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In this paper, the authors target the practical implementation issues of quantum multicast networks. First, they design a recursive lossless compression that allows them to control the trade-off between the circuit complexity and the dimension of the compressed quantum state. They give a formula that describes the trade-off, and further analyze how the formula is affected by the controlling parameter of the recursive procedure. Their recursive lossless compression can be applied in a quantum multicast network where the source outputs homogeneous quantum states (many copies of a quantum state) to a set of destinations through a bottleneck.
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