Quantum control via geometry: an explicit example

Gu, Mile, Doherty, Andrew and Nielsen, Michael A. (2008) Quantum control via geometry: an explicit example. Physical Review A, 78 3: . doi:10.1103/PhysRevA.78.032327

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Author Gu, Mile
Doherty, Andrew
Nielsen, Michael A.
Title Quantum control via geometry: an explicit example
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
1094-1622
Publication date 2008-09
Sub-type Article (original research)
DOI 10.1103/PhysRevA.78.032327
Open Access Status File (Publisher version)
Volume 78
Issue 3
Total pages 5
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2009
Language eng
Formatted abstract
We explicitly compute the optimal cost for a class of example problems in geometric quantum control. These problems are defined by a Cartan decomposition of su(2n) into orthogonal subspaces [fraktur l] and [fraktur p] such that [[fraktur l],[fraktur l]][subset, equals][fraktur p],[[fraktur p],[fraktur l]]=[fraktur p],[[fraktur p],[fraktur p]][subset, equals][fraktur l]. Motion in the [fraktur l] direction is assumed to have negligible cost, where motion in the [fraktur p] direction does not. In the special case of two qubits, our results correspond to the minimal interaction cost of a given unitary.

Keyword Computation
Systems
Bounds
Spin
Q-Index Code C1
Q-Index Status Confirmed Code
Additional Notes Article #032327

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2009 Higher Education Research Data Collection
School of Mathematics and Physics
 
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Citation counts: TR Web of Science Citation Count  Cited 5 times in Thomson Reuters Web of Science Article | Citations
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Created: Fri, 13 Mar 2009, 15:59:01 EST by Jo Hughes on behalf of School of Mathematics & Physics