Topological Quantum Distillation

Abstract

We construct a class of topological quantum codes to perform quantum entanglement distillation. These codes implement the whole Clifford group of unitary operations in a fully topological manner and without selective addressing of qubits. This allows us to extend their application also to quantum teleportation, dense coding and computation with magic states.

RevTex4 file, 4 pages, 4 figures

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• Quantum Error Source and Channel Coding
• A note on the minimum distance of quantum LDPC codes
• Error Resilience of Fracton Codes and Near Saturation of Code-Capacity Threshold in Three Dimensions
• Work-sharing of qubits in topological error corrections
• From Quantum Optics to Quantum Technologies
• Lattice Surgery for Dummies
• Scalable Simulation of Fermionic Encoding Performance on Noisy Quantum Computers
• Nontraditional Deterministic Remote State Preparation Using a Non-Maximally Entangled Channel without Additional Quantum Resources
• Z-States Algebra for a Tunable Multi-Party Entanglement-Distillation Protocol
• Topological approach toward quantum codes with realistic physical constraints
• On the interpretability of neural network decoders
• Ion-Trap Chip Architecture Optimized for Implementation of Quantum Error-Correcting Code