2011
DOI: 10.1038/nphys1996
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Experimental high-dimensional two-photon entanglement and violations of generalized Bell inequalities

Abstract: We propose a multidimensional quantum information encoding approach based on temporal modulation of single photons, where the Hilbert space can be spanned by an in-principle infinite set of orthonormal temporal profiles. We analyze two specific realizations of such modulation schemes, and show that error rate per symbol can be smaller than 1% for practical implementations. Temporal modulation may enable multidimensional quantum communication over the existing fiber optical infrastructure, as well as provide an… Show more

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Cited by 634 publications
(545 citation statements)
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“…If la0, such modes exhibit a vortex along the beam axis and show a ring-shaped intensity structure; consequently they are also called 'doughnut modes'. LG modes can be used to transmit more classical information [5][6][7][8][9] or realize a higher-dimensional quantum state 11,21,22 . To access the encoded information efficiently a MS was developed 18,19 , which consists of two freeform refractive optical elements that convert the OAM content of an incident light field to lateral positions of the output.…”
Section: Generation Of Oam Modes With a Ms In Reversementioning
confidence: 99%
“…If la0, such modes exhibit a vortex along the beam axis and show a ring-shaped intensity structure; consequently they are also called 'doughnut modes'. LG modes can be used to transmit more classical information [5][6][7][8][9] or realize a higher-dimensional quantum state 11,21,22 . To access the encoded information efficiently a MS was developed 18,19 , which consists of two freeform refractive optical elements that convert the OAM content of an incident light field to lateral positions of the output.…”
Section: Generation Of Oam Modes With a Ms In Reversementioning
confidence: 99%
“…An LG beam with azimuthal mode index ℓ carries an orbital angular momentum (OAM) of ℓ per photon [2,3]. One can, in principle, use the OAM modes of light to implement a higher dimensional state space for a single photon [4,5]. A pair of photons entangled in their OAM degree of freedom can be generated by spontaneous parametric down conversion (SPDC).…”
Section: Introductionmentioning
confidence: 99%
“…There, different multilevel degrees of freedom, such as spatial modes (13), time-energy (14), path (15,16), as well as continuous variables (17,18), have been used. Entanglement of spatial modes of photons has especially attracted much attention in recent years (19)(20)(21)(22)(23)(24)(25)(26)(27)(28), because it is readily available from optical nonlinear crystals and the number of involved modes of the entanglement can be very high (29).…”
mentioning
confidence: 99%