Fidelity threshold for long-range entanglement in quantum networks

Details Fidelity threshold for long-range entanglement in quantum networks Fidelity threshold for long-range entanglement in quantum networks

2009-10-08

arxiv.org/abs/0910.1459v2

Phys. Rev. A 81, 012310 (2010)

Physics

Quantum Physics

published version

Scientific paper

10.1103/PhysRevA.81.012310

We present a strategy to generate long-range entanglement in noisy quantum networks. We consider a cubic lattice whose bonds are partially entangled mixed states of two qubits, and where quantum operations can be applied perfectly at the nodes. In contrast to protocols designed for one- or two-dimensional regular lattices, we find that entanglement can be created between arbitrarily distant qubits if the fidelity of the bonds is higher than a critical value, independent of the system size. Therefore, we show that a constant overhead of local resources, together with connections of finite fidelity, is sufficient to achieve long-distance quantum communication in noisy networks.

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