Measurement-Based Teleportation along Quantum Spin Chains

J. P. Barjaktarevic, R. H. McKenzie, J. Links, G. J. Milburn
2005 Physical Review Letters  
We consider teleportation of an arbitrary spin-1/2 target quantum state along the ground state of a quantum spin chain. We present a decomposition of the Hilbert space of the many body quantum state into 4 vector spaces. Within each of these subspaces, it is possible to take any superposition of states, and use projective measurements to perform unit fidelity teleportation. Any such superposition is necessarily a spin liquid state. We also show that all total spin-0 quantum states belong in the
more » ... tates belong in the same space, so that it is possible to perform unit fidelity teleportation over any one-dimensional spin-0 many body quantum state. We generalise to $n$-Bell states, and present some general bounds on fidelity of teleportation given a general state of a quantum spin chain.
doi:10.1103/physrevlett.95.230501 pmid:16384284 fatcat:bruuxz7zlfb2rfckq5wo7gpyw4