The Pareto Frontiers of Magic and Entanglement: The Case of Two Qubits
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910073805078528 |
|---|---|
| author | Roman, Alexander Knipfer, Marco Neto, Jogi Suda Matchev, Konstantin T. Matcheva, Katia Gleyzer, Sergei |
| author_facet | Roman, Alexander Knipfer, Marco Neto, Jogi Suda Matchev, Konstantin T. Matcheva, Katia Gleyzer, Sergei |
| contents | Magic and entanglement are two measures that are widely used to characterize quantum resources. We study the interplay between magic and entanglement in two-qubit systems, focusing on the two extremes: maximal magic and minimal magic for a given level of entanglement. We quantify magic by the Rényi entropy of order 2, $M_2$, and entanglement by the concurrence $Δ$. We find that the Pareto frontier of maximal magic $M_2^{(max)}(Δ)$ is composed of three separate segments, while the boundary of minimal magic $M_2^{(min)}(Δ)$ is a single continuous line. We derive simple analytical formulas for all these four cases, and explicitly parametrize all distinct quantum states of maximal or minimal magic at a given level of entanglement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_24902 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Pareto Frontiers of Magic and Entanglement: The Case of Two Qubits Roman, Alexander Knipfer, Marco Neto, Jogi Suda Matchev, Konstantin T. Matcheva, Katia Gleyzer, Sergei Quantum Physics Emerging Technologies High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory Magic and entanglement are two measures that are widely used to characterize quantum resources. We study the interplay between magic and entanglement in two-qubit systems, focusing on the two extremes: maximal magic and minimal magic for a given level of entanglement. We quantify magic by the Rényi entropy of order 2, $M_2$, and entanglement by the concurrence $Δ$. We find that the Pareto frontier of maximal magic $M_2^{(max)}(Δ)$ is composed of three separate segments, while the boundary of minimal magic $M_2^{(min)}(Δ)$ is a single continuous line. We derive simple analytical formulas for all these four cases, and explicitly parametrize all distinct quantum states of maximal or minimal magic at a given level of entanglement. |
| title | The Pareto Frontiers of Magic and Entanglement: The Case of Two Qubits |
| topic | Quantum Physics Emerging Technologies High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.24902 |