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Updated: Jun 8, 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

Highly entangled states with almost no secrecy.

Matthias Christandl1, Norbert Schuch, Andreas Winter

  • 1Faculty of Physics, Ludwig-Maximilians-Universität München, Theresienstrasse 37, 80333 Munich, Germany.

Physical Review Letters
|September 28, 2010
PubMed
Summary
This summary is machine-generated.

This study introduces a quantum state that is highly entangled yet yields minimal secrecy. Researchers found low extractable secrecy, bounded by O(1/d), despite high entanglement cost.

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Area of Science:

  • Quantum Information Theory
  • Quantum Entanglement
  • Quantum Cryptography

Background:

  • Entanglement is a key resource in quantum information processing.
  • The relationship between entanglement and secrecy is not fully understood.
  • Quantifying extractable secrecy from entangled states is an active research area.

Purpose of the Study:

  • To investigate the trade-off between entanglement and secrecy in quantum states.
  • To provide the first example of a quantum state with high entanglement and low extractable secrecy.
  • To establish bounds on bipartite entanglement for a specific quantum state.

Main Methods:

  • Analysis of the totally antisymmetric state in dimension d×d.
  • Application of representation theory and linear programming.
  • Utilizing the squashed entanglement measure.

Main Results:

  • Demonstrated that extractable secrecy from the state is low, bounded by O(1/d).
  • Showcased that the state is highly entangled, with an entanglement cost independent of d.
  • Established bounds on bipartite entanglement for the analyzed quantum state.

Conclusions:

  • The study provides a concrete example illustrating the complex relationship between entanglement and secrecy.
  • Findings clarify the connection between squashed entanglement and relative entropy of entanglement.
  • Highlights that high entanglement does not necessarily imply high extractable secrecy.