Optimal tracking for pairs of qubit states

Mendonca, Paulo E. M. F, Gilchrist, Alexei and Doherty, Andrew C. (2008) Optimal tracking for pairs of qubit states. Physical Review A, 78 1: 012319-1-012319-16. doi:10.1103/PhysRevA.78.012319

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Author Mendonca, Paulo E. M. F
Gilchrist, Alexei
Doherty, Andrew C.
Title Optimal tracking for pairs of qubit states
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
Publication date 2008-07-11
Sub-type Article (original research)
DOI 10.1103/PhysRevA.78.012319
Open Access Status File (Publisher version)
Volume 78
Issue 1
Start page 012319-1
End page 012319-16
Total pages 16
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2009
Language eng
Abstract In classical control theory, tracking refers to the ability to perform measurements and feedback on a classical system in order to enforce some desired dynamics. In this paper we investigate a simple version of quantum tracking, namely, we look at how to optimally transform the state of a single qubit into a given target state, when the system can be prepared in two different ways, and the target state depends on the choice of preparation. We propose a tracking strategy that is proved to be optimal for any input and target states. Applications in the context of state discrimination, state purification, state stabilization, and state-dependent quantum cloning are presented, where existing optimality results are recovered and extended.
Keyword Feedback
Matrix algebra
Measurement theory
Quantum computing
Quantum theory
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

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 4 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 3 times in Scopus Article | Citations
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Created: Mon, 23 Mar 2009, 11:40:38 EST by Jo Hughes on behalf of School of Mathematics & Physics