By combining a squeezed propagating microwave field and an unsqueezed vacuum field on a hybrid (microwave beam-splitter), we generate entanglement between the two output modes. We verify that we have generated entangled states by making independent a
nd efficient single-quadrature measurements of the two output modes. We observe the entanglement witness $E_mathrm{W}=-0.263^{+0.001}_{-0.036}$ and the negativity $N=0.0824^{+0.01}_{-0.0004}$ with measurement efficiencies at least $26pm{0.1}%$ and $41pm{0.2}%$ for channel~1 and 2 respectively. These measurements show that the output two-mode state violates the separability criterion and therefore demonstrate entanglement. This shared entanglement between propagating microwaves provides an important resource for building quantum networks with superconducting microwave systems.
We present measurements of a topological property, the Chern number ($C_mathrm{1}$), of a closed manifold in the space of two-level system Hamiltonians, where the two-level system is formed from a superconducting qubit. We manipulate the parameters o
f the Hamiltonian of the superconducting qubit along paths in the manifold and extract $C_mathrm{1}$ from the nonadiabitic response of the qubit. By adjusting the manifold such that a degeneracy in the Hamiltonian passes from inside to outside the manifold, we observe a topological transition $C_mathrm{1} = 1 rightarrow 0$. Our measurement of $C_mathrm{1}$ is quantized to within 2 percent on either side of the transition.
