see also this nice work on a similar topic arxiv.org/abs/2605.28794
Dom Williamson
Towards the end of my PhD, quite a while ago, I was working on extracting the symmetry-enriched topological order that occurs when the gauge charges of a finite group are condensed in a topological phase of matter.
In our new work we propose that after a general condensation in a topological phase the resulting topological order is enriched by a noninvertible symmetry hypergroup.
Thanks to Lea, Clement, Ed, and Campbell for the fun collaboration.
@universal-soup.bsky.social
Excited to share our new work led by fantastic undergraduate research student Cassie Hopkin.
We show that many translation invariant qLDPC codes can be viewed as compactifications of a single parent fracton code that is local in a higher dimension.
arxiv.org/abs/2605.19298
@vva.bsky.social
Curiously, a similar calculation could be done for general condensations that were not related to finite groups. But it was unclear if one could make sense of symmetry-enrichment in the absence of a finite group... Until now.
arxiv.org/abs/2605.28688
Very excited to explore new roads to fault-tolerant photonic quantum computation with PsiQuantum!
rms.arc.gov.au/RMS/Report/D...
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@sydney.edu.au
@psiquantum.bsky.social
@bartlettquantum.bsky.social
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Freshly published in Quantum: Wire Codes by Nouédyn Baspin and Dominic Williamson doi.org/10.22331/q-2...
The ARC Centre of Excellence in #Mathematics for #Quantum Era Security and Trust (MathQuEST) is hiring a Chief Operating Officer! 3+ years, based in #Sydney.
Or, more succinctly: "we're planning a COO!"
Details: usyd.wd105.myworkdayjobs.com/en-GB/USYD_E...
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Quantum error-correcting codes with translation symmetry and local checks have been studied extensively, leading to a wide variety of fracton codes in three or more dimensions which lack a complete un...