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Two-mode squeezing is a fascinating example of quantum entanglementmanifested in cross-correlations of incompatible observables between twosubsystems. At the same time, these subsystems themselves may contain noquantum signatures in their self-correlations. These properties make two-modesqueezed (TMS) states an ideal resource for applications in quantumcommunication. Here, we generate propagating microwave TMS states by a beamsplitter distributing single mode squeezing emitted from distinct Josephsonparametric amplifiers along two output paths. We experimentally study thefundamental dephasing process of quantum cross-correlations incontinuous-variable propagating TMS microwave states and accurately describe itwith a theory model. In this way, we gain the insight into finite-timeentanglement limits and predict high fidelities for benchmark quantumcommunication protocols such as remote state preparation and quantumteleportation.

Finite-time quantum entanglement in propagating squeezed microwaves