Tunable spatial–spectral phase compensation of type-I (ooe) hyperentangled photons

Hegazy, Salem F.; Obayya, S. S. A.

doi:10.1364/josab.32.000445

Cited by 17 publications

(22 citation statements)

References 24 publications

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“…Not only but they also double the phase accumulated by one of the two-photon to obtain the relative-phase of the two-photon state which was then verified invalid 18 in their case…”

Section: Introductionmentioning

confidence: 89%

“…It is straightforward to parameterize the two-crystal emission in the 2D angular space ( ) by adopting the vectorial analysis instead of the conventional scalar analysis in the case of 1D space 18 . We represent the optic-axes of the 1 st and 2 nd crystals as the unit vectors…”

Section: Normal Pump-beam Incidencementioning

confidence: 99%

“…Another vital advantage emerges because the quantum logic between qubits in different degrees of freedom of one photon is relatively easy when compared to qubits based in different photons 8,9 . The noncollinear spontaneous parametric down conversion (SPDC) emission of two coherentlypumped, crossed, and adjacent nonlinear crystals has been widely used to generate hyperentangled photons [10][11][12][13][14][15][16][17][18] . There have been several attempts [11][12][13][14][15][16][17][18] to idealize the output of the two-crystal source by erasing the which-crystal information, e.g., enhancing the temporal overlap of the down-converted photons 11 , and by flattening the angle-dependent relativephase 12 .…”

Section: Introductionmentioning

confidence: 99%

“…Recently, we determined the exact relative-phase as a function of frequency and angle of emission, taking into consideration the finite spectral width of the pump beam 18 . To illustrate the spatial-spectral phase map in this case, we first considered that the pump beam is monochromatic plane wave and the SPDC light emission is in directions not restricted to the perfect phase matching condition.…”

Section: Introductionmentioning

confidence: 99%

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Relative-phase and time-delay maps all over the emission cone of hyperentangled photon source

et al. 2017

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High flux of hyperentangled photons entails collecting the two-photon emission over relatively wide extent in frequency and transverse space within which the photon pairs are simultaneously entangled in multiple degrees of freedom. In this paper, we present a numerical approach to determining the spatial-spectral relative-phase and time-delay maps of hyperentangled photons all over the spontaneous parametric down conversion (SPDC) emission cone. We consider the hyperentangled-photons produced by superimposing noncollinear SPDC emissions of two crossed and coherentlypumped nonlinear crystals. We adopt a vectorial representation for all parameters of concern. This enables us to study special settings such as the self-compensation via oblique pump incidence. While rigorous quantum treatment of SPDC emission requires Gaussian state representation, in low-gain regime (like the case of the study), it is well approximated to the first order to superposition of vacuum and two-photon states. The relative phase and time-delay maps are then calculated between the two-photon wavepackets created along symmetrical locations of the crystals. Assuming monochromatic plane-wave pump field, the mutual signal-idler relations like energy conservation and transversemomentum conservation define well one of the two-photon with reference to its conjugate. The weaker conservation of longitudinal momentum (due to relatively thin crystals) allows two-photon emission directions coplanar with the pump beam while spreading around the perfect phase-matching direction. While prior works often adopt first-order approximation, it is shown that the relative-phase map is a very well approximated to a quadratic function in the polar angle of the two-photon emission while negligibly varying with the azimuthal angle.

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“…Not only but they also double the phase accumulated by one of the two-photon to obtain the relative-phase of the two-photon state which was then verified invalid 18 in their case…”

Section: Introductionmentioning

confidence: 89%

Section: Normal Pump-beam Incidencementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Relative-phase and time-delay maps all over the emission cone of hyperentangled photon source

et al. 2017

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show abstract

Section: Introductionmentioning

confidence: 99%

Accurate relative-phase and time-delay maps all over the emission cone of hyperentangled photon source

et al. 2016

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High flux of hyperentangled photons entails collecting the two-photon emission over relatively wide extent in frequency and transverse space within which the photon pairs are simultaneously entangled in multiple degrees of freedom. In this paper, we present a numerical approach to determining the spatial-spectral relative-phase and time-delay maps of hyperentangled photons all over the spontaneous parametric down conversion (SPDC) emission cone. We consider the hyperentangled-photons produced by superimposing noncollinear SPDC emissions of two crossed and coherently-pumped nonlinear crystals. We adopt a vectorial representation for all parameters of concern. This enables us to study special settings such as the self-compensation via oblique pump incidence. While rigorous quantum treatment of SPDC emission requires Gaussian state representation, in low-gain regime (like the case of the study), it is well approximated to the first order to superposition of vacuum and two-photon states. The relative phase and time-delay maps are then calculated between the two-photon wavepackets created along symmetrical locations of the crystals. Assuming monochromatic plane-wave pump field, the mutual signal-idler relations like energy conservation and transverse-momentum conservation define well one of the two-photon with reference to its conjugate. The weaker conservation of longitudinal momentum (due to relatively thin crystals) allows two-photon emission directions coplanar with the pump beam while spreading around the perfect phase-matching direction. While prior works often adopt first-order approximation, it is shown that the relative-phase map is a very well approximated to a quadratic function in the polar angle of the two-photon emission while negligibly varying with the azimuthal angle.

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Rapid solution of logical equivalence problems by quantum computation algorithm

Zidan

Hegazy

Abdel‐Aty

et al. 2023

Applied Soft Computing

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Tunable spatial–spectral phase compensation of type-I (ooe) hyperentangled photons

Cited by 17 publications

References 24 publications

Relative-phase and time-delay maps all over the emission cone of hyperentangled photon source

Relative-phase and time-delay maps all over the emission cone of hyperentangled photon source

Accurate relative-phase and time-delay maps all over the emission cone of hyperentangled photon source

Rapid solution of logical equivalence problems by quantum computation algorithm

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