An extension of the central limit theorem to bosonic quantum channels recovers the classical and state versions while supplying uncertainty relations and energy-constrained capacity lower bounds for linear bosonic channels.
Quantum rate distortion, reverse Shannon theorems
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Central Limit Theorem for Bosonic Quantum Channels
An extension of the central limit theorem to bosonic quantum channels recovers the classical and state versions while supplying uncertainty relations and energy-constrained capacity lower bounds for linear bosonic channels.