Affiliation:
1. Universität Siegen
2. QSTAR
3. INO-CNR
4. LENS
5. University of the Basque Country UPV/EHU
6. Donostia International Physics Center (DIPC)
7. IKERBASQUE
8. HUN-REN
9. Wigner Research Centre for Physics
Abstract
The concept of randomized measurements on individual particles has proven to be useful for analyzing quantum systems and is central for methods like shadow tomography of quantum states. We introduce randomized measurements as a tool in quantum information processing. Our idea is to perform measurements of collective angular momentum on a quantum system and actively rotate the directions using simultaneous multilateral unitaries. Based on the moments of the resulting probability distribution, we propose systematic approaches to characterize quantum entanglement in a collective-reference-frame-independent manner. First, we show that existing spin-squeezing inequalities can be accessible in this scenario. Next, we present an entanglement criterion based on three-body correlations, going beyond spin-squeezing inequalities with two-body correlations. Finally, we apply our method to characterize entanglement between spatially separated two ensembles.
Published by the American Physical Society
2024
Funder
Deutscher Akademischer Austauschdienst
Deutsche Forschungsgemeinschaft
Chinesisch-Deutsche Zentrum für Wissenschaftsförderung
H2020 European Research Council
Bundesministerium für Bildung und Forschung
Hungarian Scientific Research Fund
Nemzeti Kutatási Fejlesztési és Innovációs Hivatal
Ministerio de Ciencia, Innovación y Universidades
Eusko Jaurlaritza
Ministerio de Ciencia e Innovación
Agencia Estatal de Investigación
European Regional Development Fund
Publisher
American Physical Society (APS)
Cited by
1 articles.
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