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Quantifying the nonclassicality of operations.

Sebastian Meznaric1, Stephen R Clark2, Animesh Datta1

  • 1Clarendon Laboratory, Department of Physics, University of Oxford, Oxford OX1 3PU, United Kingdom.

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This summary is machine-generated.

We propose a new measure for nonclassicality in quantum operations, quantifying their ability to create and distinguish nonclassical states. This measure offers insights into quantum correlations and quantum discord.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Quantum Foundations

Background:

  • Nonclassical correlations are fundamental to quantum mechanics.
  • Understanding quantum operations is key to harnessing quantum phenomena.
  • Existing measures may not fully capture the nonclassicality of operations.

Purpose of the Study:

  • To propose a novel measure for quantifying the nonclassicality of quantum operations.
  • To analyze the fundamental properties and contributions to this nonclassicality.
  • To connect the measure to established quantum information concepts like quantum discord.

Main Methods:

  • Utilizing relative entropy to quantify the commutativity of quantum operations with dephasing.
  • Decomposing the nonclassicality measure into generating and distinguishing power.
  • Analyzing the implications for quantum communication protocols, specifically superdense coding.

Main Results:

  • A new measure of quantum operation nonclassicality is introduced.
  • Nonclassicality is shown to have two independent components: generating power and distinguishing power.
  • The measure provides an interpretation of quantum discord in terms of channel capacity differences.

Conclusions:

  • The proposed measure offers a comprehensive way to assess the nonclassicality of quantum operations.
  • The independent contributions highlight distinct ways operations can exhibit nonclassical behavior.
  • This work bridges the understanding of quantum operations, correlations, and information-theoretic quantities.