Fast state tomography with optimal error bounds
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL(2020)
摘要
Projected least squares is an intuitive and numerically cheap technique for quantum state tomography: compute the least-squares estimator and project it onto the space of states. The main result of this paper equips this point estimator with rigorous, non-asymptotic convergence guarantees expressed in terms of the trace distance. The estimator's sample complexity is comparable to the strongest convergence guarantees available in the literature and-in the case of the uniform POVM-saturates fundamental lower bounds. Numerical simulations support these competitive features.
更多查看译文
关键词
quantum tomography,projected least squares estimator,low rank states,concentration bounds,optimal estimation
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要