Analytic formulae for non-local magic in bipartite systems of qutrits and ququints
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866915849612296192 |
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| author | Busoni, Giorgio Gargalionis, John Wallace, Ewan N. V. White, Martin J. |
| author_facet | Busoni, Giorgio Gargalionis, John Wallace, Ewan N. V. White, Martin J. |
| contents | We conjecture analytic expressions for the non-local magic of bipartite pure qudit states of prime local dimension. Our construction relies on the Schmidt-aligned state attaining the minimum over local unitaries, a hypothesis that we support with numerical evidence for pairs of qutrits and ququints. For composite local dimensions, we find that the analogous expressions do not in general reproduce the global minimum, but can still provide computationally cheap approximations to the non-local magic. We also find that relations between non-local magic and entanglement diagnostics that hold for two qubits generally do not extend to qutrit and higher-dimensional systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2603_09155 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Analytic formulae for non-local magic in bipartite systems of qutrits and ququints Busoni, Giorgio Gargalionis, John Wallace, Ewan N. V. White, Martin J. Quantum Physics High Energy Physics - Phenomenology High Energy Physics - Theory We conjecture analytic expressions for the non-local magic of bipartite pure qudit states of prime local dimension. Our construction relies on the Schmidt-aligned state attaining the minimum over local unitaries, a hypothesis that we support with numerical evidence for pairs of qutrits and ququints. For composite local dimensions, we find that the analogous expressions do not in general reproduce the global minimum, but can still provide computationally cheap approximations to the non-local magic. We also find that relations between non-local magic and entanglement diagnostics that hold for two qubits generally do not extend to qutrit and higher-dimensional systems. |
| title | Analytic formulae for non-local magic in bipartite systems of qutrits and ququints |
| topic | Quantum Physics High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.09155 |