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Continuous U(1) gauge symmetry, which guarantees the conservation of thetotal excitations in linear bosonic systems, will be broken when it comes tothe strong-coupling regime where the rotation wave approximation (RWA) fails.Here we develop analytic solutions for multi-mode bosonic systems with XX-typecouplings beyond RWA, and proposed a novel scheme to implement high-fidelityquantum state transfer (QST) and entanglement preparation (EP) with high speed.The scheme can be realized with designated coupling strength and pulse durationwith which the excitation number keeps unchanged regardless of the breakdown ofthe global U(1) symmetry. In the QST tasks, we consider several typical quantumstates and demonstrate that this method is robust against thermal noise andimperfections of experimental sequence. In the EP tasks, the scheme issuccessfully implemented for the preparation of Bell states and W-type states,within a shortest preparation time.

Fast quantum state transfer and entanglement preparation in strongly coupled bosonic systems