We propose a protocol for generating photon-number entanglement through sequential parametric down-conversion processes. This protocol is fully compatible with linear optics experiments and can be easily implemented as an extension of the path-identity scheme. We present a detailed scheme for the creation of heralded two-mode photon-number high-dimensional entanglement with the form of $|00\rangle +|11\rangle +|22\rangle$. In addition, the protocol enables us to easily generate various photon-number-entangled states, which have potential applications in quantum communication, quantum precision measurements, and continuous-variable quantum information.

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• Photon pairs & parametric down-conversion
• Quantum engineering
• Quantum entanglement
• Quantum information processing
• Quantum protocols