Multipartite entangled state of continuum variables generated by an optical network
Hong-Yi Fan, Song Tong-Qiang · Journal of Physics A Mathematical and General · 2003
We construct a kind of new multipartite entangled states of continuum variables, which are related to unitary group U ( n ). Using the technique of integral within an ordered product of operators we prove that such states make up a complete representation in multimode Fock space. The new state can be generated by an optical network whose operation on an incoming photon distributes the photon among the outputs according to the unitary group transform. The potential use of the new state in quantum teleportation is briefly discussed.