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arXiv · 1610.05576

Information processing using three-qubit and qubit-qutrit encodings of noncomposite quantum systems

A. A. Popov·E. O. Kiktenko·A. K. Fedorov·V. I. Man'ko
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Abstract

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.

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A. A. Popov, E. O. Kiktenko, A. K. Fedorov, V. I. Man'ko. 2016-12-01. Information processing using three-qubit and qubit-qutrit encodings of noncomposite quantum systems. https://doi.org/10.1007/s10946-016-9610-8

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