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Researchers developed a quantum control method to deterministically create entangled harmonic oscillator states in trapped ions. This technique successfully generated continuous-variable entanglement, verified by violating Bell

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Area of Science:

  • Quantum Information Science
  • Atomic Physics
  • Quantum Optics

Background:

  • Deterministic preparation of entangled states is crucial for quantum information processing.
  • Trapped ions offer a robust platform for studying quantum phenomena.
  • Continuous-variable (CV) entanglement in harmonic oscillators is a key resource for quantum technologies.

Purpose of the Study:

  • To demonstrate an optimal quantum control strategy for deterministic preparation of entangled harmonic oscillator states.
  • To verify continuous-variable entanglement using established criteria.
  • To showcase the method's flexibility by preparing non-Gaussian entangled states.

Main Methods:

  • Utilized dynamical phase modulation of laser-driven Jaynes-Cummings and anti-Jaynes-Cummings interactions.
  • Prepared two-mode squeezed vacuum states in the motional degrees of freedom of trapped ions.
  • Characterized quantum states using phase-space tomography.

Main Results:

  • Successfully prepared entangled harmonic oscillator states in trapped ions.
  • Verified continuous-variable entanglement with an Einstein-Podolsky-Rosen entanglement parameter of 0.0132(7), surpassing the threshold of 0.25.
  • Performed a continuous-variable Bell test, violating the Clauser-Horne-Shimony-Holt inequality with a measurement of 2.26(3), exceeding the threshold of 2.

Conclusions:

  • The demonstrated quantum control strategy enables deterministic preparation of entangled harmonic oscillator states.
  • The method provides a robust platform for generating and verifying continuous-variable entanglement in trapped ions.
  • The technique's flexibility allows for the creation of non-Gaussian entangled states, expanding quantum state engineering possibilities.