Choice of measurement sets in qubit tomography

de Burgh, Mark D., Langford, Nathan K., Doherty, Andrew C. and Gilchrist, Alexei (2008) Choice of measurement sets in qubit tomography. Physical Review A, 78 5: 052122-1-052122-15. doi:10.1103/PhysRevA.78.052122

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Author de Burgh, Mark D.
Langford, Nathan K.
Doherty, Andrew C.
Gilchrist, Alexei
Title Choice of measurement sets in qubit tomography
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
1094-1622
Publication date 2008-11-26
Sub-type Article (original research)
DOI 10.1103/PhysRevA.78.052122
Open Access Status File (Publisher version)
Volume 78
Issue 5
Start page 052122-1
End page 052122-15
Total pages 15
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2009
Language eng
Abstract Optimal generalized measurements for state estimation are well understood. However, practical quantum state tomography is typically performed using a fixed set of projective measurements, and the question of how to choose these measurements has been largely unexplored in the literature. In this work, we develop theoretical asymptotic bounds for the average fidelity of pure qubit tomography using measurement sets whose axes correspond to faces of Platonic solids. We also present comprehensive simulations of maximum likelihood tomography for mixed qubit states using the Platonic solid measurements. We show that overcomplete measurement sets can be used to improve the accuracy of tomographic reconstructions.
Keyword Complete quantum measurements
Pure-state model
Distributions
Ensembles
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 47 times in Thomson Reuters Web of Science Article | Citations
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Created: Tue, 17 Mar 2009, 15:16:59 EST by Jo Hughes on behalf of School of Mathematics & Physics