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Related Experiment Video

Updated: May 14, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
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Published on: November 11, 2013

Discording power of quantum evolutions.

Fernando Galve1, Francesco Plastina, Matteo G A Paris

  • 1IFISC, UIB-CSIC, Instituto de Física Interdisciplinar y Sistemas Complejos, UIB Campus, E-07122 Palma de Mallorca, Spain.

Physical Review Letters
|February 7, 2013
PubMed
Summary

We introduce discording power to measure how well quantum gates create quantum discord. Certain gates, like sqrt[SWAP], perfectly generate discord for all purity levels, unlike CNOT gates.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing

Background:

  • Quantum discord quantifies non-classical correlations beyond entanglement.
  • Understanding the creation of quantum discord by quantum gates is crucial for quantum information processing.

Purpose of the Study:

  • Introduce and analyze the 'discording power' of unitary transformations.
  • Assess the capability of two-qubit gates to generate quantum discord.
  • Generalize entanglement measures to arbitrary purity values.

Main Methods:

  • Utilize the Cartan decomposition of two-qubit unitaries.
  • Evaluate maximum achievable discord on classical-classical states at fixed purity.
  • Analyze specific two-qubit gates, including CNOT and sqrt[SWAP].

Main Results:

  • Identify 'perfect discorders'—gates that generate maximum discord across all purity levels.
  • Demonstrate that sqrt[SWAP] and related gates are perfect discorders.
  • Show that CNOT gates are perfect discorders only for low or unit purity, not intermediate values.
  • Establish discording power as a generalization of entanglement measures.

Conclusions:

  • Discording power provides a robust measure for quantifying discord generation by quantum gates.
  • Gate-dependent properties significantly influence their ability to create quantum discord.
  • The findings offer insights into designing quantum gates for specific quantum information tasks.