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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 NoiseRudolf Ahlswede2, Holger Boche1, Igor Bjelakovic1, and •Janis Nötzel11Technische 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.

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