Quantum walk search on johnson graphs
WebDec 9, 2024 · Coined quantum walks on weighted graphs Thomas G Wong-A framework for optimal quantum spatial search using alternating phase-walks S Marsh and J B Wang-Accelerated quantum walk, two-particle entanglement generation and localization Shivani Singh, Radhakrishnan Balu, Raymond Laflamme et al.- Web2 days ago · Here we propose an alternative approach; we use a simple discrete-time quantum walk (DTQW) on a cycle graph to model an arbitrary unitary operation without …
Quantum walk search on johnson graphs
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WebKeywords: Discrete-time quantum walk, spatial quantum search, Johnson graph, coined model 1 Introduction Quantum walks (QWs) are the quantum counterpart of classical random walks. WebAug 27, 2024 · Thomas Wong (2016) showed that spatial search for a marked vertex by continuous-time quantumwalk on the Johnson graphs with diameter three is fast, achieving a quadratic speedup, and left the general case of fixed diameter at least four as an open problem. In this talk, we solve this problem. This talk is based on joint work with …
WebDec 22, 2024 · The lackadaisical quantum walk is a lazy version of a discrete-time, coined quantum walk, where each vertex has a weighted self-loop that permits the walker to stay put. They have been used to speed up spatial search on a variety of graphs, including periodic lattices, strongly regular graphs, Johnson graphs, and the hypercube. In these … WebThe Johnson graph J ( n, k) is defined by n symbols, where vertices are k-element subsets of the symbols, and vertices are adjacent if they differ in exactly one symbol. In particular, both J ( n, 1), the complete graph K n , and J ( n, 2), the strongly regular triangular graph T n , support fast quantum spatial search. Wong showed that …
WebWe study scattering quantum walks on highly symmetric graphs and use the walks to solve search problems on these graphs. The particle making the walk resides on the edges of the graph, and at each time step scatters at… WebThe Johnson graph $J(n,k)$ is defined by $n$ symbols, where vertices are $k$-element subsets of the symbols, and vertices are adjacent if they differ in exactly one ...
WebThe Johnson graph J (n, k) is defined by n symbols, where vertices are kelement subsets of the symbols, and vertices are adjacent if they differ in exactly one symbol. In particular, J … black lion whitchurch bristolWebMay 13, 2024 · Continuous-time quantum walks [1,2,3,4,5,6] are used for a variety of applications.In some situations, it is necessary to acquire the transition probability from one vertex to another in the associated graph, such as for coherent transport on complex networks [7,8,9,10] and graph isomorphism (GI) problems [11, 12].However, for the spatial … blacklion winter tamerWebmakes quantum walk algorithms faster than classical ones since we can design them in such a way that wrong answers quickly cancel out.[4]. There are two types of quantum walks: discrete-time quantum walks and continuous-time quantum walks. In this project, as we are dealing with graphs so we would explore discrete-time quantum walks which are ganzjahres camping tessinWebAbstract. This paper introduces a subset-sum algorithm with heuristic asymptotic cost exponent below 0.25. The new algorithm combines the 2010 Howgrave-Graham–Joux subset-sum algorithm with a new streamlined data structure for … ganzjahres campingplatz ostseeWebDec 7, 2024 · Spatial Search on Johnson Graphs by Discrete-Time Quantum Walk. The spatial search problem aims to find a marked vertex of a finite graph using a dynamic with two constraints: (1) The walker has no compass and (2) the walker can check whether a vertex is marked only after reaching it. This problem is a generalization of unsorted … ganzizhou rongda lithium mineWebSep 7, 2024 · It has been shown that a lackadaisical quantum walk can improve spatial search on the complete graph, discrete torus, cycle, and regular complete bipartite graph. In this paper, we observe that these are all vertex-transitive graphs, and when there is a unique marked vertex, the optimal weight of the self-loop equals the degree of the loopless graph … ganzizhou rongda lithiumWebMay 12, 2024 · Spatial search on graphs is one of the most important algorithmic applications of quantum walks. To show that a quantum-walk-based search is more efficient than a random-walk-based search is a ... blacklion winter tamer w507 review