We present a Hamiltonian which can be used to convert any asymmetric state |φ⟩a|ϕ⟩b of two oscillators a and b into an entangled state via a single-step operation. Furthermore, with this Hamiltonian and only local operations, two oscillators, initially in any asymmetric initial states, can be entangled with a third oscillator. The prepared entangled states can be engineered with an arbitrary degree of entanglement. A discussion of the realization of this Hamiltonian is given. Numerical simulations show that, with current circuit QED technology, it is feasible to generate high-fidelity entangled states of two microwave optical fields, such as entangled coherent states, entangled squeezed states, entangled coherent-squeezed states, and entangled cat states. Our finding opens a avenue for creating not only wavelike or particlelike entanglement but also wavelike and particlelike hybrid entanglement
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