Hybrid entanglement caused by depletion of pump on output of spontaneous parametric down converter

We consider novel method for implementation of hybrid entanglement between the states in signal/idler and pumping modes or between the states from different vector spaces which are characterized by different displacement amplitudes on output from spontaneous parametric down converter (SPDC). The entanglement is caused by the depletion of the pump wave. In general, the entangled state is defined by two parameters: squeezing and coupling ones. The generated entanglement is mainly defined by the coupling parameter. We characterize it and show the limits of applicability of the depleted pump regime. The hybrid entanglement is tested by conditional generation of maximally entangled states of two qubits and qutrits. Possibilities to enhance the hybrid entanglement and, as consequence, success probabilities of the conditional generation are considered. The optical scheme for test is realizable in practice and can do without photon number resolving detection (PNRD).