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We introduce concentrated information for tripartite quantum states, unifying entanglement and quantum discord. This metric reveals advantages in mixed state merging, even with classical communication.

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Area of Science:

  • Quantum Information Theory
  • Quantum Communication
  • Entanglement Theory

Background:

  • Understanding multipartite quantum correlations is crucial for quantum information processing.
  • Existing measures like distillable entanglement and quantum discord capture specific aspects of quantum correlations.
  • The role of classical communication in quantum information tasks requires further investigation.

Purpose of the Study:

  • To introduce and define concentrated information for tripartite quantum states.
  • To explore the relationship between concentrated information and other quantum informational primitives.
  • To investigate the application of concentrated information in quantum state merging protocols.

Main Methods:

  • Definition of concentrated information as maximal mutual information via local operations and classical communication (LOCC).
  • Derivation of upper and lower bounds for concentrated information.
  • Asymptotic analysis for pure tripartite states and investigation of mixed state merging.

Main Results:

  • A closed expression for concentrated information is obtained for several classes of states, including pure tripartite states.
  • Distillable entanglement, entanglement of assistance, and quantum discord are shown to be expressible in terms of concentrated information.
  • The gap between classical and quantum concentrated information serves as a figure of merit for mixed state merging without additional entanglement.

Conclusions:

  • Concentrated information acts as a unifying primitive in quantum information theory.
  • Classical communication in both directions offers advantages for mixed state merging, unlike in pure state merging.
  • The study provides new insights into the quantification and operational significance of multipartite quantum correlations.