Optimized state-independent entanglement detection based on a geometrical threshold criterion
Experimental procedures are presented for the rapid detection of entanglement of unknown arbitrary quantum states. The methods are based on the entanglement criterion using accessible correlations and the principle of correlation complementarity. Our first scheme essentially establishes the Schmidt...
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2014
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sg-ntu-dr.10356-1018362023-02-28T19:43:14Z Optimized state-independent entanglement detection based on a geometrical threshold criterion Laskowski, Wiesław Schwemmer, Christian Richart, Daniel Knips, Lukas Paterek, Tomasz Weinfurter, Harald School of Physical and Mathematical Sciences DRNTU::Science::Mathematics::Geometry Experimental procedures are presented for the rapid detection of entanglement of unknown arbitrary quantum states. The methods are based on the entanglement criterion using accessible correlations and the principle of correlation complementarity. Our first scheme essentially establishes the Schmidt decomposition for pure states, with few measurements only and without the need for shared reference frames. The second scheme employs a decision tree to speed up entanglement detection. We analyze the performance of the methods using numerical simulations and verify them experimentally for various states of two, three, and four qubits. NRF (Natl Research Foundation, S’pore) MOE (Min. of Education, S’pore) Published version 2014-02-04T07:50:07Z 2019-12-06T20:45:19Z 2014-02-04T07:50:07Z 2019-12-06T20:45:19Z 2013 2013 Journal Article Laskowski, W., Schwemmer, C., Richart, D., Knips, L., Paterek, T., & Weinfurter, H. (2013). Optimized state-independent entanglement detection based on a geometrical threshold criterion. Physical Review A, 88(2), 022327. https://hdl.handle.net/10356/101836 http://hdl.handle.net/10220/18757 10.1103/PhysRevA.88.022327 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.88.022327]. 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::Mathematics::Geometry Laskowski, Wiesław Schwemmer, Christian Richart, Daniel Knips, Lukas Paterek, Tomasz Weinfurter, Harald Optimized state-independent entanglement detection based on a geometrical threshold criterion |
| description |
Experimental procedures are presented for the rapid detection of entanglement of unknown arbitrary quantum states. The methods are based on the entanglement criterion using accessible correlations and the principle of correlation complementarity. Our first scheme essentially establishes the Schmidt decomposition for pure states, with few measurements only and without the need for shared reference frames. The second scheme employs a decision tree to speed up entanglement detection. We analyze the performance of the methods using numerical simulations and verify them experimentally for various states of two, three, and four qubits. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Laskowski, Wiesław Schwemmer, Christian Richart, Daniel Knips, Lukas Paterek, Tomasz Weinfurter, Harald |
| format |
Article |
| author |
Laskowski, Wiesław Schwemmer, Christian Richart, Daniel Knips, Lukas Paterek, Tomasz Weinfurter, Harald |
| author_sort |
Laskowski, Wiesław |
| title |
Optimized state-independent entanglement detection based on a geometrical threshold criterion |
| title_short |
Optimized state-independent entanglement detection based on a geometrical threshold criterion |
| title_full |
Optimized state-independent entanglement detection based on a geometrical threshold criterion |
| title_fullStr |
Optimized state-independent entanglement detection based on a geometrical threshold criterion |
| title_full_unstemmed |
Optimized state-independent entanglement detection based on a geometrical threshold criterion |
| title_sort |
optimized state-independent entanglement detection based on a geometrical threshold criterion |
| publishDate |
2014 |
| url |
https://hdl.handle.net/10356/101836 http://hdl.handle.net/10220/18757 |
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1759857336550162432 |