Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1112.2804

Comment on "Role of Initial Entanglement and Non-Gaussianity in the Docoherence of Photon-Number Entangled States Evolving in a Noisy Channel"

Jaehak Lee, M. S. Kim, Hyunchul Nha

Published Dec 13, 2011• 0 citations
arXivHTMLPDF

Abstract

A discussion on the robustness of continuous-variable entangled states under noisy environment is briefly given in direct relation to Phys. Rev. Lett. 105, 100503 (2010).
DOI
10.48550/arxiv.1112.2804

Related papers

Comment on “Role of Initial Entanglement and Non-Gaussianity in the Decoherence of Photon-Number Entangled States Evolving in a Noisy Channel”

Jaehak Lee, M. S. Kim, Hyunchul Nha

A Comment on the Letter by Michele Allegra, Paolo Giorda, and Matteo G. A. Paris, Phys. Rev. Lett. 105, 100503 (2010). The authors of the Letter offer a Reply.Received 22 November 2010DOI:https://doi.org/10.1103/PhysRevLett.107.238901© 2011 American Physical Society

Physical Review Letters•Nov 30, 2011•14 citations

Are high-dimensional entangled states robust to noise?

Feng Zhu, Max Tyler, Natalia Herrera Valencia +2 more

•Aug 23, 2019•2 citations

Role of Initial Entanglement and Non-Gaussianity in the Decoherence of Photon-Number Entangled States Evolving in a Noisy Channel

Michele Allegra, Paolo Giorda, Matteo G. A. Paris

We address the degradation of continuous variable (CV) entanglement in a noisy channel focusing on the set of photon-number entangled states. We exploit several separability criteria and compare the resulting separation times with the value of non-Gaussianity at any time, thus showing that in the low-temperature regime: (i) non-Gaussianity is a bound for the relative entropy of entanglement and (ii) Simon's criterion provides a reliable estimate of the separation time also for non-Gaussian states. We provide several evidences supporting the conjecture that Gaussian entanglement is the most robust against noise, i.e., it survives longer than a non-Gaussian one, and that this may be a general feature for CV systems in Markovian channels.

arXiv:1003.3331•Physical Review Letters•Sep 1, 2010•44 citations

Noise of Quantum Channels can Generate Quantum Entanglement from Classical Correlation

László Gyöngyösi, Sándor Imre

Bulletin of the American Physical Society•Mar 20, 2013•0 citations

Robustness of Non-Gaussian Entanglement against Noisy Amplifier and Attenuator Environments

Krishna Kumar Sabapathy, J. Solomon Ivan, R. Simon

The recently developed Kraus representation for bosonic Gaussian channels is employed to study analytically the robustness of non-Gaussian entanglement against evolution under noisy attenuator and amplifier environments, and compare it with the robustness of Gaussian entanglement. Our results show that some non-Gaussian states with one ebit of entanglement are more robust than all Gaussian states, even the ones with arbitrarily large entanglement, a conclusion of direct consequence to the recent conjecture by Allegra et al. [Phys. Rev. Lett. 105, 100503 (2010)].

arXiv:1103.1311•Physical Review Letters•Sep 19, 2011•60 citations

PART A - Fundamental concepts - Non-Markovian entanglement dynamics of noisy continuous-variable quantum channels (9 pages)

Weimin Zhang, Jun‐Hong An

•Jan 1, 2007•0 citations
We address the degradation of continuous variable (CV) entanglement in a noisy channel focusing on the set of photon-number entangled states. We exploit several separability criteria and compare the resulting separation times with the value of non-Gaussianity at any time, thus showing that in the low-temperature regime: (i) non-Gaussianity is a bound for the relative entropy of entanglement and (ii) Simon's criterion provides a reliable estimate of the separation time also for non-Gaussian states. We provide several evidences supporting the conjecture that Gaussian entanglement is the most robust against noise, i.e., it survives longer than a non-Gaussian one, and that this may be a general feature for CV systems in Markovian channels.
The recently developed Kraus representation for bosonic Gaussian channels is employed to study analytically the robustness of non-Gaussian entanglement against evolution under noisy attenuator and amplifier environments, and compare it with the robustness of Gaussian entanglement. Our results show that some non-Gaussian states with one ebit of entanglement are more robust than all Gaussian states, even the ones with arbitrarily large entanglement, a conclusion of direct consequence to the recent conjecture by Allegra et al. [Phys. Rev. Lett. 105, 100503 (2010)].