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Quantifying the nonclassicality of pure dephasing.

Hong-Bin Chen1,2,3, Ping-Yuan Lo4, Clemens Gneiting5

  • 1Department of Physics, National Cheng Kung University, Tainan, 70101, Taiwan. hongbinchen@phys.ncku.edu.tw.

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Summary
This summary is machine-generated.

This study introduces a framework to detect and quantify nonclassical traits in pure dephasing dynamics. It provides a method to distinguish quantum behaviors from classical simulations, applicable to current quantum experiments.

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Area of Science:

  • Quantum Information Theory
  • Quantum Foundations

Background:

  • Characterizing quantumness using classical strategies is a central problem in quantum theory.
  • Dephasing processes, arising from system-environment interactions, are crucial for understanding the quantum-to-classical transition.
  • Dephasing dynamics can exhibit nonclassical features depending on system-environment correlations.

Purpose of the Study:

  • Establish a framework for detecting and quantifying nonclassicality in pure dephasing dynamics.
  • Develop methods to distinguish quantum dephasing from classical simulations using Hamiltonian ensembles.
  • Provide a constructive approach to determine the canonical representation of Hamiltonian ensembles.

Main Methods:

  • Demonstrate the uniqueness of the canonical representation for Hamiltonian ensembles.
  • Present a constructive method for determining Hamiltonian ensembles.
  • Apply the framework to analyze pure dephasing in qubits, qutrits, and qubit pairs.

Main Results:

  • A unique canonical representation for Hamiltonian ensembles is established.
  • A constructive method to determine these ensembles is presented.
  • The framework is illustrated for various quantum systems, including multi-qubit states.

Conclusions:

  • The developed framework enables the detection and quantification of nonclassicality in pure dephasing.
  • The method provides a clear distinction between quantum dynamics and classical simulation strategies.
  • The approach is experimentally feasible using quantum process tomography, making it relevant for current quantum technologies.