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Nonlocality in quantum cloning states.

Jun Liu1,2,3, Zhiwen Mo4

  • 1School of Mathematics and Information, China West Normal University, Nanchong, 637002, People's Republic of China. liujun8476@163.com.

Scientific Reports
|July 2, 2025
PubMed
Summary
This summary is machine-generated.

This study explores quantum cloning machine outputs, finding reduced states suitable for teleportation but lacking Bell-CHSH inequality violations. It also details monogamy relations for nonlocality in cloned quantum systems.

Keywords:
Bell-CHSH inequalityNonlocalityQuantum teleportation

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Area of Science:

  • Quantum Information Science
  • Quantum Communication
  • Quantum Foundations

Background:

  • Quantum cloning machines generate multiple copies of quantum states.
  • Nonlocality, quantified by Bell-CHSH inequality violations, is a key quantum resource.
  • Quantum teleportation protocols utilize entangled states for information transfer.

Purpose of the Study:

  • To investigate the nonlocality of states produced by a universal quantum cloning machine.
  • To determine if reduced states of cloned outputs can violate the Bell-CHSH inequality.
  • To analyze the suitability of these states for quantum teleportation and their monogamy relations.

Main Methods:

  • Systematic analysis of output states from a universal quantum cloning machine.
  • Examination of two-qubit reduced states for Bell-CHSH inequality violations.
  • Characterization of parameter regimes for teleportation suitability.
  • Quantitative analysis of monogamy relations for Bell-CHSH violations.

Main Results:

  • Identified parameter regimes where reduced states are suitable for quantum teleportation.
  • Demonstrated that these suitable states do not exhibit Bell-CHSH inequality violations.
  • Quantitatively characterized monogamy relations for Bell-CHSH violations in cloned states.

Conclusions:

  • Reduced states from quantum cloning machines can serve as quantum channels for teleportation under specific conditions.
  • Nonlocality, as measured by Bell-CHSH violations, is constrained in cloned quantum systems.
  • The study reveals fundamental limits on distributing nonlocality in quantum cloning processes.