Effective non-adiabatic holonomic quantum computation of cavity modes via invariant-based reverse engineering

Area of Science:

• Quantum Information Science
• Quantum Optics
• Cavity Quantum Electrodynamics

Background:

• Non-adiabatic holonomic quantum computation (NHQC) offers a potential pathway for fast and robust quantum operations.
• Cavity quantum electrodynamics (CQED) systems provide a promising platform for implementing quantum computation with optical qubits.

Purpose of the Study:

• To propose and theoretically investigate a protocol for realizing NHQC of cavity modes.
• To enhance the robustness of quantum computation against systematic errors and environmental noise.

Main Methods:

• Utilizing invariant-based reverse engineering to determine optimal evolution paths for NHQC.
• Coupling cavity modes with an auxiliary atom and employing laser pulses to derive effective Hamiltonians.
• Implementing systematic-error-sensitivity nullified optimal control for parameter selection.

Main Results:

• The proposed protocol successfully implements NHQC for cavity modes.
• The protocol demonstrates significant robustness against systematic errors in laser pulses.
• Numerical simulations confirm the protocol's resilience to random noise and decoherence.

Conclusions:

• The developed protocol offers a viable method for robust NHQC in CQED systems.
• This work provides valuable insights for advancing quantum computation using optical qubits.
• The approach may be extendable to other quantum computing architectures.