1,599 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
Secrecy Through Synchronization Errors
In this paper, we propose a transmission scheme that achieves information
theoretic security, without making assumptions on the eavesdropper's channel.
This is achieved by a transmitter that deliberately introduces synchronization
errors (insertions and/or deletions) based on a shared source of randomness.
The intended receiver, having access to the same shared source of randomness as
the transmitter, can resynchronize the received sequence. On the other hand,
the eavesdropper's channel remains a synchronization error channel. We prove a
secrecy capacity theorem, provide a lower bound on the secrecy capacity, and
propose numerical methods to evaluate it.Comment: 5 pages, 6 figures, submitted to ISIT 201
Polar codes for private classical communication
We construct a new secret-key assisted polar coding scheme for private
classical communication over a quantum or classical wiretap channel. The
security of our scheme rests on an entropic uncertainty relation, in addition
to the channel polarization effect. Our scheme achieves the symmetric private
information rate by synthesizing "amplitude" and "phase" channels from an
arbitrary quantum wiretap channel. We find that the secret-key consumption rate
of the scheme vanishes for an arbitrary degradable quantum wiretap channel.
Furthermore, we provide an additional sufficient condition for when the secret
key rate vanishes, and we suspect that satisfying this condition implies that
the scheme requires no secret key at all. Thus, this latter condition addresses
an open question from the Mahdavifar-Vardy scheme for polar coding over a
classical wiretap channel.Comment: 11 pages, 2 figures, submission to the 2012 International Symposium
on Information Theory and its Applications (ISITA 2012), Honolulu, Hawaii,
US
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