The capacity of black holes to transmit quantum information

@article{Bradler2014TheCO,
  title={The capacity of black holes to transmit quantum information},
  author={Kamil Bradler and Christoph Adami},
  journal={Journal of High Energy Physics},
  year={2014},
  volume={2014},
  pages={1-26}
}
A bstractWe study the properties of the quantum information transmission channel that emerges from the quantum dynamics of particles interacting with a black hole horizon. We calculate the quantum channel capacity in two limiting cases where a single-letter capacity is known to exist: the limit of perfectly reflecting and perfectly absorbing black holes. We find that the perfectly reflecting black hole channel is closely related to the Unruh channel and that its capacity is non-vanishing… 
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References

SHOWING 1-10 OF 82 REFERENCES
Classical information transmission capacity of quantum black holes
The fate of classical information incident on a quantum black hole has been the subject of an ongoing controversy in theoretical physics, because a calculation within the framework of semi-classical
Black holes as bosonic Gaussian channels
TLDR
This work identifies the quantum channels corresponding to the interaction of a Gaussian quantum state with an already formed Schwarzschild black hole and shows that the channel parameters depend on the black hole mass and the properties of the potential barrier surrounding it.
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If black holes were able to clone quantum states, a number of paradoxes in black hole physics would disappear. However, the linearity of quantum mechanics forbids exact cloning of quantum states.
Information transmission through a noisy quantum channel
TLDR
It is shown that different applications may result in different channel capacities, and upper bounds on several of these capacities are proved based on the coherent information, which plays a role in quantum information theory analogous to that played by the mutual information in classical information theory.
The Quantum Capacity With Symmetric Side Channels
TLDR
An upper bound for the quantum channel capacity that is both additive and convex is presented and seems to be quite tight, and for degradable quantum channels, it coincides with the unassisted channel capacity.
The private classical capacity and quantum capacity of a quantum channel
  • I. Devetak
  • Physics, Computer Science
    IEEE Transactions on Information Theory
  • 2005
TLDR
Motivated by the work of Schumacher and Westmoreland on quantum privacy and quantum coherence, parallels between private classical information and quantum information are exploited to obtain an expression for the capacity of a quantum channel for generating pure bipartite entanglement.
Information locking in black holes
The black hole information loss paradox has plagued physicists since Hawking's discovery that black holes evaporate thermally in contradiction to the unitarity expected by quantum mechanics. Here we
The capacity of the quantum depolarizing channel
  • C. King
  • Computer Science
    IEEE Trans. Inf. Theory
  • 2003
The information-carrying capacity of the d-dimensional depolarizing channel is computed. It is shown that this capacity can be achieved by encoding messages as products of pure states belonging to an
The structure of degradable quantum channels
TLDR
A comprehensive review of what is currently known about the structure of degradable quantum channels is given, including a number of new results as well as alternate proofs of some known results.
An Infinite Sequence of Additive Channels: The Classical Capacity of Cloning Channels
  • K. Bradler
  • Mathematics
    IEEE Transactions on Information Theory
  • 2011
TLDR
An infinite sequence of quantum channels for which the Holevo capacity is additive is introduced and the additivity proof is motivated by a special property the studied channels enjoy: the property of conjugate degradability.
...
...