  A Hamiltonian is presented, which can be used to convert any asymmetric state
$|\varphi \rangle_{a}|\phi \rangle_{b}$ of two oscillators $a$ and $b$ into an
entangled state. Furthermore, with this Hamiltonian and local operations only,
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 on 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 new avenue for creating not only two-color or three-color
entanglement of light but also wave-like or particle-like entanglement or novel
wave-like and particle-like hybrid entanglement.
