How much quantum noise of amplifiers is detrimental to entanglement

Abstract

We analyze the effect of the quantum noise of an amplifier on the entanglement properties of an input state. We consider both phase insensitive and phase sensitive amplification and specialize to Gaussian states for which entanglement measures are well developed. In the case of phase insensitive amplification in which both the modes are symmetrically amplified, we find that the entanglement in the output state vanishes if the intensity gain exceeds a limiting value $2/(1+\exp [-E_N])$ where $E_N$ is the logarithmic negativity of the input state which quantifies the initial entanglement between the two modes. The entanglement between the two modes at the output is found to be more robust if only one mode is amplified.

Latex, 9 pages, 4 figures,

References in corpus (9)

• Quantum information with continuous variables
• The logarithmic negativity: A full entanglement monotone that is not convex
• Entanglement in continuous variable systems: Recent advances and current perspectives
• Quantum information with Gaussian states
• Entanglement conditions for two-mode states: Applications
• Universal optical amplification without nonlinearity
• Phase-sensitive Manipulations of Squeezed Vacuum Field in an Optical Parametric Amplifier inside an Optical Cavity
• A Bootstrapping Approach for Generating Maximally Path-Entangled Photon States
• Experimentally friendly bounds on non-Gaussian entanglement from second moments

Cited by in corpus (7)

• Quantum linear amplifier enhanced by photon subtraction and addition
• Linear amplification and quantum cloning for non-Gaussian continuous variables
• Is nonclassicality-breaking the same thing as entanglement-breaking?
• Photon pair generation in a lossy microring resonator. II. Entanglement in the output mixed Gaussian squeezed state
• Polaritonic Ultrastrong Coupling: Quantum Entanglement in Ground State
• Origin of Quantum Noise and Decoherence in Distributed Amplifiers
• Some aspects of the interplay between bipartite correlations and quantum channels