Analyzing quantum entanglement with the Schmidt decomposition in operator space
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914958656143360 |
|---|---|
| author | Zhang, Chengjie Denker, Sophia Asadian, Ali Gühne, Otfried |
| author_facet | Zhang, Chengjie Denker, Sophia Asadian, Ali Gühne, Otfried |
| contents | Characterizing entanglement is central for quantum information science. Special observables which indicate entanglement, so-called entanglement witnesses, are a widely used tool for this task. The construction of these witnesses typically relies on the observation that quantum states with a high fidelity to some entangled target state are entangled, too. We introduce a general method to construct entanglement witnesses based on the Schmidt decomposition of observables. The method works for two- and, more importantly, many-body systems and is strictly stronger than fidelity-based constructions. The resulting witnesses can also be used to quantify entanglement as well as to characterize the dimensionality of it. Finally, we present experimentally relevant examples, where our approach improves entanglement detection significantly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_02447 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Analyzing quantum entanglement with the Schmidt decomposition in operator space Zhang, Chengjie Denker, Sophia Asadian, Ali Gühne, Otfried Quantum Physics Characterizing entanglement is central for quantum information science. Special observables which indicate entanglement, so-called entanglement witnesses, are a widely used tool for this task. The construction of these witnesses typically relies on the observation that quantum states with a high fidelity to some entangled target state are entangled, too. We introduce a general method to construct entanglement witnesses based on the Schmidt decomposition of observables. The method works for two- and, more importantly, many-body systems and is strictly stronger than fidelity-based constructions. The resulting witnesses can also be used to quantify entanglement as well as to characterize the dimensionality of it. Finally, we present experimentally relevant examples, where our approach improves entanglement detection significantly. |
| title | Analyzing quantum entanglement with the Schmidt decomposition in operator space |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2304.02447 |