Adaptive Compressive Tomography with No a priori Information

Quantum state tomography is both a crucial component in the field of quantum information and computation and a formidable task that requires an incogitable number of measurement configurations as the system dimension grows. We propose and experimentally carry out an intuitive adaptive compressive to...

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Bibliographic Details
Published in:Physical review letters 2019-03, Vol.122 (10), p.100404-100404, Article 100404
Main Authors: Ahn, D, Teo, Y S, Jeong, H, Bouchard, F, Hufnagel, F, Karimi, E, Koutný, D, Řeháček, J, Hradil, Z, Leuchs, G, Sánchez-Soto, L L
Format: Article
Language:English
Subjects:
Adaptive systems
Configurations
Quantum computing
Quantum phenomena
Quantum theory
Signal reconstruction
Tomography
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Summary:Quantum state tomography is both a crucial component in the field of quantum information and computation and a formidable task that requires an incogitable number of measurement configurations as the system dimension grows. We propose and experimentally carry out an intuitive adaptive compressive tomography scheme, inspired by the traditional compressed-sensing protocol in signal recovery, that tremendously reduces the number of configurations needed to uniquely reconstruct any given quantum state without any additional a priori assumption whatsoever (such as rank information, purity, etc.) about the state, apart from its dimension.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.122.100404