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Quantum Ensemble Classification: A Sampling-Based Learning Control Approach

delete2017-06-01
delete24
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OA
AI
C
Chunlin Chen
D
Daoyi Dong *
B
Bo Qi
I
Ian R. Petersen
H
Herschel Rabitz
DOI:10.1109/TNNLS.2016.2540719delete
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Abstract

Abstract

En 中文
Quantum ensemble classification (QEC) has significant applications in discrimination of atoms (or molecules), separation of isotopes, and quantum information extraction. However, quantum mechanics forbids deterministic discrimination among nonorthogonal states. The classification of inhomogeneous quantum ensembles is very challenging, since there exist variations in the parameters characterizing the members within different classes. In this paper, we recast QEC as a supervised quantum learning problem. A systematic classification methodology is presented by using a sampling-based learning control (SLC) approach for quantum discrimination. The classification task is accomplished via simultaneously steering members belonging to different classes to their corresponding target states (e.g., mutually orthogonal states). First, a new discrimination method is proposed for two similar quantum systems. Then, an SLC method is presented for QEC. Numerical results demonstrate the effectiveness of the proposed approach for the binary classification of two-level quantum ensembles and the multiclass classification of multilevel quantum ensembles.
Keywords:
Inhomogeneous ensembles
quantum discrimination
quantum ensemble classification (QEC)
sampling-based learning control (SLC)
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Journal

IEEE Transactions on Neural Networks and Learning Systems cover
IEEE Transactions on Neural Networks and Learning Systems
IF:
8.9
Papers:
7.6K
Citations:
7.2W

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P
Princeton University
Scholars:
2.1W
Papers: 2.3W
Citations: 5.1W
N
nanjing university
Scholars:
7.8W
Papers: 5.6W
Citations: 87
C
chinese academy of sciences
Scholars:
56.7W
Papers: 45.0W
Citations: 704
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Cited Papers

Cited Papers

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errNadia Bianco; Angela Calia; Giampiero Denotarpietro; Piero Negro
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Exploring the capabilities of quantum optimal dynamic discrimination
err2009-04-27
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errBeltrani, Vincent; Ghosh, Pritha; Rabitz, Herschel
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Resolution of strongly competitive product channels with optimal dynamic discrimination: Application to flavins
err2011-01-21
err23
PREAI
errRoslund, Jonathan; Roth, Matthias; Guyon, Laurent; Boutou, Veronique; Courvoisier, Francois; Wolf, Jean-Pierre; Rabitz, Herschel
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