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Quantum Simulation

Efficient quantum circuits for continuous-time quantum walks on composite graphs

arXiv

Authors: T. Loke, J. B. Wang

Year

2016

Paper ID

42799

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

In this paper, we investigate the simulation of continuous-time quantum walks on specific classes of graphs, for which it is possible to fast-forward the time-evolution operator to achieve constant-time simulation complexity and to perform the simulation exactly, while maintaining mbox{poly}\(mbox{log}(n\)) efficiency. In particular, we discuss two classes of composite graphs, commuting graphs and Cartesian product of graphs, that contain classes of graphs which can be simulated in this fashion. This allows us to identify new families of graphs that we can efficiently simulate in a quantum circuit framework, providing practical and explicit means to explore quantum-walk based algorithms in laboratories.

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In this paper, we investigate the simulation of continuous-time quantum walks on specific classes of graphs, for which it is possible to fast-forward the time-evolution...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1610.07107 [2] arXiv https://arxiv.org/abs/1610.07107 [3] Publisher https://arxiv.org/abs/1610.07107

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