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Degree Distribution in Quantum Walks on Complex Networks

Abstract:

In this theoretical study, we analyze quantum walks on complex networks, which model network-based processes ranging from quantum computing to biology and even sociology. Specifically, we analytically relate the average long time probability distribution for the location of a unitary quantum walker to that of a corresponding classical walker. The distribution of the classical walker is proportional to the distribution of degrees, which measures the connectivity of the network nodes and underl...

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Publisher copy:
10.1103/PhysRevX.3.041007

Authors


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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics
Biamonte, J More by this author
Migdał, P More by this author
Journal:
Phys. Rev. X
Volume:
3
Issue:
4
Pages:
041007
Publication date:
2013-05-27
DOI:
EISSN:
2160-3308
URN:
uuid:b4ef28bd-8bc1-4b71-babf-7377f21f0609
Source identifiers:
401121
Local pid:
pubs:401121

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