Measurement-Based Teleportation Along Quantum Spin Chains

Abstract

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 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.

5 pages, 2 figures, presented as posters at "Quantum entanglement in physical and information sciences", Pisa, 2004 and at the AIP Congress, Canberra, 2005

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• Unravelling Quantum Dot Array Simulators via Singlet-Triplet Measurements
• Multi-level, multi-party singlets as ground states and their role in entanglement distribution
• Tunable quantum spin chain with three-body interactions