TU3.R2.4

Data Transmission over a Bosonic Channel under Classical Noise

Janis Nötzel, Technical University of Munich, Germany

Session:
Quantum Shannon Theory 2

Track:
6: Quantum Information and Coding Theory

Location:
Ypsilon I-II-III

Presentation Time:
Tue, 9 Jul, 15:25 - 15:45

Session Chair:
Mario Berta, RWTH Aachen
Abstract
Compound channels model situations where a sender and receiver both have only partial information about the stationary channel they are transmitting over. They can be used to analyse the robustness of a communication system. With this work we provide a coding theorem for a class of practically relevant quantum compound channel models, where we consider the system uncertainty as due to a stationary but unknown jamming signal. Namely, we give an explicit formula for the case of the lossy Bosonic channel in the presence of a semi-classical attack utilizing the injection of coherent states into the transmission line. Mathematically, this is modelled by letting transmitter and jammer access the two different ports of a beam-splitter, and the receiver observe one of the output ports. While the transmitter can modulate their input, the jammer must transmit a constant (but unknown) sequence of states. We conjecture a new quantum entropy power inequality and show its relation to the capacity under study.
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