Entangling two oscillators with arbitrary asymmetric initial states

Abstract

A Hamiltonian is presented, which can be used to convert any asymmetric state $|\phi {⟩}_a|\varphi {⟩}_b$ 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.

8 pages, 2 figures

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• Universal quantum gate with hybrid qubits in circuit quantum electrodynamics
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• Circuit QED: Generation of two-transmon-qutrit entangled states via resonant interaction
• One-step implementation of a multi-target-qubit controlled phase gate with cat-state qubits in circuit QED
• Transferring entangled states of photonic cat-state qubits in circuit QED