Distribution of Gaussian Entanglement in Linear Optical Systems

Abstract

Entanglement is an essential ingredient for building a quantum network that can have many applications. Understanding how entanglement is distributed in a network is a crucial step to move forward. Here we study the conservation and distribution of Gaussian entanglement in a linear network using a new quantifier for bipartite entanglement. We show that the entanglement can be distributed through a beam-splitter in the same way as the transmittance and the reflectance. The requirements on the entangled states and the type of networks to satisfy this relation are presented explicitly. Our results provide a new quantification for quantum entanglement and further insights into the structure of entanglement in a network.

References in corpus (34)

• Separability Criterion for Density Matrices
• A computable measure of entanglement
• Quantum information with continuous variables
• Gaussian Quantum Information
• Distributed Entanglement
• Quantum computational advantage using photons
• Peres-Horodecki separability criterion for continuous variable systems
• Inseparability criterion for continuous variable systems
• Quantifying Entanglement
• The logarithmic negativity: A full entanglement monotone that is not convex
• Continuous variable quantum information: Gaussian states and beyond
• Magnon-photon-phonon entanglement in cavity magnomechanics
• Monogamy of entanglement and other correlations
• Bound entangled Gaussian states
• Quantum information with Gaussian states
• Boson Sampling from Gaussian States
• Is Entanglement Monogamous?
• Continuous variable tangle, monogamy inequality, and entanglement sharing in Gaussian states of continuous variable systems
• Distributed Quantum Metrology and the Entangling Power of Linear Networks
• Protocol for direct counterfactual quantum communication
• Separability of n-particle mixed states: necessary and sufficient conditions in terms of linear maps
• Separability Properties of Three-mode Gaussian States
• The entangling power of passive optical elements
• Unified quantification of nonclassicality and entanglement
• Monogamy inequality for distributed Gaussian entanglement
• Negativity of quantumness and its interpretations
• Entanglement and visibility at the output of a Mach-Zehnder interferometer
• Monogamy of entanglement of formation
• Dissipation-induced pure Gaussian state
• Conservation relation of nonclassicality and entanglement for Gaussian states in a beam-splitter
• Entanglement of Gaussian states using beam splitter
• Entanglement of Pure Two-Mode Gaussian States
• Quantifications for multi-mode entanglement
• Nonclassicality and entanglement for wavepackets