Estimation of pure states using three measurement bases
Abstract
We introduce a new method to estimate unknown pure -dimensional quantum states using the probability distributions associated with only three measurement bases. Measurement results of projectors are employed to generate a set of possible states, the likelihood of which is evaluated using the measurement results of the remaining projectors. The state with the highest likelihood is the estimate of the unknown state. The method estimates all pure states but a null-measure set. The viability of the protocol is experimentally demonstrated using two different and complementary high-dimensional quantum information platforms. First, by exploring the photonic path-encoding strategy, we validate the method on a single 8-dimensional quantum system. Then, we resort to the five superconducting qubit IBM quantum processor to demonstrate the high performance of the method in the multipartite scenario.
Cite
@article{arxiv.2006.03219,
title = {Estimation of pure states using three measurement bases},
author = {L. Zambrano and L. Pereira and D. Martínez and G. Cañas and G. Lima and A. Delgado},
journal= {arXiv preprint arXiv:2006.03219},
year = {2020}
}