Guesswork of a quantum ensemble
Quantum Physics
2022-04-25 v2
Abstract
The guesswork of a quantum ensemble quantifies the minimum number of guesses needed in average to correctly guess the state of the ensemble, when only one state can be queried at a time. Here, we derive analytical solutions of the guesswork problem subject to a finite set of conditions, including the analytical solution for any qubit ensemble with uniform probability distribution. As explicit examples, we compute the guesswork for any qubit regular polygonal and polyhedral ensemble.
Cite
@article{arxiv.2012.09350,
title = {Guesswork of a quantum ensemble},
author = {Michele Dall'Arno and Francesco Buscemi and Takeshi Koshiba},
journal= {arXiv preprint arXiv:2012.09350},
year = {2022}
}
Comments
5 pages, 2 figure