We study quantum information properties of a seven-level system realized by a particle in an one-dimensional square-well trap. Features of encodings of seven-level systems in a form of three-qubit or qubit-qutrit systems are discussed. We use the three-qubit encoding of the system in order to investigate subadditivity and strong subadditivity conditions for the thermal state of the particle. The qubit-qutrit encoding is employed to suggest a single qudit algorithm for calculation of parity of a bit string. Obtained results indicate on the potential resource of multilevel systems for realization of quantum information processing.
@article{arxiv.1610.05576,
title = {Information processing using three-qubit and qubit-qutrit encodings of noncomposite quantum systems},
author = {A. A. Popov and E. O. Kiktenko and A. K. Fedorov and V. I. Man'ko},
journal= {arXiv preprint arXiv:1610.05576},
year = {2016}
}