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quant-ph2022★ 2 cited
Faster Stochastic First-Order Method for Maximum-Likelihood Quantum State Tomography
Chung-En Tsai, Hao-Chung Cheng, Yen-Huan Li
In maximum-likelihood quantum state tomography, both the sample size and dimension grow exponentially with the number of qubits. It is therefore desirable to develop a stochastic f…
quant-ph2021
Maximum-Likelihood Quantum State Tomography by Cover's Method with Non-Asymptotic Analysis
Chien-Ming Lin, Hao-Chung Cheng, Yen-Huan Li
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 ( (…