Abstract
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 conclude that for Δλ both are non-analytic functions of the variable λ.
Keywords
Renyi output entropy, quantum channels
Disciplines
Mathematics | Physics
Publisher
American Institute of Physics
Publication Date
11-11-2011
Rights Information
Copyright (2011) American Institute of Physics
Rights Holder
American Institute of Physics
Recommended Citation
King, Christopher and Moser, David K., "Average output entropy for quantum channels" (2011). Mathematics Faculty Publications. Paper 1.
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averagefig4.eps (237 kB)
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averagefig5.eps (294 kB)
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Notes
Originally published in Journal of Mathematical Physics v.52 (2011): 112202. DOI: 10.1063/1.3658860.