A quantum state of a fermion entangled with the thermal environment is constructed by doubling the Fock space.The teleportation of the state entangled with the thermal environment is also discussed.
We present a general solution to the construction of such an entanglement in an N-dimensional Hilbert space that effects state teleportation. For N>2 the construction is nonunique and can be chosen to transfer the state to a preselected basis. We discuss possible applications to state preparation in various physical systems.
We discuss the teleportation of particles in an environment of an N-body system. In this case, we can change a many-body system into an arbitrary shape in space by teleporting some or all the constituent particles, and thus we call the quantum teleportation under this circumstance as quantum tele-transformation (QTT). The particular feature of QTT is that the wave function of the internal degrees of freedom remains the same, while the spatial wave function experiences a drastic change. The notion of QTT provides conceptual and pedagogical convenience for quantum information processing. In view of QTT, teleportation is the change of a single particle in space, while entanglement swapping is the change of one particle of an entangled pair.
We consider the teleportation of a field state, which is in a coherent superposition of 2n Fock states, from one cavity to another, and present an experimentally feasible scheme for this purpose.