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Average Output Entropy For Quantum Channels, Christopher King, David K. Moser

Christopher King

We study the regularized average Renyi output entropy r reg of quantum channels. This quantity gives information about the average noisiness of the channel output arising from a typical, highly entangled input state in the limit of infinite dimensions. We find a closed expression for βr reg , a quantity which we conjecture to be equal to r reg . We find an explicit form for βr reg for some entanglement-breaking channels and also for the qubit depolarizing channel Δλ as a function of the parameter λ. We prove equality of the two quantities in some cases, in particular, we …