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Geometric Quantum Computation

Abstract:
We describe in detail a general strategy for implementing a conditional geometric phase between two spins. Combined with single-spin operations, this simple operation is a universal gate for quantum computation, in that any unitary transformation can be implemented with arbitrary precision using only single-spin operations and conditional phase shifts. Thus quantum geometrical phases can form the basis of any quantum computation. Moreover, as the induced conditional phase depends only on the geometry of the paths executed by the spins it is resilient to certain types of errors and offers the potential of a naturally fault-tolerant way of performing quantum computation.
Publication status:
Published

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Publisher copy:
10.1080/09500340008232177

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Atomic & Laser Physics
Role:
Author


Journal:
J. Mod. Opt. 47(14-15):2501-2513, 2000. More from this journal
Volume:
47
Issue:
14-15
Pages:
2501-2513
Publication date:
2000-04-04
Event title:
7th Meeting on Laser Phenomena
DOI:
ISSN:
0950-0340


Keywords:
Pubs id:
pubs:23499
UUID:
uuid:d14a53e4-ce1d-4aff-aa81-4056a70bc347
Local pid:
pubs:23499
Source identifiers:
23499
Deposit date:
2012-12-19

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