Estimation of low rank density matrices: bounds in Schatten norms and other distances

DOI10.1214/16-EJS1192zbMath1403.62104arXiv1604.04600OpenAlexW2963930581MaRDI QIDQ315410

Dong Xia, Vladimir I. Koltchinskii

Publication date: 21 September 2016

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.04600

zbMATH Keywords

density matrixKullback-Leibler divergencevon Neumann entropyquantum state tomographylow rankSchatten \(p\)-normstrace regression model

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Measures of information, entropy (94A17) Quantum state estimation, approximate cloning (81P50)

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