Role of quantum state texture in probing resource theories and quantum phase transition
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866918418485084160 |
|---|---|
| author | Patra, Ayan Konar, Tanoy Kanti Halder, Pritam De, Aditi Sen |
| author_facet | Patra, Ayan Konar, Tanoy Kanti Halder, Pritam De, Aditi Sen |
| contents | Building on the recently developed quantum state texture resource theory, we exhibit that the difference between maximum and minimum textures is a valid purity monotone in any dimension and provide a lower bound for existing purity measures. We introduce a texture-based resource monotone applicable across general convex resource theories, encompassing quantum coherence, non-stabilizerness, and entanglement. In particular, we propose the notion of non-local texture, which corresponds to the geometric measure of bipartite and multipartite entanglement in pure states. Furthermore, we demonstrate that the texture of the entire ground state or its subsystems can effectively signal quantum phase transitions in the Ising chain under both transverse and longitudinal magnetic fields, offering a powerful tool for characterizing quantum criticality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13862 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Role of quantum state texture in probing resource theories and quantum phase transition Patra, Ayan Konar, Tanoy Kanti Halder, Pritam De, Aditi Sen Quantum Physics Strongly Correlated Electrons Building on the recently developed quantum state texture resource theory, we exhibit that the difference between maximum and minimum textures is a valid purity monotone in any dimension and provide a lower bound for existing purity measures. We introduce a texture-based resource monotone applicable across general convex resource theories, encompassing quantum coherence, non-stabilizerness, and entanglement. In particular, we propose the notion of non-local texture, which corresponds to the geometric measure of bipartite and multipartite entanglement in pure states. Furthermore, we demonstrate that the texture of the entire ground state or its subsystems can effectively signal quantum phase transitions in the Ising chain under both transverse and longitudinal magnetic fields, offering a powerful tool for characterizing quantum criticality. |
| title | Role of quantum state texture in probing resource theories and quantum phase transition |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2507.13862 |