Testing a quantum error-correcting code on various platforms.

Area of Science:

• Quantum Information Science
• Quantum Computing
• Quantum Error Correction

Background:

• Quantum error correction is crucial for fault-tolerant quantum computation.
• Experimental realization is challenging due to high qubit and gate fidelity requirements.
• Detected amplitude damping is a common noise channel in quantum systems.

Purpose of the Study:

• To propose and experimentally demonstrate a simple quantum error-correcting code for the detected amplitude damping channel.
• To investigate the performance of this code on various quantum information processing platforms.
• To highlight the practical advantage of quantum error correction in current noisy quantum systems.

Main Methods:

• Development of a two-qubit quantum error-correcting code.
• Experimental implementation of encoding, channel simulation, and recovery operations.
• Testing on an optical platform, the IBM Quantum Experience, and a nuclear magnetic resonance system.

Main Results:

• The proposed quantum error correction code effectively combats detected amplitude damping.
• An error correction advantage was observed across all tested platforms above a specific damping rate threshold.
• Comparative analysis of system features and performance was conducted.

Conclusions:

• A simple, two-qubit quantum error correction code offers practical advantages against amplitude damping.
• The experimental validation on diverse platforms demonstrates the code's robustness and applicability.
• Quantum error correction is beneficial for current quantum computing technologies, especially under significant noise.