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

TL;DR

This paper explores how a seven-level quantum system can be encoded as three-qubit or qubit-qutrit systems, analyzing their information properties and proposing a new algorithm for parity calculation.

Contribution

It introduces encoding methods for seven-level systems into multi-qubit and qubit-qutrit formats and demonstrates their application in quantum information processing tasks.

Findings

Subadditivity and strong subadditivity conditions are analyzed for the thermal state.

A single qudit algorithm for parity calculation is proposed.

Multilevel systems show potential as resources for quantum information processing.

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.