Quantum teleportation on generic Hilbert spaces and in optics

Masashi Ban

Meiyu Wang, Fengli Yan

Julio R. Gea-Banacloche

G. Alber, A. Delgado, Nicolas Gisin +1 more

A generalization of the quantum XOR-gate is presented which operates in arbitrary dimensional Hilbert spaces. Together with one-particle Fourier transforms this gate is capable of performing a variety of tasks which are important for quantum information processing in arbitrary dimensional Hilbert spaces. Among these tasks are the preparation of Bell states, quantum teleportation and quantum state purification. A physical realization of this generalized XOR-gate is proposed which is based on non-linear optical elements.

Akira Furusawa, Timothy C. Ralph, Ping Koy Lam

Karl‐Heinz Fichtner, Wolfgang Freudenberg, Masanori Ohya

The success of quantum mechanics is due to the discovery that nature is described in infinite dimension Hilbert spaces, so that it is desirable to demonstrate the quantum teleportation process in a certain infinite dimensional Hilbert space. We describe the teleportation process in an infinite dimensional Hilbert space by giving simple examples.