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Topological features of good resources for measurement-based quantum computation

Abstract:

We study how graph states on fractal lattices can be used to perform measurement-based quantum computation, and investigate which topological features allow this application. We find fractal lattices of arbitrary dimension greater than one that all act as good resources for measurement-based quantum computation, and sets of fractal lattices with dimension greater than one that do not. The difference is put down to other topological factors such as ramification and connectivity. This is in dir...

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Publication status:
Published

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Publisher copy:
10.1017/S0960129512000175

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Atomic & Laser Physics
Role:
Author
Journal:
MATHEMATICAL STRUCTURES IN COMPUTER SCIENCE More from this journal
Volume:
23
Issue:
2
Pages:
441-453
Publication date:
2013-04-01
DOI:
EISSN:
1469-8072
ISSN:
0960-1295
Language:
English
Pubs id:
pubs:395622
UUID:
uuid:28e8a1d6-5d23-4681-9e55-41875f095db6
Local pid:
pubs:395622
Source identifiers:
395622
Deposit date:
2013-11-17

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