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Quantum Error Correcting Codes

All articles tagged with #quantum error correcting codes

science-and-technology1 year ago

"Utilizing Non-Repeating Tile Patterns for Quantum Information Security"

Physicists have discovered a connection between aperiodic tilings and quantum error-correcting codes, showing how to transform Penrose tilings into a new type of quantum error-correcting code. These codes can safeguard quantum information from errors and are based on the concept of local indistinguishability, which is shared by both aperiodic tilings and quantum error-correcting codes. While the practicality of these tiling-based codes is still uncertain, the discovery has opened up new avenues for research in quantum computing, mathematics, and physics.

quantum-computing1 year ago

"Protecting Quantum Information with Non-Repeating Tiles"

Quantum error-correcting codes, first discovered by Peter Shor in 1995, distribute quantum information across many qubits to prevent errors from derailing computations. These codes can absorb errors and reverse them using established procedures specific to each code. Zhi Li and Latham Boyle discovered a connection between quantum error correction and aperiodic tilings, leading to the possibility of building a quantum error-correcting code based on a class of aperiodic tilings. They started with Penrose tilings and identified tiling configurations that wouldn't be affected by localized errors, similar to virtual qubit states in ordinary quantum error-correcting codes.