Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Frédéric Holweck"'
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:
Entropy, Vol 25, Iss 2, p 212 (2023)
We investigate the problem of population transfer in a two-states system driven by an external electromagnetic field featuring a few cycles, until the extreme limit of two or one cycle. Taking the physical constraint of zero-area total field into acc
Externí odkaz:
https://doaj.org/article/02f7065114c743fc88c52fdfcc397e85
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
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:
Frédéric Holweck, Luke Oeding
Publikováno v:
Journal of Algebra. 593:622-650
We find expressions of the polynomials defining the dual varieties of Grassmannians Gr ( 3 , 9 ) and Gr ( 4 , 8 ) both in terms of the fundamental invariants and in terms of a generic semi-simple element. We restrict the polynomial defining the dual
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1925fc196a3a4f8357435dd7865b8179
https://doi.org/10.1016/j.jalgebra.2021.10.017
https://doi.org/10.1016/j.jalgebra.2021.10.017
Publikováno v:
International Journal of Quantum Information. 20
We study entanglement and nonlocality of connected four-qubit hypergraph states. One obtains the Stochastic Local Operations and Classical Communication (SLOCC) classification from the known local unitary (LU)-orbits. We then consider Mermin’s poly
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1787e86113376fdb59bb06bc0ca9acfb
https://doi.org/10.1142/s0219749922500010
https://doi.org/10.1142/s0219749922500010
Publikováno v:
International Journal of Solids and Structures
International Journal of Solids and Structures, 2021, 229, pp.111133. ⟨10.1016/j.ijsolstr.2021.111133⟩
International Journal of Solids and Structures, Elsevier, 2021, 229, pp.111133. ⟨10.1016/j.ijsolstr.2021.111133⟩
International Journal of Solids and Structures, 2021, 229, pp.111133. ⟨10.1016/j.ijsolstr.2021.111133⟩
International Journal of Solids and Structures, Elsevier, 2021, 229, pp.111133. ⟨10.1016/j.ijsolstr.2021.111133⟩
International audience; The present paper proposes a new Strain Energy Function (SEF) for incompressible transversely isotropic hyperelastic materials, i.e. materials with a single fiber family. This SEF combines polyconvex invariants forming an inte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ebeebd86e8aaa6a79638091c444f188
https://hal.science/hal-03294951
https://hal.science/hal-03294951
Publikováno v:
Journal of Computational Science. 64:101853
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f3485c2f2866dddac0419886b5110163
https://doi.org/10.1016/j.jocs.2022.101853
https://doi.org/10.1016/j.jocs.2022.101853