WebJun 22, 2024 · Quantum walks on graphs have shown prioritized benefits and applications in wide areas. In some scenarios, however, it may be more natural and accurate to mandate … Web3 DEUTSCHE PHYSIKALISCHE GESELLSCHAFT (Magniez et al [15]), finding subsets (Childs and Eisenberg [16]), and group commutativity testing (Magniez and Nayak [17]). Continuous-time quantum walks were introduced by Childs, Farhi and Gutmann [18, 19].They were used by Childs et al [20] to solve in polynomial time an oracle problem for which no polynomial …
[PDF] Regular Uniform Hypergraphs, $s$-Cycles, $s$-Paths and …
WebMay 27, 2011 · Other researchers treated hypergraphs as weighted graphs and then studied the Laplacians of the corresponding weighted graphs. In this paper, we aim to unify these very different versions of Laplacians for hypergraphs. We introduce a set of Laplacians for hypergraphs through studying high-ordered random walks on hypergraphs. Webgraphs. Quantum walk on cycles had been studied in the discrete-time setting [1, 5]. It is also known that the evolution of continuous-time quantum walk on cycles can be expressed as a summation involving Bessel functions (see [11, 4]). Still, it is unknown if a continuous-time quantum walk on cycles has the uniform mixing property. lighthouse keeper\u0027s daughter
Lab 1. Quantum Circuits - Qiskit
WebIntuitively, cutting a qubit wire can be thought of as classically passing information of a quantum state along each element in a basis set. As the number of cuts increase, the … Let HG = (V, E) denote a hypergraph, where V is the vertex set of the hypergraph and \(E\subset {2}^{V}\)\{{}} is the set of hyperedges. Let V = {v1, v2, …, vn } and E = {e1, e2, …, em }. where n = V is used to denote the number of vertices in the hypergraph and m = E the number of hyperedges. Given a hypergraph, define … See more In this section, we design quantum walks on regular uniform hypergraphs by means of Szegedy’s quantum walks. We first convert the hypergraph into its associated bipartite graph, which can be used to model the … See more RA is a reflection operator about the space HA . Similarly, RB is a reflection operator about the space HB . See more Any regular uniform hypergraph HGk,d can be represented usefully by a bipartite graph BGn,m: the vertices V and the edges E of the hypergraph … See more Hypergraph can be described by binary edge-node incidence matrix H with elements (1). To the incidence matrix of a regular uniform … See more WebIn mathematics, a hypergraph is a generalization of a graph in which an edge can join any number of vertices.In contrast, in an ordinary graph, an edge connects exactly two … peachy tee\u0027s