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Reveal quantum correlation in complementary bases.

Shengjun Wu1, Zhihao Ma2, Zhihua Chen3

  • 11] Kuang Yaming Honors School, Nanjing Univeresity, Nanjing, Jiangsu 210093, China [2] Department of Modern Physics and the Collaborative Innovation Center for Quantum Information and Quantum Frontiers, University of Science and Technology of China, Hefei, Anhui 230026, China.

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Summary
This summary is machine-generated.

We introduce new measures for quantum correlation, focusing on its presence in complementary bases. This approach quantifies quantum correlations by analyzing residual correlations in mutually unbiased bases for bipartite quantum states.

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Area of Science:

  • Quantum Information Science
  • Quantum Foundations
  • Quantum Information Theory

Background:

  • Quantum correlation is a fundamental resource in quantum information processing.
  • Distinguishing classical from quantum correlations is crucial for understanding quantum mechanics.
  • Existing measures may not fully capture the essence of quantum correlations.

Purpose of the Study:

  • To define and develop novel measures for quantifying quantum correlation.
  • To highlight the essential feature of simultaneous correlation in complementary bases.
  • To provide information-theoretical measures reflecting the true nature of quantum correlations.

Main Methods:

  • Defining measures of quantum correlation based on invariance under basis change.
  • Analyzing bipartite quantum states.
  • Characterizing classical correlation as maximal correlation in an optimal basis.
  • Characterizing quantum correlation through residual correlations in mutually unbiased bases.

Main Results:

  • A new framework for quantifying quantum correlation is established.
  • The proposed measures inherently capture correlation in complementary bases.
  • Classical correlation is identified as the optimal basis correlation.
  • Quantum correlation is revealed as the residual correlation in mutually unbiased bases.

Conclusions:

  • The developed measures offer a more accurate quantification of quantum correlation.
  • The approach provides a deeper understanding of the nature of quantum correlation.
  • This work offers a valuable tool for quantum information science and foundational studies.