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Gradient Echo Quantum Memory in Warm Atomic Vapor
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Evolution equation for quantum coherence.

Ming-Liang Hu1, Heng Fan2,3

  • 1School of Science, Xi'an University of Posts and Telecommunications, Xi'an 710121, China.

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Summary
This summary is machine-generated.

We introduce a framework to study coherence evolution in open quantum systems. This framework proves a factorization relation for the l1 norm of coherence, enabling permanent freezing under specific quantum channel conditions.

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Area of Science:

  • Quantum Information Science
  • Open Quantum Systems
  • Quantum Coherence

Background:

  • Estimating decoherence in open quantum systems is crucial for quantum information processing.
  • Coherence evolution can be simplified if it follows specific mathematical relations.

Purpose of the Study:

  • To introduce a general framework for analyzing coherence evolution equations.
  • To establish a factorization relation (FR) for the l1 norm of coherence.
  • To identify conditions for permanently freezing coherence.

Main Methods:

  • Development of a theoretical framework for coherence evolution.
  • Mathematical proof of a factorization relation for the l1 norm of coherence.
  • Analysis of quantum channel properties supporting the factorization relation.

Main Results:

  • A novel factorization relation (FR) for the l1 norm of coherence is proven.
  • Specific sets of quantum channels that satisfy this FR are identified.
  • Conditions for permanently freezing the l1 norm of coherence are determined.

Conclusions:

  • The factorization relation is shown to be universal, applying to various coherence and quantum correlation measures.
  • The framework provides a powerful tool for understanding and controlling decoherence.
  • This research advances the theoretical understanding of open quantum systems and their practical implications.