubit symplectic polar space in two non-isomorphic embeddings, called classical and skew. Although neither of the two embeddings yields observable-based contextual configuratio
Externí odkaz:
http://arxiv.org/abs/2312.07738
Publikováno v:
Math. Struct. Comp. Sci. 34 (2024) 322-343
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 located in binary symplectic polar spaces of small rank. With this code
Externí odkaz:
http://arxiv.org/abs/2305.10225
Publikováno v:
Journal of Computational Science 64 (2022) 101853
For $N \geq 2$, an $N$-qubit doily is a doily living in the $N$-qubit symplectic polar space. These doilies are related to operator-based proofs of quantum contextuality. Following and extending the strategy of Saniga et al. (Mathematics 9 (2021) 227
Externí odkaz:
http://arxiv.org/abs/2206.03599
Publikováno v:
Scientific Reports 12 (2022) 8915
It is known that there are two non-equivalent embeddings of the split Cayley hexagon of order two into $\mathcal{W}(5,2)$, the binary symplectic polar space of rank three, called classical and skew. Labelling the 63 points of $\mathcal{W}(5,2)$ by th
Externí odkaz:
http://arxiv.org/abs/2202.00726
Publikováno v:
Journal of Physics A: Mathematical and Theoretical 55 (2022) 475301
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 proofs, aka. observable-based proofs of the Kochen-Specker Theorem, we
Externí odkaz:
http://arxiv.org/abs/2105.13798
Publikováno v:
Mathematics 9 (2021) 2272
We study certain physically-relevant subgeometries of binary symplectic polar spaces $W(2N-1,2)$ of small rank $N$, when the points of these spaces canonically encode $N$-qubit observables. Key characteristics of a subspace of such a space $W(2N-1,2)
Externí odkaz:
http://arxiv.org/abs/2105.03635
Publikováno v:
Results in Physics 22 (2021) 103859
It is found that $15$ different types of two-qubit $X$-states split naturally into two sets (of cardinality $9$ and $6$) once their entanglement properties are taken into account. We {characterize both the validity and entangled nature of the $X$-sta
Externí odkaz:
http://arxiv.org/abs/2008.03063
Autor:
Saniga, Metod
Publikováno v:
Mathematics 9 (2021) 1524
Given the symplectic polar space of type $W(5,2)$, let us call a set of five Fano planes sharing pairwise a single point a Fano pentad. Once 63 points of $W(5,2)$ are appropriately labeled by 63 non-trivial three-qubit observables, any such Fano pent
Externí odkaz:
http://arxiv.org/abs/2004.07517
Publikováno v:
Symmetry 12 (2020) 534
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 that there are 45 distinct types of Mermin pentagrams in this space. A ke
Externí odkaz:
http://arxiv.org/abs/1911.11401