Witnessing Short- and Long-Range Nonstabilizerness via the Information Lattice
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918179389833216 |
|---|---|
| author | Bilinskaya, Yuliya Martínez, Miguel F. Ghosh, Soumi Kvorning, Thomas Klein Artiaco, Claudia Bardarson, Jens H. |
| author_facet | Bilinskaya, Yuliya Martínez, Miguel F. Ghosh, Soumi Kvorning, Thomas Klein Artiaco, Claudia Bardarson, Jens H. |
| contents | We study nonstabilizerness on the information lattice, and demonstrate that noninteger local information directly indicates nonstabilizerness. For states with a clear separation of short- and large-scale information, noninteger total information at large scales $Γ$ serves as a witness of long-range nonstabilizerness. We propose a folding procedure to separate the global and edge-to-edge contributions to $Γ$. As an example we show that the ferromagnetic ground state of the spin-1/2 three-state Potts model has long-range nonstabilizerness originating from global correlations, while the paramagnetic ground state has at most short-range nonstabilizerness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26696 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Witnessing Short- and Long-Range Nonstabilizerness via the Information Lattice Bilinskaya, Yuliya Martínez, Miguel F. Ghosh, Soumi Kvorning, Thomas Klein Artiaco, Claudia Bardarson, Jens H. Quantum Physics Statistical Mechanics Strongly Correlated Electrons We study nonstabilizerness on the information lattice, and demonstrate that noninteger local information directly indicates nonstabilizerness. For states with a clear separation of short- and large-scale information, noninteger total information at large scales $Γ$ serves as a witness of long-range nonstabilizerness. We propose a folding procedure to separate the global and edge-to-edge contributions to $Γ$. As an example we show that the ferromagnetic ground state of the spin-1/2 three-state Potts model has long-range nonstabilizerness originating from global correlations, while the paramagnetic ground state has at most short-range nonstabilizerness. |
| title | Witnessing Short- and Long-Range Nonstabilizerness via the Information Lattice |
| topic | Quantum Physics Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2510.26696 |