Fast Quantum Gates with Electric Field Pulses and Optical Tweezers in Trapped Ions

Area of Science:

• Quantum Computing
• Atomic Physics
• Quantum Information Science

Background:

• Trapped ions are leading candidates for quantum computing architectures.
• Efficient and high-fidelity two-qubit gates are crucial for scalable quantum computation.
• Existing methods for trapped-ion gates face challenges in speed and scalability.

Purpose of the Study:

• To propose a novel two-qubit phase gate for trapped-ion quantum computers.
• To achieve gate operations within tens of microseconds.
• To investigate the scalability of the proposed gate design.

Main Methods:

• Utilizing fast electric field pulses and optical tweezers to create spin-dependent local traps.
• Engineering quantum phases through spin-dependent coherent evolution.
• Incorporating momentum kicks to precisely control ion trajectories and interactions.

Main Results:

• Derived commensurability conditions and expressions for spin-dependent phase accumulation.
• Demonstrated the feasibility of the two-qubit phase gate within tens of microseconds.
• Showcased scalability for systems with up to four ions in larger crystals.

Conclusions:

• The proposed method offers a fast and efficient route to implementing two-qubit phase gates in trapped ions.
• Scalability to larger ion crystals is feasible, though it requires fulfilling additional commensurability conditions.
• This work contributes to the development of practical and scalable trapped-ion quantum computers.