The DOI matches its Crossref record; 107 of the 107 references it cites were found in a registry or an index.
Quantum steering: a review with focus on semidefinite programming
Open accessAbstract
Quantum steering refers to the non-classical correlations that can be observed between the outcomes of measurements applied on half of an entangled state and the resulting post-measured states that are left with the other party. From an operational point of view, a steering test can be seen as an entanglement test where one of the parties performs uncharacterised measurements. Thus, quantum steering is a form of quantum inseparability that lies in between the well-known notions of Bell nonlocality and entanglement. Moreover, quantum steering is also related to several asymmetric quantum information protocols where some of the parties are considered untrusted. Because of these facts, quantum steering has received a lot of attention both theoretically and experimentally. The main goal of this review is to give an overview of how to characterise quantum steering through semidefinite programming. This characterisation provides efficient numerical methods to address a number of problems, including steering detection, quantification, and applications. We also give a brief overview of some important results that are not directly related to semidefinite programming. Finally, we make available a collection of semidefinite programming codes that can be used to study the topics discussed in this article.
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Cites
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Cited by
Multidimensional quantum entanglement with large-scale integrated optics
Wang, J., Paesani, S., Ding, Y., Santagati, R., Skrzypczyk, P., Salavrakos, A., Tura, J., Augusiak, R., Mančinska, L., Bacco, D., et al. (2018) · Science · doi:10.1126/science.aar7053 · Cited by 816
Self-citationSelf-testing of quantum systems: a review
Šupić, I., & Bowles, J. (2020) · Quantum · doi:10.22331/q-2020-09-30-337 · Cited by 365
Jiráková, K., Černoch, A., Lemr, K., Bartkiewicz, K., & Miranowicz, A. (2021) · Physical Review A · doi:10.1103/physreva.104.062436 · Cited by 24
Experimental hierarchy of two-qubit quantum correlations without state tomography
Abo, S., Soubusta, J., Jiráková, K., Bartkiewicz, K., Černoch, A., Lemr, K., & Miranowicz, A. (2023) · Scientific Reports · doi:10.1038/s41598-023-35015-9 · Cited by 17
“(3), change under qubit swapping, but still can be transformed into a swapping-invariant ρ′ GW(p, q) by local unitary operations.”
Background
Metadata
- Authors
- Cavalcanti, D., & Skrzypczyk, P.
- Venue
- Reports on Progress in Physics
- Publisher
- IOP Publishing
- Published
- 2016-12-23
- Volume
- 80
- Issue
- 2
- Pages
- 024001
- ISSN
- 0034-4885 (ISSN-L)
- 1361-6633
- OpenAlex
- W2337508203
- Cited by
- 454
- References
- 107
- FWCI
- 36.52
- Type
- journal article
- Language
- en
- Open access
- green
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