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Quantum correlations and parameter estimation for two superconducting qubits interacting with a quantized field.

K Berrada1,2, S Abdel-Khalek3, M Algarni4

  • 1College of Science, Department of Physics, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia. berradakamal@ymail.com.

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|November 5, 2024
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Summary
This summary is machine-generated.

This study explores quantum entanglement and quantum Fisher information in a system of two superconducting qubits interacting with a quantized field. Researchers analyzed how these quantum properties evolve over time under specific interactions.

Keywords:
EntanglementFidelityIsing interactionKerr mediumLinear entropyParameter estimationSuperconducting qubit

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Area of Science:

  • Quantum physics
  • Quantum information science
  • Condensed matter physics

Background:

  • Superconducting qubits are promising candidates for quantum computing.
  • Understanding quantum interactions is crucial for developing quantum technologies.
  • Kerr nonlinear medium and Ising interactions introduce complex dynamics.

Purpose of the Study:

  • To introduce and analyze a quantum system of two superconducting qubits interacting with a quantized field.
  • To investigate the dynamics of quantumness measures, including entanglement and quantum Fisher information.
  • To explore the interplay between system parameters and quantum properties over time.

Main Methods:

  • Formulation of the quantum model's Hamiltonian.
  • Determination of the density operator for the entire system and subsystems.
  • Examination of the time evolution of quantumness measures.

Main Results:

  • The study successfully formulated the quantum model and its density operator.
  • Dynamics of superconducting qubit-qubit entanglement, superconducting qubit-field entanglement, and quantum Fisher information were analyzed.
  • The relationship among different quantumness measures during time evolution was established.

Conclusions:

  • The research provides insights into the behavior of quantum entanglement and quantum Fisher information in a complex quantum system.
  • The findings contribute to the understanding of quantum dynamics in nonlinear media with Ising interactions.
  • This work lays a foundation for further studies in quantum control and quantum information processing.