162 research outputs found
Secret Message Transmission over Quantum Channels under Adversarial Quantum Noise: Secrecy Capacity and Super-Activation
We determine the secrecy capacities of AVQCs (arbitrarily varying quantum
channels). Both secrecy capacity with average error probability and with
maximal error probability are derived. Both derivations are based on one common
code construction. The code we construct fulfills a stringent secrecy
requirement, which is called the strong code concept. We determine when the
secrecy capacity is a continuous function of the system parameters and
completely characterize its discontinuity points both for average error
criterion and for maximal error criterion. Furthermore, we prove the phenomenon
"super-activation" for secrecy capacities of AVQCs, i.e., two quantum channels
both with zero secrecy capacity, which, if used together, allow secure
transmission with positive capacity. We also discuss the relations between the
entanglement distillation capacity, the entanglement generating capacity, and
the strong subspace transmission capacity for AVQCs.Comment: arXiv admin note: text overlap with arXiv:1702.0348
Sichere Kommunikation über Abhörkanäle mit mehreren Empfängern und aktiven Störsendern
We derive a state of the art strong secrecy coding scheme for the multi-receiver wiretap channel under the joint and individual secrecy constraints. we show that individual secrecy can utilize the concept of mutual trust to achieve a larger capacity region compared to the joint one. Further, we derive a full characterization for the list secrecy capacity of arbitrarily varying wiretap channels and establish some interesting results for the continuity and additivity behaviour of the capacity.Für den Abhörkanal mit mehreren Empfängern wird ein Kodierungsschema hergeleitet unter dem gemeinsamen als auch individuellem Sicherheitskriterium. Das individuelle Kriterium basiert auf dem Konzept des gegenseitigen Vertrauens, um eine größere Kapazitätsregion zu erreichen. Weiterhin wird eine vollständige Charakterisierung der Sicherheitskapazität für den beliebig variierenden Kanals aufgestellt, sowie Eigenschaften bezüglich der Kontinuität und des Additivitätsverhalten bewiesen
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