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Yeah this quantum memory is a passive memory, as opposed to active error correction, which is perhaps more akin to the DRAM side of things. The active error correction is what google etc. are working on right now. It's not clear if passive quantum memories will ever be built, or as i said, if they even can be theoretically built.

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Cool, that's what I was trying to find out from you. Is this [Quantum Error Correction for Quantum Memories](https://arxiv.org/abs/1302.3428) from 2013, rev. 2015 by Barbara M. Terhal representative of the state of the art?

Yes this looks like a good reference.

I know people have been looking into MBL and quantum memories, the problem seems to be that symmetries you'd need for topological phases either wreck MBL (beyond like SU(2)) or are the result of some quantum integrability (which also is not good for MBL)

source: my advisor works on passive error correction

Very interesting! I had to look at some of your other comments to find out that MBL is "many-body localization" which i've heard of but know very little about.

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