Time-optimal generation of cluster states

Author(s)
Fisher, Robert; Yuan, Haidong; Sporl, Andreas; Glaser, Steffen J.
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Abstract
The definition of a cluster state naturally suggests an implementation scheme: find a physical system with an Ising coupling topology identical to that of the target state and evolve freely for a time of 1/2J. Using the tools of optimal control theory, we address the question of whether or not this implementation is time-optimal. We present some examples where it is not and provide an explanation in terms of geodesics on the Bloch sphere.
Date issued
2009-04
URI
http://hdl.handle.net/1721.1/52405
Department
Massachusetts Institute of Technology. Department of Mathematics; Massachusetts Institute of Technology. Research Laboratory of Electronics
Journal
Physical Review A
Publisher
American Physical Society
Citation
Fisher, Robert et al. “Time-optimal generation of cluster states.” Physical Review A 79.4 (2009): 042304. © 2009 The American Physical Society
Version: Final published version
ISSN
1094-1622
1050-2947
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