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Long-distance quantum communication relies on storing and retrieving photonicqubits in orthogonal field modes. The available degrees of freedom for photonsare polarization, spatial-mode profile, and temporal/spectral profile. To date,methods exist for decomposing, manipulating, and analyzing photons intoorthogonal polarization modes and spatial modes. Here we propose andtheoretically verify the first highly efficient method to carry out analogousoperations for temporally and spectrally overlapping, but field-orthogonal,temporal modes. The method relies on cascaded nonlinear-optical quantumfrequency conversion.

Efficient sorting of quantum-optical wave packets by temporal-mode interferometry