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Related Experiment Video

Updated: Jul 16, 2026

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

Monogamy inequality for distributed gaussian entanglement.

Tohya Hiroshima1, Gerardo Adesso, Fabrizio Illuminati

  • 1Quantum Computation and Information Project, ERATO-SORST, Japan Science and Technology Agency, Daini Hongo White Building 201, Hongo 5-28-3, Bunkyo-ku, Tokyo 113-0033, Japan.

Physical Review Letters
|March 16, 2007
PubMed
Summary

We demonstrate that entanglement in multi-party quantum systems always adheres to monogamy. This fundamental property, crucial for quantum information, is proven using a new measure called Gaussian tangle.

Related Experiment Videos

Last Updated: Jul 16, 2026

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

Area of Science:

  • Quantum Information Theory
  • Many-Body Quantum Systems
  • Quantum Correlations

Background:

  • Entanglement is a key resource in quantum information.
  • Understanding entanglement in multi-party systems is crucial for quantum technologies.
  • Gaussian states are fundamental in continuous variable quantum systems.

Purpose of the Study:

  • To prove the monogamy property of entanglement for n-mode Gaussian states.
  • To introduce a new entanglement measure for Gaussian states.
  • To elucidate the structure of quantum correlations in many-body systems.

Main Methods:

  • Mathematical proof of the monogamy inequality.
  • Introduction of the Gaussian tangle, an entanglement monotone.
  • Definition of Gaussian tangle using squared negativity.

Main Results:

  • Established the monogamy of entanglement for all n-mode Gaussian states.
  • Introduced the Gaussian tangle, analogous to n-qubit systems.
  • Demonstrated the entanglement monotone under Gaussian local operations and classical communication.

Conclusions:

  • The fundamental monogamy property holds for multi-party Gaussian entanglement.
  • The Gaussian tangle provides a tool to quantify multipartite entanglement in continuous variable systems.
  • These findings deepen our understanding of quantum correlations in complex quantum systems.