Capacity of a bosonic memory channel with Gauss-Markov noise

@article{Schafer2009CapacityOA,
  title={Capacity of a bosonic memory channel with Gauss-Markov noise},
  author={Joachim Schafer and D. Daems and Evgueni Karpov and Nicolas J. Cerf},
  journal={Physical Review A},
  year={2009},
  volume={80},
  pages={062313}
}
We address the classical capacity of a quantum bosonic memory channel with additive noise, subject to an input energy constraint. The memory is modeled by correlated noise emerging from a Gauss-Markov process. Under reasonable assumptions, we show that the optimal modulation results from a “quantum water-filling” solution above a certain input energy threshold, similar to the optimal modulation for parallel classical Gaussian channels. We also derive analytically the optimal multimode input… 

Gaussian capacity of the quantum bosonic memory channel with additive correlated Gaussian noise

An algorithm for calculation of the Gaussian classical capacity of a quantum bosonic memory channel with additive Gaussian noise is presented and it is found that such a simple coherent-state encoding achieves not less than 90% of the capacity.

Quantum water-filling solution for the capacity of Gaussian information channels

There exists an optimal squeezing of the noise, which maximizes the capacity in the highly phase-dependent noise limit, and there exists a universal value of the capacity which neither depends on the input energy nor on the value of noise temperature.

Classical capacity of phase-sensitive Gaussian quantum channels

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.

Gaussian classical capacity of Gaussian quantum channels

The Gaussian capacity of the fiducial channel is considered, its additivity is discussed and its dependence on the channel parameters is analyzed, and it is shown that the optimal channel environment for the lossy, amplification, and phase-conjugating channels is given by a pure quantum state if its energy is constrained.

A Solution of Gaussian Optimizer Conjecture for Quantum Channels

The long-standing conjectures of the optimality of Gaussian inputs and additivity are solved for a broad class of gauge-covariant or contravariant bosonic Gaussian channels restricting to the class of states with finite second moments.

Quantum channels and memory effects

The study of memory effects in quantum channels is a fertile ground where interesting novel phenomena emerge at the intersection of quantum information theory and other branches of physics.

The Information-carrying capacity of certain quantum channels

  • C. Morgan
  • Computer Science
    Irish Mathematical Society Bulletin
  • 2010
It is proved that the classical capacity for each of the classical memory channels mentioned above is, in fact, equal to the respective product-state capacities.

Continuous-variable quantum teleportation through bosonic memory channel

We put forward a scheme for quantum teleportation of continuous-variable Gaussian states using, as a quantum channel, a two-mode squeezed vacuum interacting with a thermal environment showing memory

Quantum Finite-Depth Memory Channels: Case Study

The simplest case of a qubit memory channel with a two-level memory system is investigated and it is shown that actions separated by the sequences of inputs of the length of the memory depth are independent and constitute memoryless channels.

Methods for Estimating Capacities and Rates of Gaussian Quantum Channels

Optimization methods aimed at estimating the capacities of a general Gaussian channel and transmission rates are presented within a unique framework where the rates can be treated as logarithmic approximations of the capacity.

References

SHOWING 1-10 OF 68 REFERENCES

Capacities of lossy bosonic channel with correlated noise

We evaluate the information capacities of a lossy bosonic channel with correlated noise. The model generalizes the one recently discussed by Pilyavets et al (2008 Phys. Rev. A 77 052324), where

Quantum channels with a finite memory

A model for correlated noise channels that includes a channel memory state is derived that shows that the structure of any finite-memory state is unimportant in the asymptotic limit, and specifically, for a perfect finite- memory channel where no information is lost to the environment, achieving the upper bound implies that the channel is asymptonically noiseless.

Quantum entanglement enhances the capacity of bosonic channels with memory

The bosonic quantum channels have recently attracted a growing interest, motivated by the hope that they open a tractable approach to the generally hard problem of evaluating quantum channel

Proof of the bosonic minimum output entropy conjecture

1 Ever since Shannon established the capacity of the continuous classical communication channel with Gaussian noise and loss more than half a century ago [1], researchers have sought to establish the

Entanglement-enhanced transmission of classical information in Pauli channels with memory: Exact solution

The maximum of the mutual information between the input and the output is proven to be achieved by a class of product states that is explicitly given in terms of the relevant channel parameters below some memory threshold, and by maximally entangled states above this threshold.

Lossy bosonic quantum channel with non-Markovian memory

A simple model to study memory effects in a lossy bosonic quantum channel over arbitrary number of uses and characterize the asymptotic behavior of the channel for classical information transmission is provided.

Bounds on classical information capacities for a class of quantum memory channels

Upper bounds on the classical information capacities of a class of quantum memory channels, a generalization of classical indecomposable finite-state channels, are derived.

Entanglement-enhanced classical capacity of quantum communication channels with memory in arbitrary dimensions

It is conjecture that when entanglement gives an advantage in terms of mutual information, maximally entangled states saturate the channel capacity, as well as on the nature of the noise correlations and the parity of the space dimension.

Transition behavior in the capacity of correlated noisy channels in arbitrary dimensions

It is shown that for a subclass of channels with some extra conditions, including the examples which the authors consider, the states which minimize the output entropy are the ones which maximize the mutual information.

Coding Theorems for Quantum Channels

An emphasis is made on recent results, such as general quantum coding theorems including cases of infinite (possibly continuous) alphabets and constrained inputs, reliability function for pure state channels and quantum Gaussian channel.
...