WebAug 26, 2024 · An improved claw finding algorithm using quantum walk; Article . Free Access. Share on. An improved claw finding algorithm using quantum walk. Author: Seiichiro Tani. Quantum Computation and Information Project, ERATO-SORST, JST and NTT Communication Science Laboratories, NTT Corporation ... WebWe use quantum walks to construct a new quantum algorithm for element distinctness and its generalization. For element distinctness (the problem of finding two equal items among N given items), we get an O(N 2/3) query quantum algorithm. This improves the previous O(N 3/4) quantum algorithm of Buhrman et al. [11] and matches the lower …
Low-Gate Quantum Golden Collision Finding SpringerLink
WebWe present two new quantum algorithms that either find a triangle (a copy of K 3) in an undirected graph G on n nodes, or reject if G is triangle free. The first algorithm uses combinatorial ideas with Grover Search and makes O ~ ( n 10 / 7) queries. The second algorithm uses O ~ ( n 13 / 10) queries and is based on a design concept of Ambainis ... WebClaw finding problem. The claw finding problem is a classical problem in complexity theory, with several applications in cryptography. In short, given two functions f, g, viewed as … crunch west babylon hours
Claw Finding Algorithms Using Quantum Walk
WebThe quantum walk search algorithm makes it possible to find a marked set of nodes in O(1 / √ϵ) steps, ϵ = M / N, where M is the number of marked nodes and N is the total number of nodes. This algorithm is originally used with Szegedy quantum walks, where we use two node registers to represent the quantum state. WebWe present several applications of quantum amplitude amplification for deciding whether all elements in the image of a given function are distinct, for finding an intersection of two sorted tables, and for finding a triangle in a graph. Our techniques generalize and improve those of Brassard, Hoyer, and Tapp [ACM SIGACT News, 28 (1997), pp. 14--19]. This … WebOther quantum algorithms based o of the quantum walk have been reported for other cases too, including the claw nding algorithm [25], related to cryptographic applications which goes as follows: given two functions f: X!Z and g: Y !Zpromised as an oracle, determine if a pair (x;y) 2X Y called a claw exists such that f(x) = g(y). crunch west babylon ny