On the properties of qudits
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909221534040064 |
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| author | Balantekin, A. B. Suliga, Anna M. |
| author_facet | Balantekin, A. B. Suliga, Anna M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13862 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the properties of qudits Balantekin, A. B. Suliga, Anna M. Quantum Physics High Energy Physics - Phenomenology Nuclear Theory 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. |
| title | On the properties of qudits |
| topic | Quantum Physics High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2405.13862 |