2009
DOI: 10.1364/oe.17.008287
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Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces

Abstract: We observe entanglement between photons in controlled super-position states of orbital angular momentum (OAM). By drawing a direct analogy between OAM and polarization states of light, we demonstrate the entangled nature of high order OAM states generated by spontaneous downconversion through violation of a suitable Clauser Horne Shimony Holt (CHSH)-Bell inequality. We demonstrate this violation in a number of two-dimensional subspaces of the higher dimensional OAM Hilbert space.

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Cited by 176 publications
(158 citation statements)
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“…To investigate the measured degree of entanglement, we first performed a Bell-type inequality experiment on the reformed state with the obstruction located 45 mm from the crystal to test for quantum correlations. The superposition of OAM states, also known as sector states, for |c ¼ ±2S subspace were rotated on each SLM 35 and the corresponding coincidence count rates were recorded, shown in Fig. 6a.…”
Section: Resultsmentioning
confidence: 99%
“…To investigate the measured degree of entanglement, we first performed a Bell-type inequality experiment on the reformed state with the obstruction located 45 mm from the crystal to test for quantum correlations. The superposition of OAM states, also known as sector states, for |c ¼ ±2S subspace were rotated on each SLM 35 and the corresponding coincidence count rates were recorded, shown in Fig. 6a.…”
Section: Resultsmentioning
confidence: 99%
“…In a second step, we unambiguously determine the OAM mode purity by adding a grating to the phase pattern on the SLM. We then couple the modulated first diffraction order into a singlemode fibre, thereby filtering higher-order components 10,26 . By additionally changing the phase holograms on the SLM, we are able to measure the efficiency with which the expected mode is generated and thereby the modal overlap between this mode and its neighbouring modes (see Fig.…”
Section: Generation Of Oam Modes With a Ms In Reversementioning
confidence: 99%
“…In fact, this source also produces frequency entangled [245][246][247] and both linear [248,249] and orbital angular momentum entangled [250][251][252][253][254][255] photon pairs. In our case, we will use photon pairs produced by SPDC to propose a novel method to swap linear momentum entanglement into polarization entanglement by means of CR.…”
Section: Introductionmentioning
confidence: 99%