Fujiwara, Akio; Yamagata, Koichi Efficiency of estimators for locally asymptotically normal quantum statistical models. (English) Zbl 07732743 Ann. Stat. 51, No. 3, 1159-1182 (2023). MSC: 62F12 81P50 62A01 PDFBibTeX XMLCite \textit{A. Fujiwara} and \textit{K. Yamagata}, Ann. Stat. 51, No. 3, 1159--1182 (2023; Zbl 07732743) Full Text: DOI arXiv Link
Lahiry, Samriddha; Nussbaum, Michael Minimax nonparametric estimation of pure quantum states. (English) Zbl 1486.62086 Ann. Stat. 50, No. 1, 430-459 (2022). MSC: 62G05 62C20 62G20 62P35 81P50 PDFBibTeX XMLCite \textit{S. Lahiry} and \textit{M. Nussbaum}, Ann. Stat. 50, No. 1, 430--459 (2022; Zbl 1486.62086) Full Text: DOI
Chen, Wei-Kuo Phase transition in the spiked random tensor with Rademacher prior. (English) Zbl 1426.82022 Ann. Stat. 47, No. 5, 2734-2756 (2019). MSC: 82B26 82B44 60K35 82B27 82D30 81R40 PDFBibTeX XMLCite \textit{W.-K. Chen}, Ann. Stat. 47, No. 5, 2734--2756 (2019; Zbl 1426.82022) Full Text: DOI arXiv Euclid
Butucea, Cristina; Guţă, Mădălin; Nussbaum, Michael Local asymptotic equivalence of pure states ensembles and quantum Gaussian white noise. (English) Zbl 1456.62050 Ann. Stat. 46, No. 6B, 3676-3706 (2018). Reviewer: Jaromír Antoch (Praha) MSC: 62G05 62G10 62B15 81P50 62P35 PDFBibTeX XMLCite \textit{C. Butucea} et al., Ann. Stat. 46, No. 6B, 3676--3706 (2018; Zbl 1456.62050) Full Text: DOI arXiv Euclid
Lounici, Karim; Meziani, Katia; Peyré, Gabriel Adaptive sup-norm estimation of the Wigner function in noisy quantum homodyne tomography. (English) Zbl 1393.62136 Ann. Stat. 46, No. 3, 1318-1351 (2018). MSC: 62P35 81V80 62G07 PDFBibTeX XMLCite \textit{K. Lounici} et al., Ann. Stat. 46, No. 3, 1318--1351 (2018; Zbl 1393.62136) Full Text: DOI arXiv Euclid
Li, Ke Discriminating quantum states: the multiple Chernoff distance. (English) Zbl 1397.62611 Ann. Stat. 44, No. 4, 1661-1679 (2016). MSC: 62P35 62G10 81P45 PDFBibTeX XMLCite \textit{K. Li}, Ann. Stat. 44, No. 4, 1661--1679 (2016; Zbl 1397.62611) Full Text: DOI arXiv Euclid
Cai, Tony; Kim, Donggyu; Wang, Yazhen; Yuan, Ming; Zhou, Harrison H. Optimal large-scale quantum state tomography with Pauli measurements. (English) Zbl 1341.62116 Ann. Stat. 44, No. 2, 682-712 (2016). MSC: 62H12 81P50 62C20 62P35 81P45 81P68 PDFBibTeX XMLCite \textit{T. Cai} et al., Ann. Stat. 44, No. 2, 682--712 (2016; Zbl 1341.62116) Full Text: DOI arXiv Euclid
Wang, Yazhen Asymptotic equivalence of quantum state tomography and noisy matrix completion. (English) Zbl 1294.62006 Ann. Stat. 41, No. 5, 2462-2504 (2013). MSC: 62B15 62P35 62J99 65F10 65J20 81P45 81P50 PDFBibTeX XMLCite \textit{Y. Wang}, Ann. Stat. 41, No. 5, 2462--2504 (2013; Zbl 1294.62006) Full Text: DOI arXiv Euclid
Yamagata, Koichi; Fujiwara, Akio; Gill, Richard D. Quantum local asymptotic normality based on a new quantum likelihood ratio. (English) Zbl 1278.81050 Ann. Stat. 41, No. 4, 2197-2217 (2013). MSC: 81P50 62F12 PDFBibTeX XMLCite \textit{K. Yamagata} et al., Ann. Stat. 41, No. 4, 2197--2217 (2013; Zbl 1278.81050) Full Text: DOI arXiv Euclid
Nussbaum, Michael; Szkoła, Arleta An asymptotic error bound for testing multiple quantum hypotheses. (English) Zbl 1246.62226 Ann. Stat. 39, No. 6, 3211-3233 (2011). MSC: 62P35 81P99 PDFBibTeX XMLCite \textit{M. Nussbaum} and \textit{A. Szkoła}, Ann. Stat. 39, No. 6, 3211--3233 (2011; Zbl 1246.62226) Full Text: DOI arXiv Euclid
Koltchinskii, Vladimir Von Neumann entropy penalization and low-rank matrix estimation. (English) Zbl 1246.62138 Ann. Stat. 39, No. 6, 2936-2973 (2011). MSC: 62H12 62P35 60E15 81Q99 PDFBibTeX XMLCite \textit{V. Koltchinskii}, Ann. Stat. 39, No. 6, 2936--2973 (2011; Zbl 1246.62138) Full Text: DOI arXiv Euclid
Nussbaum, Michael; Szkoła, Arleta The Chernoff lower bound for symmetric quantum hypothesis testing. (English) Zbl 1162.62100 Ann. Stat. 37, No. 2, 1040-1057 (2009). MSC: 62P35 47N50 62F15 81S99 62G10 PDFBibTeX XMLCite \textit{M. Nussbaum} and \textit{A. Szkoła}, Ann. Stat. 37, No. 2, 1040--1057 (2009; Zbl 1162.62100) Full Text: DOI arXiv
Butucea, Cristina; Guţă, Mădălin; Artiles, Luis Minimax and adaptive estimation of the Wigner function in quantum homodyne tomography with noisy data. (English) Zbl 1117.62027 Ann. Stat. 35, No. 2, 465-494 (2007). MSC: 62F35 62G05 81V80 62G20 47N30 65C60 PDFBibTeX XMLCite \textit{C. Butucea} et al., Ann. Stat. 35, No. 2, 465--494 (2007; Zbl 1117.62027) Full Text: DOI arXiv
Helland, Inge S. Extended statistical modeling under symmetry; the link toward quantum mechanics. (English) Zbl 1091.62002 Ann. Stat. 34, No. 1, 43-77 (2006). MSC: 62A01 81P10 62P35 62B15 46N30 46N50 PDFBibTeX XMLCite \textit{I. S. Helland}, Ann. Stat. 34, No. 1, 43--77 (2006; Zbl 1091.62002) Full Text: DOI arXiv
Kargin, Vladislav On the Chernoff bound for efficiency of quantum hypothesis testing. (English) Zbl 1070.62117 Ann. Stat. 33, No. 2, 959-976 (2005). MSC: 62P35 81P15 62G10 PDFBibTeX XMLCite \textit{V. Kargin}, Ann. Stat. 33, No. 2, 959--976 (2005; Zbl 1070.62117) Full Text: DOI arXiv
Luati, Alessandra Maximum Fisher information in mixed state quantum systems. (English) Zbl 1045.62122 Ann. Stat. 32, No. 4, 1770-1779 (2004). MSC: 62P35 81P05 62B10 62F99 PDFBibTeX XMLCite \textit{A. Luati}, Ann. Stat. 32, No. 4, 1770--1779 (2004; Zbl 1045.62122) Full Text: DOI arXiv