On diagonal quantum channels

@article{Arab2020OnDQ,
  title={On diagonal quantum channels},
  author={Amir R. Arab},
  journal={arXiv: Quantum Physics},
  year={2020}
}
In this paper we study diagonal quantum channels and their structure by proving some results and giving most applicable instances of them. Firstly, it is shown that action of every diagonal quantum channel on pure state from computational basis is a convex combination of pure states determined by some transition probabilities. Finally, by using the Cholesky decomposition it is presented an algorithmic method to find an explicit form for Kraus operators of diagonal quantum channels. 

References

SHOWING 1-10 OF 22 REFERENCES
On classical capacity of Weyl channels
  • G. Amosov
  • Physics, Mathematics
  • Quantum Inf. Process.
  • 2020
The additivity of minimal output entropy is proved for the Weyl channel obtained by the deformation of a q-c Weyl channel. The classical capacity of channel is calculated.
Generalizations of 2-Dimensional Diagonal Quantum Channels with Constant Frobenius Norm
  • Ivan Sergeev
  • Physics, Mathematics
  • Reports on Mathematical Physics
  • 2019
We introduce the set of quantum channels with constant Frobenius norm, the set of diagonal channels and the notion of equivalence of one-parameter families of channels. First, we show that allExpand
Quantum Systems, Channels, Information: A Mathematical Introduction
TLDR
This book gives an accessible, albeit mathematically rigorous and self-contained introduction to quantum information theory, starting from primary structures and leading to fundamental results and to exiting open problems. Expand
  • 2014
André-Louis Cholesky, mathematician, topographer and army officer , Birkhäuser
  • 2014
Tournès: André-Louis Cholesky, mathematician, topographer and army officer
  • Birkhäuser, Springer International Publishing,
  • 2014
  • 2012
Operator-sum representation for bosonic Gaussian channels
Operator-sum or Kraus representations for single-mode bosonic Gaussian channels are developed, and several of their consequences explored. The fact that the two-mode metaplectic operators acting asExpand
Unital Quantum Channels – Convex Structure and Revivals of Birkhoff’s Theorem
The set of doubly-stochastic quantum channels and its subset of mixtures of unitaries are investigated. We provide a detailed analysis of their structure together with computable criteria for theExpand
...
1
2
3
...