State Transfer in Highly Connected Networks and a Quantum Babinet Principle

Details State Transfer in Highly Connected Networks and a Quantum Babinet Principle State Transfer in Highly Connected Networks and a Quantum Babinet Principle

2008-08-16

arxiv.org/abs/0808.2261v2

Phys. Rev. A 78, 062310 (2008)

Physics

Quantum Physics

5 pages, 3 figures; Replaced with published version

Scientific paper

10.1103/PhysRevA.78.062310

The transfer of a quantum state between distant nodes in two-dimensional networks, is considered. The fidelity of state transfer is calculated as a function of the number of interactions in networks that are described by regular graphs. It is shown that perfect state transfer is achieved in a network of size N, whose structure is that of a N/2-cross polytope graph, if N is a multiple of 4. The result is reminiscent of the Babinet principle of classical optics. A quantum Babinet principle is derived, which allows for the identification of complementary graphs leading to the same fidelity of state transfer, in analogy with complementary screens providing identical diffraction patterns.

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