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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Quantum Discord for d⊗2 Systems.

Zhihao Ma1, Zhihua Chen2, Felipe Fernandes Fanchini3

  • 11] Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, China [2] Department of Physics and Astronomy, University College London, WC1E 6BT London, United Kingdom.

Scientific Reports
|June 4, 2015
PubMed
Summary

We derived an analytical solution for classical correlation and quantum discord, establishing a tight upper bound for d⊗2 systems. This method accurately calculates quantum discord for complex quantum states under noisy conditions.

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Area of Science:

  • Quantum Information Theory
  • Quantum Computing
  • Quantum Mechanics

Background:

  • Classical correlation and quantum discord are key measures of quantum correlations.
  • Understanding these correlations is crucial for quantum information processing and quantum computing.
  • Existing methods for calculating quantum discord can be computationally intensive.

Purpose of the Study:

  • To develop an analytical solution for classical correlation using linear entropy.
  • To establish a tight upper bound for quantum discord in arbitrary d⊗2 systems.
  • To provide a method for calculating quantum discord in n-qubit GHZ and W states under noisy channels.

Main Methods:

  • Analytical solution for classical correlation based on linear entropy.
  • Utilizing optimal measurements for classical correlation maximization to bound quantum discord.
  • Numerical comparison with random two-qubit density matrices.
  • Application to n-qubit GHZ and W states under amplitude damping.

Main Results:

  • An analytical solution for classical correlation is presented.
  • A tight upper bound for quantum discord in d⊗2 systems is derived.
  • The derived bound shows excellent agreement with known analytical and numerical results (average deviation of 10⁻⁴).
  • A method to calculate quantum discord for specific multi-qubit states under noise is provided.

Conclusions:

  • The study provides an efficient analytical approach to quantifying quantum correlations.
  • The derived upper bound offers a practical tool for estimating quantum discord.
  • The findings facilitate the study of quantum correlations in complex quantum systems and noisy environments.