On the properties of qudits
arXiv:2405.13862 · doi:10.1140/epja/s10050-024-01347-x
Abstract
Motivated by the growing interest in the applications of quantum information science in astrophysical settings, especially for the neutrino transport in compact objects where three-flavors of neutrinos need to be mapped on qutrits, we review properties of one- and two-qudit systems. We contrast two-qubit and two-qudits systems by pointing out how some of the properties of two-qubit systems generalize to higher dimensions and explore emerging new properties for dimensions three or higher. One example is provided by the Werner states: when the density operator is written in the fundamental representation, we show that only two-qubit Werner states can be pure states, but not two-qudit Werner states when the qudit dimension is larger than two.
20 pages, 1 figure. Matches the version accepted for publication in EPJA
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- Exploring entanglement and spectral split correlations in three-flavor collective neutrino oscillations
- Local fermion-to-qudit mappings: a practical recipe for four-level systems
- Fractional shot noise of an SU(N) Kondo system
- Entanglement swapping for partially entangled qudits and the role of quantum complementarity