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We show how to achieve perfect quantum state transfer and construct effectivetwo-qubit gates between distant sites in engineered bosonic and fermionicnetworks. The Hamiltonian for the system can be determined by choosing aneigenvalue spectrum satisfying a certain condition, which is shown to be bothsufficient and necessary in mirror-symmetrical networks. The natures of theeffective two-qubit gates depend on the exchange symmetry for fermions andbosons. For fermionic networks, the gates are entangling (and thus universalfor quantum computation). For bosonic networks, though the gates are notentangling, they allow two-way simultaneous communications. Protocols ofentanglement generation in both bosonic and fermionic engineered networks arediscussed.Comment: RevTeX4, 6 pages, 1 figure; replaced with a more general example and  clarified the sufficient and necessary condition for perfect state transfe

Perfect state transfer, effective gates, and entanglement generation in engineered bosonic and fermionic networks