Encoded-Fusion-Based Quantum Computation for High Thresholds with Linear Optics

Area of Science:

• Quantum Information Science
• Quantum Computing
• Quantum Error Correction

Background:

• Measurement-based quantum computation requires robust methods for entanglement manipulation.
• Existing fusion schemes struggle with losses and errors, limiting scalability.
• Quantum error-correcting codes are crucial for building reliable quantum computers.

Purpose of the Study:

• To propose a novel fault-tolerant quantum computation scheme.
• To enhance the success probability of quantum fusion operations.
• To enable efficient quantum computing with finite resources.

Main Methods:

• Development of an encoded-fusion scheme using linear optics and quantum error correction.
• Implementation of the generalized Shor code within a 3D Raussendorf-Harrington-Goyal lattice.
• Numerical simulations to evaluate performance under loss and error conditions.

Main Results:

• Achieved up to 10 times higher loss thresholds compared to non-encoded fusion.
• Demonstrated successful fault-tolerant network configuration using the surface code.
• Showcased the effectiveness of encoded fusion with limited photon counts.

Conclusions:

• The proposed encoded-fusion scheme offers an efficient route to fault-tolerant quantum computing.
• Finite-sized entangled states and linear optics can be utilized effectively.
• This method significantly improves resilience against photon loss and operational errors.