Hardy's paradox for high-dimensional systems
Hardy's proof is considered the simplest proof of nonlocality. Here we introduce an equally simple proof that (i) has Hardy's as a particular case, (ii) shows that the probability of nonlocal events grows with the dimension of the local systems, and (iii) is always equivalent to the violat...
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sg-ntu-dr.10356-800842020-09-26T21:55:15Z Hardy's paradox for high-dimensional systems Chen, Jing-Ling Cabello, Adán Xu, Zhen-Peng Su, Hong-Yi Wu, Chunfeng Kwek, L. C. National Institute of Education Institute of Advanced Studies DRNTU::Science::General::Education Hardy's proof is considered the simplest proof of nonlocality. Here we introduce an equally simple proof that (i) has Hardy's as a particular case, (ii) shows that the probability of nonlocal events grows with the dimension of the local systems, and (iii) is always equivalent to the violation of a tight Bell inequality. Our proof has all the features of Hardy's and adds the only ingredient of the Einstein-Podolsky-Rosen scenario missing in Hardy's proof: It applies to measurements with an arbitrarily large number of outcomes. NRF (Natl Research Foundation, S’pore) MOE (Min. of Education, S’pore) Published version 2014-02-06T01:24:26Z 2019-12-06T13:40:23Z 2014-02-06T01:24:26Z 2019-12-06T13:40:23Z 2013 2013 Journal Article Chen, J. L., Cabello, A., Xu, Z. P., Su, H. Y., Wu, C., & Kwek, L. C. (2013). Hardy's paradox for high-dimensional systems. Physical Review A, 88(6), 062116. https://hdl.handle.net/10356/80084 http://hdl.handle.net/10220/18762 10.1103/PhysRevA.88.062116 en Physical review A © 2013 American Physical Society. This paper was published in Physical Review A - Atomic, Molecular, and Optical Physics and is made available as an electronic reprint (preprint) with permission of American Physical Society. The paper can be found at the following official DOI: [http://dx.doi.org/10.1103/PhysRevA.88.062116]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. application/pdf |
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DRNTU::Science::General::Education Chen, Jing-Ling Cabello, Adán Xu, Zhen-Peng Su, Hong-Yi Wu, Chunfeng Kwek, L. C. Hardy's paradox for high-dimensional systems |
| description |
Hardy's proof is considered the simplest proof of nonlocality. Here we introduce an equally simple proof that (i) has Hardy's as a particular case, (ii) shows that the probability of nonlocal events grows with the dimension of the local systems, and (iii) is always equivalent to the violation of a tight Bell inequality. Our proof has all the features of Hardy's and adds the only ingredient of the Einstein-Podolsky-Rosen scenario missing in Hardy's proof: It applies to measurements with an arbitrarily large number of outcomes. |
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National Institute of Education |
| author_facet |
National Institute of Education Chen, Jing-Ling Cabello, Adán Xu, Zhen-Peng Su, Hong-Yi Wu, Chunfeng Kwek, L. C. |
| format |
Article |
| author |
Chen, Jing-Ling Cabello, Adán Xu, Zhen-Peng Su, Hong-Yi Wu, Chunfeng Kwek, L. C. |
| author_sort |
Chen, Jing-Ling |
| title |
Hardy's paradox for high-dimensional systems |
| title_short |
Hardy's paradox for high-dimensional systems |
| title_full |
Hardy's paradox for high-dimensional systems |
| title_fullStr |
Hardy's paradox for high-dimensional systems |
| title_full_unstemmed |
Hardy's paradox for high-dimensional systems |
| title_sort |
hardy's paradox for high-dimensional systems |
| publishDate |
2014 |
| url |
https://hdl.handle.net/10356/80084 http://hdl.handle.net/10220/18762 |
| _version_ |
1681057092991975424 |