Zobrazeno 1 - 10
of 149
pro vyhledávání: '"Metod Saniga"'
Publikováno v:
Scientific Reports, Vol 12, Iss 1, Pp 1-9 (2022)
Abstract 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 binary symplectic polar space of rank three can be used to
Externí odkaz:
https://doaj.org/article/ea3e8e65b3f640c988ab32b8518c4419
Publikováno v:
Results in Physics, Vol 22, Iss , Pp 103859- (2021)
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-states with ma
Externí odkaz:
https://doaj.org/article/321eddb82d5c49c899a13f66d44188fb
Publikováno v:
Mathematics, Vol 9, Iss 18, p 2272 (2021)
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) ar
Externí odkaz:
https://doaj.org/article/e8fde59285764422a9a280a74d205697
Autor:
Metod Saniga
Publikováno v:
Mathematics, Vol 9, Iss 13, p 1524 (2021)
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 pentad g
Externí odkaz:
https://doaj.org/article/9b2dbf00253d47b982c74d942c2aa000
Autor:
Metod Saniga, Zsolt Szabó
Publikováno v:
Symmetry, Vol 12, Iss 6, p 963 (2020)
A magic three-qubit Veldkamp line of W ( 5 , 2 ) , i.e., the line comprising a hyperbolic quadric Q + ( 5 , 2 ) , an elliptic quadric Q − ( 5 , 2 ) and a quadratic cone Q ^ ( 4 , 2 ) that share a parabolic quadric Q ( 4 , 2 ) , the doily, is shown
Externí odkaz:
https://doaj.org/article/3756a9d1fa0d4ac794de96fed7f32894
Publikováno v:
Symmetry, Vol 12, Iss 4, p 534 (2020)
Given the fact 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 key
Externí odkaz:
https://doaj.org/article/f7a8ebf2eea34a968e80eb8888b77dfd
Publikováno v:
Mathematics, Vol 3, Iss 4, Pp 1192-1221 (2015)
Given a 2N -dimensional Cayley-Dickson algebra, where 3 ≤ N ≤ 6 , we first observe that the multiplication table of its imaginary units ea , 1 ≤ a ≤ 2N - 1 , is encoded in the properties of the projective space PG(N - 1,2) if these imaginary
Externí odkaz:
https://doaj.org/article/60e30621475441e6b8d9a591633c477b
Autor:
Metod Saniga
Publikováno v:
Mathematics, Vol 3, Iss 2, Pp 481-486 (2015)
Given a hyperbolic quadric of PG(5, 2), there are 28 points off this quadric and 56 lines skew to it. It is shown that the (286; 563)-configuration formed by these points and lines is isomorphic to the combinatorial Grassmannian of type G2(8). It is
Externí odkaz:
https://doaj.org/article/c02923935fb447d8815d60f437f49327
Autor:
Metod Saniga, Edyta Bartnicka
Publikováno v:
Axioms, Vol 8, Iss 1, p 28 (2019)
In this paper, it is shown that there exists a particular associative ring with unity of order 16 such that the relations between non-unimodular free cyclic submodules of its two-dimensional free left module can be expressed in terms of the structure
Externí odkaz:
https://doaj.org/article/13999fff258244ebbc10f9ddf1e4a361
Autor:
Metod Saniga
Publikováno v:
Entropy, Vol 19, Iss 10, p 556 (2017)
It is demonstrated that the magic three-qubit Veldkamp line occurs naturally within the Veldkamp space of a combinatorial Grassmannian of type G 2 ( 7 ) , V ( G 2 ( 7 ) ) . The lines of the ambient symplectic polar space are those lines of V ( G 2 (
Externí odkaz:
https://doaj.org/article/b218877e8c984a92816834472752c08f