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A minimal set of measurements for qudit-state tomography based on unambiguous discrimination

Authors
Ha, DonghoonKwon, Younghun
Issue Date
Sep-2018
Publisher
Kluwer Academic Publishers
Keywords
Quantum-state tomography; Unambiguous discrimination; Measurement
Citation
Quantum Information Processing, v.17, no.9, pp 1 - 19
Pages
19
Indexed
SCIE
SCOPUS
Journal Title
Quantum Information Processing
Volume
17
Number
9
Start Page
1
End Page
19
URI
https://scholarworks.bwise.kr/erica/handle/2021.sw.erica/5664
DOI
10.1007/s11128-018-1997-4
ISSN
1570-0755
1573-1332
Abstract
Quantum-state tomography (QST) is a fundamental task for reconstructing unknown quantum state from statistics of measurements. We propose a qudit-state tomography based on unambiguous discrimination (UD) of d linearly independent pure states. We then prove that our proposal for QST provides a minimal set of measurements. Our proposal can be used in any finite dimension, and our strategy can be realized by a projective measurement on a system combined with a d-dimensional auxiliary system. In addition, we present another method to improve previously known UD QST of pure quantum state.
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