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Related Concept Videos

Uncertainty: Overview00:59

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In analytical chemistry, we often perform repetitive measurements to detect and minimize inaccuracies caused by both determinate and indeterminate errors. Despite the cares we take, the presence of random errors means that repeated measurements almost never have exactly the same magnitude. The collective difference between these measurements - observed values - and the estimated or expected value is called uncertainty. Uncertainty is conventionally written after the estimated or expected value.
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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

Collective uncertainty entanglement test.

Łukasz Rudnicki1, Paweł Horodecki, Karol Zyczkowski

  • 1Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotników 32/46, PL-02-668 Warsaw, Poland. rudnicki@cft.edu.pl

Physical Review Letters
|November 24, 2011
PubMed
Summary
This summary is machine-generated.

Researchers developed a new method to measure quantum entanglement by analyzing projections of quantum states. This technique, called collectibility, is experimentally accessible and quantifies entanglement in multi-part quantum systems.

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Area of Science:

  • Quantum Information Science
  • Quantum Mechanics
  • Condensed Matter Physics

Background:

  • Quantum entanglement is a fundamental property of composite quantum systems, crucial for quantum information processing.
  • Quantifying entanglement experimentally remains a significant challenge in quantum physics.
  • Existing methods often rely on complex theoretical frameworks or are difficult to implement in practice.

Purpose of the Study:

  • To develop a novel, experimentally accessible measure for quantifying quantum entanglement.
  • To establish a theoretical bound for the product of projections onto locally orthogonal separable states.
  • To demonstrate the application of this measure in identifying genuine multipartite entanglement.

Main Methods:

  • Analysis of the product of projections of a pure state onto a set of locally orthogonal separable pure states.
  • Derivation of a bound analogous to entropic uncertainty relations.
  • Saturation of the bound for maximally entangled states in bipartite systems.

Main Results:

  • A new family of entanglement measures, termed 'collectibility', was constructed.
  • Collectibility is shown to be experimentally accessible.
  • The method successfully identifies genuine three-party entanglement in three-qubit systems.

Conclusions:

  • The developed collectibility measure offers a practical approach for experimental quantification of quantum entanglement.
  • This work provides a new tool for characterizing entanglement in both bipartite and multipartite quantum systems.
  • The findings contribute to advancing the experimental verification and utilization of quantum entanglement.