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

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.

6 pages, 3 figures; published version

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Cited by in corpus (4)

• Molecular Spin Qudits for Quantum Algorithms
• Efficient realization of quantum algorithms with qudits
• Demonstration of a parity-time symmetry breaking phase transition using superconducting and trapped-ion qutrits
• Incoherent GRAPE (inGRAPE) for optimization of quantum systems with environmentally assisted control