An investigation of the Bell-type quantum nonlocality of spatially-entangled Fock states using homodyne detection

Kaushik Parasuram Seshadreesan, Christoph F. Wildfeuer, Moochan B. Kim, Hwang Lee, Jonathan P. Dowling · arXiv (Cornell University) · 2013

We investigate the quantum nonlocality of spatially-entangled two-mode Fock states of the form $(|m >_a|m' >_b+e^{i (m-m')\phi}|m' >_a|m >_b)/\sqrt{2}$, $m eq m'$, with respect to the Bell-Clauser-Horne and Bell-Clauser-Horne-Shimony-Holt inequalities, using two well-known homodyne-based techniques. For a given total photon number $m+m'=N$, such states corresponding to different values of $m$ and $m'$ differ in their phase sensitivities in interferometric phase estimation. We explore the connection between their quantum nonlocality with respect to the above Bell's inequalities and sensitivity of phase estimation.

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