Graphs may prove key in search for Holy Grail of quantum error correction
Oct 2022, phys.org
It was a serendipitous discovery:
Quantum information is very fragile and prone to errors. You can't check for errors in a quantum system, because the act of checking itself collapses the system.
"The noise is very strong at the quantum scale," says Chapman. "And this makes quantum error correction very difficult."You need some redundancy that allows you to tell if something has happened without knowing the underlying information."There are quantum error correcting codes that are known to be self-healing, but they only work in four dimensions — one more than exists in this world. [right thanks]In the new paper, the researchers showed that some subsystem codes can be represented as a certain kind of graph. [nodes and links]"I had a seemingly unrelated pure mathematics project studying graph spectra," says Kollár, "and we realized that the numerical scripts that I had for that project could easily be modified to compute the energy cost of errors for the kinds of codes that Adrian and his collaborators had been looking at."
via Joint Quantum Institute: Adrian Chapman et al, Free-Fermion Subsystem Codes, PRX Quantum (2022). DOI: 10.1103/PRXQuantum.3.030321
Image credit: Anatoly Fomenko
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