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07 February 2025
 
  » arxiv » 1605.0221

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Signifying the nonlocality and mesoscopic quantum coherence of NOON states using Einstein-Podolsky-Rosen steering inequalities
R.Y. Teh ; L. Rosales-Zárate ; B. Opanchuk ; M. D. Reid ;
Date 1 May 2016
AbstractWe construct Einstein-Podolsky-Rosen (EPR) steering signatures for the nonlocality of the entangled "Schrodinger cat-type" superposition state described by $frac{1}{sqrt{2}}{|N angle|0 angle+|0 angle|N angle}$, often called the NOON state. The signatures are a violation of an EPR steering inequality based on an uncertainty relation. The violation confirms a generalised EPR paradox, or "EPR steering", between the two modes and involves certification of an inter-mode correlation for both number and quadrature phase amplitude observables. 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 "cat" superposition of mesoscopically distinct states. Realisation for larger $N>1$ would thus give evidence of mesoscopic EPR steering and entanglement. We include treatment of nonideal cases. Finally, we examine the limitations imposed for lossy scenarios, discussing how experimental realisations may be possible for $N=2,3$.
Source arXiv, 1605.0221
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