Efficient and flexible generation of entangled qudits with cross phase modulation

In this paper, we provide a simple but powerful module to generate entangled qudits. This module assisted with cross-Kerr nonlinearity is available to the entangled qudits generation with arbitrary dimension, and it could work well even when the two independent qudits lose the same number of single photons. Moreover, with the cascade uses of modules, the deterministic generation but with nonidentical forms of entangled qudits is possible.