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Entanglement transmission over arbitrarily varying quantum channels

: Ahlswede, R.; Bjelakovic, I.; Boche, H.; Nötzel, J.


Institute of Electrical and Electronics Engineers -IEEE-:
IEEE International Symposium on Information Theory, ISIT 2010. Proceedings. Vol.3 : Austin, Texas, USA, 13 - 18 June 2010
Piscataway/NJ: IEEE, 2010
ISBN: 978-1-4244-7890-3
ISBN: 978-1-4244-6960-4
ISBN: 978-1-4244-7891-0
International Symposium on Information Theory (ISIT) <2010, Austin/Tex.>
Conference Paper
Fraunhofer HHI ()

We derive a regularized formula for the common randomness assisted entanglement transmission capacity of finite arbitrarily varying quantum channels (AVQC's). For finite AVQC's with positive capacity for classical message transmission we show, by derandomization through classical forward communication, that the random capacity for entanglement transmission equals the deterministic capacity for entanglement transmission. This is a quantum version of the famous Ahlswede dichotomy. In the infinite case, we derive a similar result for certain classes of AVQC's. At last, we give two possible definitions of symmetrizability of an AVQC.