Entanglement generation from thermal spin states via unitary beam splitters

We suggest a method of generating distillable entanglement from mixed states unitarily, by utilizing the flexibility of dimension of occupied Hilbert space. We present a model of a thermal spin state entering a beam splitter generating entanglement. It is the truncation of the state that allows for entanglement generation. The output entanglement is investigated for different temperatures and it is found that more randomness-in the form of higher temperature-is better for this setup.