Communication Over Quantum Channels With Parameter Estimation

Communication over a random-parameter quantum channel when the decoder is required to reconstruct parameter sequence considered. We study scenarios that include either strictly-causal, causal, or non-causal side information (CSI) available at encoder, and also CSI not available. This model can be viewed as form of metrology, counterpart classical rate-and-state with state estimation decoder. Regularized formulas for capacity-distortion regions are derived. In special case measurement channels, single-letter characterizations derived strictly-causal causal settings. Furthermore, in more general entanglement-breaking characterization As consequence, we obtain regularized capacity channels CSI, generalizing previous results by Boche et al. , 2016, on classical-quantum channels. Bosonic dirty paper coding introduced where demonstrate optimal coefficient necessarily minimum mean-square error setting.