Signifying the nonlocality of NOON states using Einstein-Podolsky-Rosen steering inequalities
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2016
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| author | Teh, R. Y. Rosales-Zárate, L. Opanchuk, B. Reid, M. D. |
| author_facet | Teh, R. Y. Rosales-Zárate, L. Opanchuk, B. Reid, M. D. |
| contents | We construct Einstein-Podolsky-Rosen (EPR) steering signatures for the nonlocality of the entangled superposition state described by $\frac{1}{\sqrt{2}}\{|N\rangle|0\rangle+|0\rangle|N\rangle\}$, called the two-mode NOON state. The signatures are a violation of an EPR steering inequality based on an uncertainty relation. The violation confirms an EPR steering between the two modes and involves certification of an inter-mode correlation for number, as well as quadrature phase amplitude measurements. We also explain how the signatures certify an $N$th order quantum coherence, so the system (for larger $N$) can be signified to be in a superposition of states distinct by a mesoscopic value of the two-mode quantum number difference. Finally, we examine the limitations imposed for lossy scenarios, discussing how experimental realisations may be possible for $N=2,3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1605_00221 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Signifying the nonlocality of NOON states using Einstein-Podolsky-Rosen steering inequalities Teh, R. Y. Rosales-Zárate, L. Opanchuk, B. Reid, M. D. Quantum Physics We construct Einstein-Podolsky-Rosen (EPR) steering signatures for the nonlocality of the entangled superposition state described by $\frac{1}{\sqrt{2}}\{|N\rangle|0\rangle+|0\rangle|N\rangle\}$, called the two-mode NOON state. The signatures are a violation of an EPR steering inequality based on an uncertainty relation. The violation confirms an EPR steering between the two modes and involves certification of an inter-mode correlation for number, as well as quadrature phase amplitude measurements. We also explain how the signatures certify an $N$th order quantum coherence, so the system (for larger $N$) can be signified to be in a superposition of states distinct by a mesoscopic value of the two-mode quantum number difference. Finally, we examine the limitations imposed for lossy scenarios, discussing how experimental realisations may be possible for $N=2,3$. |
| title | Signifying the nonlocality of NOON states using Einstein-Podolsky-Rosen steering inequalities |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/1605.00221 |