Quantum photonic gates with two-dimensional random walkers.

Area of Science:

• Quantum Information Science
• Photonics
• Quantum Computing

Background:

• Implementing quantum gates on photonic platforms is challenging due to photon propagation and interference.
• Photonic quantum computation requires efficient and high-fidelity quantum gates.

Purpose of the Study:

• To propose and analyze novel quantum photonic gates using continuous time two-dimensional random walking photons.
• To demonstrate the feasibility of implementing single-qubit (X-gate) and multi-qubit (C-NOT gate) gates.
• To investigate the performance and spatial correlations of these random walking photon gates.

Main Methods:

• Utilizing inverse design for gate implementation in a silicon host medium with silicon dioxide scatterers.
• Employing continuous time two-dimensional random walking photons.
• Analyzing gate fidelity and quantum correlations using the quantum correlation function.

Main Results:

• Demonstrated high-fidelity probabilistic quantum gates, including C-NOT and X-gates.
• Characterized non-trivial spatial correlations of random walking photons.
• Validated the potential for photonic elements in quantum computation schemes.

Conclusions:

• The proposed quantum photonic gates offer a promising approach for linear optics quantum computation.
• Further research is needed to address error correction for practical applications.
• This work contributes to the advancement of practical photonic quantum computing elements.