Zobrazeno 1 - 10
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pro vyhledávání: '"Tóth, Géza"'
Autor:
Tóth, Géza, Varga, Krisztina
Publikováno v:
Modern Geográfia, Vol 19, Iss 1, Pp 117-137 (2024)
This study jointly examines the social innovation potential and spatial competitiveness of Hungarian municipalities in terms of competitive advantage and competitive disadvantage. The primary focus of our study is on the link between the factors of s
Externí odkaz:
https://doaj.org/article/c127849906e442549c22ef0ef78364a8
How can we perform a metrological task if only limited control over a quantum system is given? Here, we present systematic methods for conducting nonlinear quantum metrology in scenarios lacking a common reference frame. Our approach involves prepari
Externí odkaz:
http://arxiv.org/abs/2410.10518
Autor:
Szalay, Szilárd, Tóth, Géza
We work out the general theory of one-parameter families of partial entanglement properties and the resulting entanglement depth-like quantities. Special cases of these are the depth of partitionability, the depth of producibility (or simply entangle
Externí odkaz:
http://arxiv.org/abs/2408.15350
We study how many comparability subgraphs are needed to partition the edge set of a perfect graph. We show that many classes of perfect graphs can be partitioned into (at most) two comparability subgraphs and this holds for almost all perfect graphs.
Externí odkaz:
http://arxiv.org/abs/2408.13523
Generalizing the well-known spin-squeezing inequalities, we study the relation between squeezing of collective $N$-particle $su(d)$ operators and many-body entanglement geometry in multi-particle systems. For that aim, we define the set of pseudo-sep
Externí odkaz:
http://arxiv.org/abs/2406.13338
In Euclidean Ramsey Theory usually we are looking for monochromatic configurations in the Euclidean space, whose points are colored with a fixed number of colors. In the canonical version, the number of colors is arbitrary, and we are looking for an
Externí odkaz:
http://arxiv.org/abs/2404.11454
Autor:
Führer, Jakob, Tóth, Géza
Conlon and Wu showed that there is a red/blue-coloring of $\mathbb{E}^n$ that does not contain $3$ red collinear points separated by unit distance and $m=10^{50}$ blue collinear points separated by unit distance. We prove that the statement holds wit
Externí odkaz:
http://arxiv.org/abs/2402.12567
We consider partitions of a point set into two parts, and the lengths of the minimum spanning trees of the original set and of the two parts. If $w(P)$ denotes the length of a minimum spanning tree of $P$, we show that every set $P$ of $n \geq 12$ po
Externí odkaz:
http://arxiv.org/abs/2312.09916
Autor:
Gehér, Panna, Tóth, Géza
A matchstick graph is a plane graph with edges drawn as unit distance line segments. This class of graphs was introduced by Harborth who conjectured that a matchstick graph on $n$ vertices can have at most $\lfloor 3n - \sqrt{12n - 3}\rfloor$ edges.
Externí odkaz:
http://arxiv.org/abs/2310.00940
Publikováno v:
Phys. Rev. Lett. 133, 060203 (2024)
The concept of randomized measurements on individual particles has proven to be useful for analyzing quantum systems and is central for methods like shadow tomography of quantum states. We introduce $\textit{collective}$ randomized measurements as a
Externí odkaz:
http://arxiv.org/abs/2309.10745