Public Quantum Communication and Superactivation

@article{Brando2013PublicQC,
  title={Public Quantum Communication and Superactivation},
  author={Fernando G. S. L. Brand{\~a}o and Jonathan Oppenheim},
  journal={IEEE Transactions on Information Theory},
  year={2013},
  volume={59},
  pages={2517-2526}
}
Is there a meaningful quantum counterpart to public communication? We argue that it is the symmetric-side channel. This connection is partially motivated by recent work, where it was found that if a sender would like to communicate a secret message to a receiver through an insecure quantum channel using a shared quantum state as a key, then the insecure quantum channel is only ever used to simulate a symmetric-side channel. Here, we further show, in complete analogy to the role of public… 
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14 Citations
Background Citations
11
Results Citations
1

14 Citations

Secure Communication over Zero-Private Capacity Quantum Channels
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It is proved that the polaractivation works for arbitrary zero private-capacity quantum channels and it is demonstrated, that the symmetric private classical capacity of arbitrary zeroPrivate quantum channels is polaractive.
How Deep the Theory of Quantum Communications Goes: Superadditivity, Superactivation and Causal Activation
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The aim of this treatise is to shed light on phenomena of superadditivity, superactivation and causal activation by providing the reader with an easy access and guide towards the relevant literature and the prominent results from a communication engineering perspective.
A Survey on Quantum Channel Capacities
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The properties of the quantum communication channel, the various capacity measures and the fundamental differences between the classical and quantum channels are reviewed.
Gaussian bosonic synergy: quantum communication via realistic channels of zero quantum capacity
TLDR
It is shown that this “superactivation” phenomenon also occurs in the more realistic setting of optical channels with attenuation and Gaussian noise, paving the way for its experimental realization and application in real-world communications systems.
Quasi-superactivation of classical capacity of zero-capacity quantum channels
TLDR
It is shown that a nonzero classical capacity can be achieved for all zero-capacity quantum channels and it only requires the assistance of an elementary photon–atom interaction process – stimulated emission.
Algorithmic superactivation of asymptotic quantum capacity of zero-capacity quantum channels
Superactivation of quantum channels is limited by the quantum relative entropy function
TLDR
It is proved that the possibility of superactivation of quantum channel capacities is determined by the mathematical properties of the quantum relative entropy function, and the proposed theorems and connections hold for all other channel capacities of quantum channels for which the superactivation is possible.
Private Quantum Coding for Quantum Relay Networks
TLDR
This work shows that in the quantum setting the probabilistic behavior can be completely eliminated and shows how to combine quantum polar encoding with superactivation-assistance in order to achieve reliable and capacity-achieving private communication over noisy quantum relay channels.
On the Mathematical Boundaries of Communication with Zero-Capacity Quantum Channels
TLDR
This work proves that the possibility of superactivation of quantum channel capacities is determined by the mathematical properties of the quantum relative entropy function.
Correlation measures and distillable entanglement in AdS/CFT
Recent developments have exposed close connections between quantum information and holography. In this paper, we explore the geometrical interpretations of the recently introduced $Q$-correlation and…
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