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Journal Article

Separable Schmidt modes of a nonseparable state


Chekhova,  M.
Quantum Radiation, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;
Chekhova Research Group, Research Groups, Max Planck Institute for the Science of Light, Max Planck Society;
Optical Technologies, Technology Development and Service Units, Max Planck Institute for the Science of Light, Max Planck Society;

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Avella, A., Gramegna, M., Shurupov, A., Brida, G., Chekhova, M., & Genovese, M. (2014). Separable Schmidt modes of a nonseparable state. PHYSICAL REVIEW A, 89(2): 023808. doi:10.1103/PhysRevA.89.023808.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-6649-2
Two-photon states entangled in continuous variables such as wave vector or frequency represent a powerful resource for quantum-information protocols in higher-dimensional Hilbert spaces. At the same time, there is a problem of addressing separately the corresponding Schmidt modes. We propose a method of engineering two-photon spectral amplitude in such a way that it contains several nonoverlapping Schmidt modes, each of which can be filtered losslessly. The method is based on spontaneous parametric down-conversion (SPDC) pumped by radiation with a comblike spectrum. There are many ways of producing such a spectrum; here we consider the simplest one, namely, passing the pump beam through a Fabry-Perot interferometer. For the two-photon spectral amplitude (TPSA) to consist of nonoverlapping Schmidt modes, the crystal dispersion dependence, the length of the crystal, the Fabry-Perot free spectral range, and its finesse should satisfy certain conditions. We experimentally demonstrate the control of TPSA through these parameters. We also discuss a possibility to realize a similar situation using cavity-based SPDC.