On the properties of qudits

• URL: http://arxiv.org/abs/2405.13862v1
• Date: Wed, 22 May 2024 17:41:28 GMT
• Title: On the properties of qudits
• Authors: A. B. Balantekin, Anna M. Suliga,
• Abstract summary: 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. 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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