Hannover 2010 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 44: Quantum Information: Concepts and Methods III
Q 44.7: Talk
Thursday, March 11, 2010, 12:00–12:15, E 214
Entanglement Transmission under Adversarially Selected Quantum Noise — Rudolf Ahlswede2, Holger Boche1, Igor Bjelakovic1, and •Janis Nötzel1 — 1Technische Universität Berlin, Lehrstuhl für Informationstheorie und theoretische Informationstechnik — 2Universität Bielefeld, Arbeitsgruppe Information und Komplexität
We consider the problem of entanglement transmission over arbitrarily varying quantum channels (AVQC's) and prove a quantum version of the famous Ahlswede dichotomy.
To start with, we use the existence of entanglement transmission codes for compound quantum channels to obtain common-randomness-assisted entanglement transmission codes for AVQC's.
As a second step, we show that we actually only need very small amounts of common randomness, leading to the proposed quantum version of Ahlswede's dichotomy through derandomization by classical forward-communication.
As a last point, we present a first attempt to derive a necessary and sufficient condition for the capacity of the AVQC to be equal to zero.