Diagrammatic approach to quantum search

Thomas G. Wong

doi:10.1007/s11128-015-0959-3

Diagrammatic approach to quantum search

Thomas G. Wong

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We introduce a simple diagrammatic approach for estimating how a randomly walking quantum particle searches on a graph in continuous time, which involves sketching small weighted graphs with self-loops and considering degenerate perturbation theory’s effects on them. Using this method, we give the first example of degenerate perturbation theory solving search on a graph whose evolution occurs in a subspace whose dimension grows with N.

Original language	English (US)
Pages (from-to)	1767-1775
Number of pages	9
Journal	Quantum Information Processing
Volume	14
Issue number	6
DOIs	https://doi.org/10.1007/s11128-015-0959-3
State	Published - Jun 30 2015
Externally published	Yes

All Science Journal Classification (ASJC) codes

Electronic, Optical and Magnetic Materials
Statistical and Nonlinear Physics
Theoretical Computer Science
Signal Processing
Modeling and Simulation
Electrical and Electronic Engineering

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AB - We introduce a simple diagrammatic approach for estimating how a randomly walking quantum particle searches on a graph in continuous time, which involves sketching small weighted graphs with self-loops and considering degenerate perturbation theory’s effects on them. Using this method, we give the first example of degenerate perturbation theory solving search on a graph whose evolution occurs in a subspace whose dimension grows with N.

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Diagrammatic approach to quantum search

Abstract

All Science Journal Classification (ASJC) codes

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