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Entanglement-assisted communication over a random-parameter quantum channelwith either causal or non-causal channel side information (CSI) at the encoderis considered. This describes a scenario where the quantum channel depends onthe quantum state of the input environment. While Bob, the decoder, has noaccess to this state, Alice, the transmitter, performs a sequence of projectivemeasurements on her environment and encodes her message accordingly. Dupuisestablished the entanglement-assisted capacity with non-causal CSI. Here, weestablish characterization in the causal setting, and also give an alternativeproof technique and further observations for the non-causal setting.

Entanglement-Assisted Capacity of Quantum Channels with Side Information