Never-Repeating Tiles Can Safeguard Quantum Information

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A recent study has revealed a significant link between aperiodic tilings and quantum information theory, specifically in the context of quantum error correction. Researchers have demonstrated that Penrose tilings can be transformed into a novel type of quantum error-correcting code, which could enhance the reliability of future quantum computers. Additionally, similar codes were developed based on other forms of aperiodic tiling. This connection opens new avenues for safeguarding quantum information against errors, highlighting the interdisciplinary nature of mathematics and computer science. The implications of these findings may lead to advancements in quantum computing technologies.
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TL;DR Summary
Never-Repeating Tiles Can Safeguard Quantum Information
https://www.quantamagazine.org/never-repeating-tiles-can-safeguard-quantum-information-20240223/

For over half a century, aperiodic tilings have fascinated mathematicians, hobbyists and researchers in many other fields. Now, two physicists have discovered a connection between aperiodic tilings and a seemingly unrelated branch of computer science: the study of how future quantum computers can encode information to shield it from errors. In a paper posted to the preprint server arxiv.org in November, the researchers showed how to transform Penrose tilings into an entirely new type of quantum error-correcting code. They also constructed similar codes based on two other kinds of aperiodic tiling.
 
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jedishrfu said:
TL;DR Summary: Never-Repeating Tiles Can Safeguard Quantum Information

https://www.quantamagazine.org/never-repeating-tiles-can-safeguard-quantum-information-20240223/
Interesting. I haven't read the full article but in an interesting coincidence, I recently read a Scientific American article on tiles - Inside Mathematicians’ Search for the Mysterious ‘Einstein Tile’. While the Penrose tile is made up of two tiles that generate a non-repeatable pattern, an Einstein Tile consists of a single tile. I wonder if they've examined that one. I did see it listed in the Related Articles section of the quantamagazine link - Hobbyist Finds Math’s Elusive ‘Einstein’ Tile.
 
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