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Locking classical correlations in quantum States.

David P DiVincenzo1, Michał Horodecki, Debbie W Leung

  • 1IBM Watson Research Center, P.O. Box 218, Yorktown Heights, New York 10598, USA.

Physical Review Letters
|March 5, 2004
PubMed
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Certain bipartite quantum states unlock significant classical correlations with minimal communication. A single bit can double mutual information, a feat impossible classically, even without entanglement.

Area of Science:

  • Quantum information science
  • Quantum correlations
  • Classical communication

Background:

  • Classical correlations are limited by information theory.
  • Quantum mechanics allows for correlations beyond classical understanding.
  • Entanglement is a key quantum resource, but not always necessary for quantum advantage.

Purpose of the Study:

  • To demonstrate quantum states with large locked classical correlations.
  • To show these correlations can be unlocked by minimal classical communication.
  • To investigate the role of entanglement in this phenomenon.

Main Methods:

  • Analysis of bipartite quantum states.
  • Quantification of classical mutual information.
  • Investigation of classical communication protocols.

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Main Results:

  • Existence of (2n+1)-qubit states where one classical bit doubles mutual information from n/2 to n bits.
  • Demonstration that this phenomenon does not require entanglement.
  • Characterization of the range and magnitude of these states.

Conclusions:

  • Quantum mechanics enables correlations and communication advantages impossible classically.
  • Entanglement is not a prerequisite for unlocking significant classical correlations.
  • This work opens avenues for exploring non-classical correlations in quantum information processing.