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- W3203883449 abstract "We propose an iterative algorithm that computes the maximum-likelihood estimate in quantum state tomography. The optimization error of the algorithm converges to zero at an $O ( ( 1 / k ) log D )$ rate, where $k$ denotes the number of iterations and $D$ denotes the dimension of the quantum state. The per-iteration computational complexity of the algorithm is $O ( D ^ 3 + N D ^2 )$, where $N$ denotes the number of measurement outcomes. The algorithm can be considered as a parameter-free correction of the $R rho R$ method [A. I. Lvovsky. Iterative maximum-likelihood reconstruction in quantum homodyne tomography. textit{J. Opt. B: Quantum Semiclass. Opt.} 2004] [G. Molina-Terriza et al. Triggered qutrits for quantum communication protocols. textit{Phys. Rev. Lett.} 2004.]." @default.
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- W3203883449 date "2021-10-02" @default.
- W3203883449 modified "2023-10-17" @default.
- W3203883449 title "Maximum-Likelihood Quantum State Tomography by Cover's Method with Non-Asymptotic Analysis" @default.
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- W3203883449 doi "https://doi.org/10.48550/arxiv.2110.00747" @default.
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