Arbitrary entanglement of three qubits via linear optics

We present a linear-optical scheme for generating an arbitrary state of three qubits. It requires only three independent particles in the input and post-selection of the coincidence type at the output. The success probability of the protocol is equal for any desired state. Furthermore, the optical design remains insensitive to particle statistics (bosons, fermions or anyons). This approach builds upon the no-touching paradigm, which demonstrates the utility of particle indistinguishability as a resource of entanglement for practical applications.

Automated summary

The proposed linear-optical scheme generates an arbitrary state of three qubits using only three independent input particles and post-selection of the coincidence type at the output. The success probability is equal for any desired state, and the optical design remains insensitive to particle statistics.