Mixed State Entanglement Via the Cauchy-Schwarz Inequality
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_ | 1866911086909849600 |
|---|---|
| author | Jacobus, Nishaant Brumer, Paul Chuang, Chern |
| author_facet | Jacobus, Nishaant Brumer, Paul Chuang, Chern |
| contents | The entanglement properties of mixed states are of great importance in the study of open quantum systems and quantum information science, but commonly used entanglement measures, such as negativity, can be difficult to apply or connect to physical properties of the system. We introduce the Cauchy-Schwarz Violation (CSV) Condition, which has a simple dependence on the populations and coherences of the density operator. A sufficient condition for entanglement, it provides a more direct connection to the physical characteristics of the system such as its symmetries. We illustrate the often surprising insights gained from the CSV condition by applying it to the Jaynes-Cummings Model, the Quantum Rabi Model, and an open-system Quantum Rabi Model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_00334 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Mixed State Entanglement Via the Cauchy-Schwarz Inequality Jacobus, Nishaant Brumer, Paul Chuang, Chern Quantum Physics The entanglement properties of mixed states are of great importance in the study of open quantum systems and quantum information science, but commonly used entanglement measures, such as negativity, can be difficult to apply or connect to physical properties of the system. We introduce the Cauchy-Schwarz Violation (CSV) Condition, which has a simple dependence on the populations and coherences of the density operator. A sufficient condition for entanglement, it provides a more direct connection to the physical characteristics of the system such as its symmetries. We illustrate the often surprising insights gained from the CSV condition by applying it to the Jaynes-Cummings Model, the Quantum Rabi Model, and an open-system Quantum Rabi Model. |
| title | Mixed State Entanglement Via the Cauchy-Schwarz Inequality |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2508.00334 |