Geometric Rydberg quantum gate with shortcuts to adiabaticity.

Area of Science:

• Quantum computing
• Atomic physics
• Quantum information science

Background:

• Neutral atom qubits are a promising platform for quantum computation.
• Geometric phases offer a robust method for quantum gate operations.
• Rydberg interactions are crucial for entangling neutral atoms.

Purpose of the Study:

• To propose a novel controlled-PHASE gate for neutral atoms.
• To leverage geometric phases and Rydberg interactions for enhanced gate performance.
• To accelerate gate operations using shortcuts to adiabaticity (STA).

Main Methods:

• Adiabatic evolution of qubit state components along multi-atom eigenstates.
• Chirped laser pulse coupling to Rydberg states.
• Utilizing intrinsic dipole-dipole exchange interactions.
• Implementing shortcuts to adiabaticity (STA) for faster gate operation.

Main Results:

• The proposed geometric Rydberg gate accumulates an interaction-induced geometric phase.
• The STA scheme significantly speeds up the gate operation compared to adiabatic methods.
• The STA scheme demonstrates increased robustness against control parameter variations.
• The method protects against the decay of Rydberg states, improving fidelity.
• An intermediate dipole-dipole interaction strength is sufficient for the scheme.

Conclusions:

• The geometric Rydberg gate offers a fast, robust, and efficient method for controlled-PHASE operations in neutral atom quantum computers.
• Shortcuts to adiabaticity are a viable strategy to overcome limitations of adiabatic gate operations in Rydberg-based systems.
• This approach advances the development of high-fidelity quantum gates for scalable quantum computation.