# 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…

## 22 Citations

Relativistic quantum communication: Energy cost and channel capacities

- PhysicsPhysical Review D
- 2021

We consider the communication of classical and quantum information between two arbitrary observers in asymptotically flat spacetimes (possibly containing black holes) and investigate what is the…

Black holes as bosonic Gaussian channels

- Physics, Computer Science
- 2015

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.

A Statistical Model of Information Evaporation of Perfectly Reflecting Black Holes

- PhysicsArXiv
- 2013

This work reveals the statistical communication background of the information evaporation process of PR black holes and shows that the density of the cloned quantum particles in function of the PR black hole's mass approximates a Chi-square distribution, while the stimulated emission process is characterized by zero-mean, circular symmetric complex Gaussian random variables.

Black holes are almost optimal quantum cloners

- Physics
- 2015

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.…

Quantum Black Holes as Solvents

- Physics
- 2019

Most of the entropy in the universe is in the form of Bekenstein-Hawking (BH) entropy of super-massive black holes. Although time scales are very long, it is believed that black holes will eventually…

Parametric down conversion with a depleted pump as a model for classical information transmission capacity of quantum black holes

- Physics
- 2015

In this paper we extend the investigation of Adami and Ver Steeg (2014 Class. Quantum Grav. 31 075015) to treat the process of black hole (BH) particle emission effectively as the analogous quantum…

Black hole thermodynamics from decoherence

- Physics
- 2015

We present an approach to the four laws of black hole thermodynamics by utilizing the thermodynamics of quantum coherence. Firstly, Hawking effect is attributed to the decoherence of the two-mode…

One-Shot Decoupling and Page Curves from a Dynamical Model for Black Hole Evaporation.

- PhysicsPhysical review letters
- 2016

It is argued that information transfer and the emergence of Page curves is a robust feature of any multilinear interaction Hamiltonian with a bounded spectrum.

Relativistic Quantum Metrology in Open System Dynamics

- PhysicsScientific reports
- 2015

This work investigates the evolution of a two-level atom as a detector which interacts with a massless scalar field using the master equation approach for open quantum system and finds the optimal precision of estimation is achieved when the detector evolves for a long enough time.

Preserving information from the beginning to the end of time in a Robertson–Walker spacetime

- Computer Science
- 2014

This paper considers the dynamics of quantum systems under a 1 + 1 Robertson–Walker spacetime and finds that the noise imparted to them is equivalent to the well known amplitude damping channel and determines a trade-off between achievable rates of classical and quantum information preservation when entanglement assistance is available.

## References

SHOWING 1-10 OF 82 REFERENCES

Classical information transmission capacity of quantum black holes

- Physics
- 2004

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

- Physics, Computer Science
- 2015

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.

Black holes are almost optimal quantum cloners

- Physics
- 2015

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

- Computer Science
- 1998

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

- Computer ScienceIEEE Transactions on Information Theory
- 2008

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

- Physics, Computer ScienceIEEE Transactions on Information Theory
- 2005

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

- Physics
- 2005

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

- Computer ScienceIEEE 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

- Computer Science
- 2008

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

- MathematicsIEEE Transactions on Information Theory
- 2011

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.