Ghosh, Roopayan;
Bose, Sougato;
(2024)
Separability criterion using one observable for special states: Entanglement detection via quantum quench.
Physical Review Research
, 6
(2)
, Article 023132. 10.1103/physrevresearch.6.023132.
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Abstract
Detecting entanglement in many-body quantum systems is crucial but challenging, typically requiring multiple measurements. Here, we establish a class of states where measuring connected correlations in just one basis gives a necessary condition to detect bipartite separability, thus offering a sufficient condition to detect entanglement, provided the appropriate basis and observables are chosen. This methodology leverages prior information about the state, which, although insufficient to reveal the complete state or its entanglement, enables our one basis approach to be effective. We discuss the possibility of one observable entanglement detection in a variety of systems, including those without conserved charges, such as the transverse Ising model, reaching the appropriate basis via quantum quench. This provides a much simpler pathway of detection than previous works. It also shows improved sensitivity from Pearson correlation detection techniques.
| Type: | Article |
|---|---|
| Title: | Separability criterion using one observable for special states: Entanglement detection via quantum quench |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/physrevresearch.6.023132 |
| Publisher version: | http://dx.doi.org/10.1103/physrevresearch.6.023132 |
| Language: | English |
| Additional information: | This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third-party material in this article are included in the Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10192052 |
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