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Related Concept Videos

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Updated: Nov 27, 2025

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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Quantum Correlation Based on Uhlmann Fidelity for Gaussian States.

Liang Liu1, Jinchuan Hou2, Xiaofei Qi3,4

  • 1College of Mechanics, Taiyuan University of Technology, Taiyuan 030024, China.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary

A new quantum correlation measure, NFG,A, is introduced for multi-mode systems. It overcomes limitations of previous methods and effectively detects quantum correlations in Gaussian states.

Keywords:
Gaussian statesGaussian unitary operatorsUhlmann fidelityquantum correlations

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Area of Science:

  • Quantum Information Theory
  • Quantum Optics
  • Many-Body Physics

Background:

  • Quantum correlations are crucial for quantum information processing.
  • Existing measures face challenges like the local ancilla problem.
  • Geometric measurement-induced correlations are useful but have limitations.

Purpose of the Study:

  • Introduce a novel quantum correlation measure, NFG,A, for continuous-variable systems.
  • Address the local ancilla problem in quantum correlation quantification.
  • Develop a robust measure for detecting quantum correlations in Gaussian states.

Main Methods:

  • Definition of NFG,A using local Gaussian unitary operations and Uhlmann fidelity.
  • Analysis of NFG,A's properties: local Gaussian unitary invariance and behavior under quantum channels.
  • Derivation of a concrete formula for (1+1)-mode symmetric squeezed thermal states (SSTSs).

Main Results:

  • NFG,A is invariant under local Gaussian unitary operations on subsystem A.
  • NFG,A is non-increasing under Gaussian quantum channels on subsystem B.
  • NFG,A serves as an entanglement monotone for pure Gaussian states in (1+m)-mode systems.
  • A specific formula for (1+1)-mode SSTSs is derived.

Conclusions:

  • NFG,A offers a solution to the local ancilla problem.
  • The new measure demonstrates advantages in detecting quantum correlations compared to Gaussian quantum discord and geometric discord for SSTSs.
  • NFG,A is a promising tool for quantifying quantum correlations in continuous-variable Gaussian systems.