Entangling two oscillators with arbitrary asymmetric initial states

TL;DR

This paper introduces a Hamiltonian that can entangle two oscillators from any asymmetric initial states and extend entanglement to a third oscillator, enabling versatile quantum state engineering.

Contribution

It presents a novel Hamiltonian for entangling oscillators from arbitrary asymmetric states and discusses its practical realization with current circuit QED technology.

Findings

Feasible generation of high-fidelity entangled microwave states

Capability to engineer arbitrary degrees of entanglement

Potential for creating diverse entangled light states

Abstract

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.