Operator Scaling: Theory and Applications
Sign Up to like & getrecommendations! Published in 2020 at "Foundations of Computational Mathematics"
DOI: 10.1007/s10208-019-09417-z
Abstract: In this paper, we present a deterministic polynomial time algorithm for testing whether a symbolic matrix in non-commuting variables over $${\mathbb {Q}}$$ Q is invertible or not. The analogous question for commuting variables is the… read more here.
Keywords: theory; polynomial time; commuting variables; analysis ... See more keywords
On the structure of isoclinism classes of the non-commuting graphs
Sign Up to like & getrecommendations! Published in 2018 at "Afrika Matematika"
DOI: 10.1007/s13370-018-0544-x
Abstract: In this paper, we introduce the new concept isoclinism of two non-commuting graphs. We describe it with this hope to determine the properties of the graph with large number of vertices and edges more easier… read more here.
Keywords: commuting graphs; isoclinism two; class; isoclinism ... See more keywords
The structure of doubly non-commuting isometries
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2020.107149
Abstract: Suppose that $n\geq 1$ and that, for all $i$ and $j$ with $1\leq i,j\leq n$ and $i\neq j$, $z_{ij}\in{\mathbb T}$ are given such that $z_{ji}=\overline{z}_{ij}$ for all $i\neq j$. If $V_1,\dotsc, V_n$ are isometries on… read more here.
Keywords: commuting isometries; non commuting; doubly non; dotsc ... See more keywords
Correlators in simultaneous measurement of non-commuting qubit observables
Sign Up to like & getrecommendations! Published in 2017 at "npj Quantum Information"
DOI: 10.1038/s41534-018-0091-1
Abstract: One of the hallmarks of quantum mechanics is the impossibility of simultaneous measurement of non-commuting observables with projective measurements. This, however, can be circumvented by using continuous quantum measurements. Here we investigate the temporal correlations… read more here.
Keywords: quantum; measurement; simultaneous measurement; qubit ... See more keywords
Eulerian properties of non-commuting and non-cyclic graphs of finite groups
Sign Up to like & getrecommendations! Published in 2018 at "Communications in Algebra"
DOI: 10.1080/00927872.2017.1392534
Abstract: ABSTRACT For a non-abelian group G, the non-commuting graph Γ(G) has G−Z(G) as its vertex set and two vertices x and y are connected by an edge if xy≠yx. For a non-cyclic group G, the… read more here.
Keywords: commuting non; groups eulerian; eulerian properties; properties non ... See more keywords
On the non-commuting graph in finite Moufang loops
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498818500706
Abstract: The non-commuting graph associated to a non-abelian group G, ΓG, is a graph with vertex set G∖Z(G) where distinct non-central elements x and y of G are joined by an edge if and only if… read more here.
Keywords: moufang loops; commuting graph; non abelian; non commuting ... See more keywords
Experimental realization of sequential weak measurements of non-commuting Pauli observables.
Sign Up to like & getrecommendations! Published in 2019 at "Optics express"
DOI: 10.1364/oe.27.006089
Abstract: Sequential weak measurements of non-commuting observables are not only fundamentally interesting in terms of quantum measurement but also show potential in various applications. Previously reported methods, however, can only make limited sequential weak measurements experimentally.… read more here.
Keywords: non commuting; pauli observables; measurements non; commuting pauli ... See more keywords
CBC Mode of MPF Based Shannon Cipher Defined Over a Non-Commuting Platform Group
Sign Up to like & getrecommendations! Published in 2022 at "Informatica"
DOI: 10.15388/22-infor499
Abstract: Commonly modern symmetric encryption schemes (e.g. AES) use rather simple actions repeated many times by defining several rounds to calculate the ciphertext. An idea we previously offered was to trade these multiple repeats for one… read more here.
Keywords: cipher; platform group; group; non commuting ... See more keywords
Certain Topological Indices of Non-Commuting Graphs for Finite Non-Abelian Groups
Sign Up to like & getrecommendations! Published in 2022 at "Molecules"
DOI: 10.3390/molecules27186053
Abstract: A topological index is a number derived from a molecular structure (i.e., a graph) that represents the fundamental structural characteristics of a suggested molecule. Various topological indices, including the atom-bond connectivity index, the geometric–arithmetic index,… read more here.
Keywords: index; graphs finite; commuting graphs; topological indices ... See more keywords