Please use this identifier to cite or link to this item: http://hdl.handle.net/10497/17245
Title: Beyond Gisin’s theorem and its applications: Violation of local realism by two-party Einstein-Podolsky-Rosen steering
Authors: Chen, Jing-Ling
Su, Hong-Yi
Xu, Zhen-Peng
Wu, Yu-Chun
Wu, Chunfeng
Ye, Xiang-Jun
Zukowski, Marek
Kwek, Leong Chuan
Issue Date: 2015
Citation: Chen, J. L., Su, H. Y., Xu, Z. P., Wu, Y. C., Wu, C., Ye, X. J., ... & Kwek, L. C. (2015). Beyond Gisin’s theorem and its applications: Violation of local realism by two-party Einstein-Podolsky-Rosen steering. Scientific Reports, 5: 11624.
Abstract: We demonstrate here that for a given mixed multi-qubit state if there are at least two observers for whom mutual Einstein-Podolsky-Rosen steering is possible, i.e. each observer is able to steer the other qubits into two different pure states by spontaneous collapses due to von Neumann type measurements on his/her qubit, then nonexistence of local realistic models is fully equivalent
to quantum entanglement (this is not so without this condition). This result leads to an enhanced version of Gisin’s theorem (originally: all pure entangled states violate local realism). Local realism is violated by all mixed states with the above steering property. The new class of states allows one e.g. to perform three party secret sharing with just pairs of entangled qubits, instead of three
qubit entanglements (which are currently available with low fidelity). This significantly increases the feasibility of having high performance versions of such protocols. Finally, we discuss some possible applications.
URI: http://hdl.handle.net/10497/17245
ISSN: 2045-2322
Other Identifiers: 10.1038/srep11624
Website: http://dx.doi.org/10.1038/srep11624
Appears in Collections:Journal Articles

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