Preparation of Entangled States through Hilbert Space Engineering

Area of Science:

• Quantum Information Science
• Atomic Physics
• Quantum Computing

Background:

• Quantum entanglement is crucial for quantum computing and information processing.
• Trapped atomic ions are promising qubits for quantum technologies.
• Previous methods for entanglement generation in trapped ions faced challenges with imperfections.

Purpose of the Study:

• To prepare entangled states of two and three trapped atomic ions.
• To utilize quantum Zeno dynamics for controlled quantum state preparation.
• To assess the fidelity and robustness of the entanglement generation method.

Main Methods:

• Applying laser fields to trapped atomic ions to control quantum dynamics.
• Using a global microwave field to drive transitions between an initial product state and a target entangled state.
• Implementing the quantum Zeno effect to constrain quantum evolution.

Main Results:

• Successfully prepared entangled states of two and three trapped ^{9}Be^{+} ions.
• Achieved high Bell state fidelities (up to 0.990) for two ions.
• Obtained a W-state fidelity of 0.910 for three ions.

Conclusions:

• Quantum Zeno dynamics provides an effective method for preparing entangled states in trapped ions.
• The developed procedure demonstrates high fidelity entanglement generation.
• This approach exhibits relative insensitivity to laser intensity fluctuations, enhancing its practical applicability.