Black holes as bosonic Gaussian channels

@article{Bradler2015BlackHA,
  title={Black holes as bosonic Gaussian channels},
  author={Kamil Bradler and Christoph Adami},
  journal={Physical Review D},
  year={2015},
  volume={92},
  pages={025030}
}
We identify the quantum channels corresponding to the interaction of a Gaussian quantum state with an already formed Schwarzschild black hole. Using recent advances in the classification of one-mode bosonic Gaussian channels we find that (with one exception) the black hole Gaussian channels lie in the non-entanglement breaking subset of the lossy channels C(loss), amplifying channels C(amp) and classical-noise channels B2. We show that the channel parameters depend on the black hole mass and… 

Figures from this paper

The capacity of black holes to transmit quantum information
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
Relativistic quantum communication: Energy cost and channel capacities
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
Nonperturbative approach to relativistic quantum communication channels
We investigate the transmission of both classical and quantum information between two arbitrary observers in globally hyperbolic spacetimes using a quantum field as a communication channel. The field
Classical capacity of phase-sensitive Gaussian quantum channels
TLDR
The analytical study of the solution of the optimization problem giving the Gaussian capacity of the single-mode fiducial Gaussian quantum channel shows that the dependence of theGaussian capacity on the environment noise squeezing is not monotonic.
Multiparticle quantum interference in Bogoliubov bosonic transformations
We explore the multiparticle transition probabilities in Gaussian unitaries effected by a twomode Bogoliubov bosonic transformation on the mode annihilation and creation operators. We show that the
Capacities of Quantum Amplifier Channels
TLDR
The capacities of quantum-limited amplifier channels are established for one of the most general communication tasks, characterized by the trade-off between classical communication, quantum communication, and entanglement generation or consumption and it is found that the capacities significantly outperform communication rates achieved with a naive time-sharing strategy.
Entropy generation in Gaussian quantum transformations: applying the replica method to continuous-variable quantum information theory
In spite of their simple description in terms of rotations or symplectic transformations in phase space, quadratic Hamiltonians such as those modelling the most common Gaussian operations on bosonic
Energy-Constrained Quantum Communication and Digital Dynamical Decoupling
  • H. Qi
  • Computer Science, Physics
  • 2017
TLDR
This thesis studies the ultimate rate of reliably transmitting information, stored in quantum systems, through a noisy evolution, and considers communication over optical links, upon which future inter-city quantum communication networks will be built.
Upper bounds on secret-key agreement over lossy thermal bosonic channels
TLDR
A recent advance in the theory of the teleportation simulation of single-mode phase-insensitive Gaussian channels is extended such that it now applies to the relative entropy of entanglement measure, and tighter upper bounds are found on the non-asymptotic secret-key-agreement capacity of the lossy thermal bosonic channel than were previously known.
Random coding for sharing bosonic quantum secrets
TLDR
An encoding procedure where bosonic modes in arbitrary secret states are mixed with several ancillary squeezed modes through a passive interferometer is introduced and it is shown that the decoding operation can be obtained and implemented efficiently with a Gaussian unitary using a number of single-mode squeezers.
...
...

References

SHOWING 1-10 OF 62 REFERENCES
The capacity of black holes to transmit quantum information
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
Quantum capacities of bosonic channels.
TLDR
The quantum capacity for a class of Gaussian channels, including channels describing optical fibers with photon losses, is calculated by proving that Gaussian encodings are optimal by proved that Gaussians are optimal.
Optimal unitary dilation for bosonic Gaussian channels
TLDR
The minimal number of quantum Gaussian environmental modes required to provide a unitary dilation of a multimode bosonic Gaussian channel is analyzed for both pure and mixed environments and a new quantity reflecting ''noisiness'' of bosonicGaussian channels is introduced.
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
One-mode bosonic Gaussian channels: a full weak-degradability classification
TLDR
It is shown that apart from the class of channels which are unitarily equivalent to the channels with additive classical noise, these maps can be characterized in terms of weak- and/or anti-degradability.
Equivalence relations for the classical capacity of single-mode Gaussian quantum channels.
TLDR
In a large domain of parameters, this work provides an analytical expression for the Gaussian classical capacity, exploiting its additivity, and proves that the classical capacity cannot exceed it by more than 1/ln2 bits.
Gaussian quantum information
TLDR
This review focuses on continuous-variable quantum information processes that rely on any combination of Gaussian states, Gaussian operations, and Gaussian measurements, including quantum communication, quantum cryptography, quantum computation, quantum teleportation, and quantum state and channel discrimination.
Evaluating capacities of bosonic Gaussian channels
We show how to compute or at least to estimate various capacity-related quantities for bosonic Gaussian channels. Among these are the coherent information, the entanglement-assisted classical
Better late than never: information retrieval from black holes.
We show that, in order to preserve the equivalence principle until late times in unitarily evaporating black holes, the thermodynamic entropy of a black hole must be primarily entropy of entanglement
One-Shot Decoupling and Page Curves from a Dynamical Model for Black Hole Evaporation.
TLDR
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.
...
...