Asymptotic equivalence of quantum state tomography and noisy matrix completion

DOI10.1214/13-AOS1156zbMath1294.62006arXiv1311.4976MaRDI QIDQ2438759

Yazhen Wang

Publication date: 6 March 2014

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.4976

zbMATH Keywords

observabledensity matrixsparse matrixquantum statisticsquantum probabilitycompressed sensingdeficiency distancequantum measurementPauli matricestrace regressionlow rank matrixfine scale trace regression

Mathematics Subject Classification ID

Theory of statistical experiments (62B15) Linear inference, regression (62J99) Applications of statistics to physics (62P35) Iterative numerical methods for linear systems (65F10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state estimation, approximate cloning (81P50)

Related Items (8)

Optimal large-scale quantum state tomography with Pauli measurements ⋮ Optimal sparse eigenspace and low-rank density matrix estimation for quantum systems ⋮ A rank-corrected procedure for matrix completion with fixed basis coefficients ⋮ Quantum tomography by regularized linear regressions ⋮ Quantum science and quantum technology ⋮ Pseudo-Bayesian quantum tomography with rank-adaptation ⋮ Quantum annealing with Markov chain Monte Carlo simulations and D-wave quantum computers ⋮ ROP: matrix recovery via rank-one projections

Uses Software

• PMA

Cites Work

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