Scalable approach to generation of large symmetric Dicke states

Symmetric Dicke states represent a class of genuinely entangled multipartite states with superior resistance to loss and entanglement characteristics, even for low fidelity. A scalable and resource-intensive method is proposed using hybrid spatiotemporal encoding using only linear optics for generation of all symmetric Dicke states for both atomic and photonic qubits. Compared to purely spatial encoding, this method shows orders-of-magnitude improvement in success probability while also reducing the hardware complexity by a factor N for N qubits. This scheme will allow scalable entanglement generation of distant qubits.