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Classical information and distillable entanglement

Eisert1, Felbinger, Papadopoulos

  • 1Institut fur Physik, Universitat Potsdam, 14469 Potsdam, Germany.

Physical Review Letters
|October 4, 2000
PubMed
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We found a direct link between lost classical information and entanglement loss in quantum states. This helps quantify entanglement in mixed states and understand quantum channel capacity.

Area of Science:

  • Quantum Information Science
  • Quantum Entanglement Theory

Background:

  • Understanding the relationship between classical information loss and quantum entanglement is crucial for quantum information processing.
  • Quantifying entanglement in mixed states is a fundamental challenge in quantum mechanics.

Purpose of the Study:

  • To establish a quantitative connection between the loss of classical information and the loss of entanglement in quantum states.
  • To identify a class of mixed states with known distillable entanglement.
  • To provide a method for determining the quantum capacity of quantum channels.

Main Methods:

  • Utilizing methods developed for optimal purification of mixed quantum states.
  • Analyzing the relationship between classical information measures and entanglement measures.

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Main Results:

  • A quantitative link has been established between classical information loss and entanglement degradation.
  • A specific class of mixed states with determinable distillable entanglement was identified.
  • The findings provide a basis for calculating the quantum capacity of specific quantum channels.

Conclusions:

  • The study successfully quantifies the trade-off between classical information and entanglement.
  • The developed methods offer practical tools for characterizing quantum states and channels.
  • This research contributes to a deeper understanding of quantum information limits.