On superqubits
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914905907527680 |
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| author | Duplij, Steven Vogl, Raimund |
| author_facet | Duplij, Steven Vogl, Raimund |
| contents | We first reconsider the mathematical background of superqubit theory and describe important peculiarities of superspaces and supermatrices which are usually out of attention. Then we study states in super Hilbert spaces using super-bra/super-ket formalism in details. The qubit (qudit) and superqubit (superqudit) are defined as linear spans in the corresponding Hilbert subspaces. A new kind of superqubit carring the odd parity is introduced. The multi-superqubit states are studied, and the superconcurrence which distinguishes separable states is proposed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_09635 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On superqubits Duplij, Steven Vogl, Raimund Quantum Physics Information Theory High Energy Physics - Theory Mathematical Physics 17A40, 17A42, 20N10, 20N15, 58A50, 81P40, 81P45, 81P68 We first reconsider the mathematical background of superqubit theory and describe important peculiarities of superspaces and supermatrices which are usually out of attention. Then we study states in super Hilbert spaces using super-bra/super-ket formalism in details. The qubit (qudit) and superqubit (superqudit) are defined as linear spans in the corresponding Hilbert subspaces. A new kind of superqubit carring the odd parity is introduced. The multi-superqubit states are studied, and the superconcurrence which distinguishes separable states is proposed. |
| title | On superqubits |
| topic | Quantum Physics Information Theory High Energy Physics - Theory Mathematical Physics 17A40, 17A42, 20N10, 20N15, 58A50, 81P40, 81P45, 81P68 |
| url | https://arxiv.org/abs/2310.09635 |