The Naimark dilated PT-symmetric brachistochrone

The quantum mechanical brachistochrone system with PT-symmetric Hamiltonian is Naimark dilated and reinterpreted as subsystem of a Hermitian system in a higher-dimensional Hilbert space. This opens a way to a direct experimental implementation of the recently hypothesized PT-symmetric ultra-fast (wormhole-like) brachistochrone regime of [C. M. Bender et al, Phys. Rev. Lett. 98, 040403 (2007)] in an entangled two-spin system. The talk is mainly based on Phys. Rev. Lett. 101, 230404 (2008).