QUANTUM WALKS ON GENERAL GRAPHS

Author:

KENDON VIV1

Affiliation:

1. Optics Section, Blackett Laboratory, Imperial College, London, SW7 2BW, UK

Abstract

Quantum walks, both discrete (coined) and continuous time, on a general graph of N vertices with undirected edges are reviewed in some detail. The resource requirements for implementing a quantum walk as a program on a quantum computer are compared and found to be very similar for both discrete and continuous time walks. The role of the oracle, and how it changes if more prior information about the graph is available, is also discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Cited by 66 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Discrete-Time Quantum Walk on Multilayer Networks;Entropy;2023-11-30

2. Quantum state transfer between twins in weighted graphs;Journal of Algebraic Combinatorics;2023-10-03

3. Experimentally implementing the step-dependent discrete-time quantum walk on quantum computers;Canadian Journal of Physics;2023-04-01

4. Pretty good state transfer in discrete-time quantum walks;Journal of Physics A: Mathematical and Theoretical;2023-03-31

5. Discrete Quantum Walks on Graphs and Digraphs;LOND MATH S;2023-01-12

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