High-dimensional quantum state transfer in a noisy network environment*
Qin Weia),b),c),d), Li Jun-Linb),c),d), Long Gui-Lub),c),d)†
       
Schematic configurations for two-fold (a) and three-fold (b) Cartesian products of a two-spin chain with uniform coupling strength κ . Unitary evolution for a time τ 1 = π /(4 S 0 κ ) results in a high-dimensional swap operation between two spins along each main diagonal. In a coupled-spin chain of length N (c), unitary evolution for a time τ ′ = π /(2 S 0 g 0) enables a mirror-like high-dimensional swap operation with respect to its center through engineering inter-spin coupling strengths .