🤭 aw shucks... (Cheque's in the mail 😏)

Tensor Network Decoding Beyond 2D Decoding algorithms based on approximate tensor network contraction have proven tremendously successful in decoding 2D local quantum codes such as surface/toric codes and color codes, effectively...

Shout out to @joerenes.bsky.social and Christophe Piveteau (who did all the work 🙂).

Paper available at: arxiv.org/abs/2310.10722
Code available at: github.com/ChriPiv/tnde... Thanks!

While the circuit-level results are still at the proof-of-principle stage, we hope performance can be significantly improved in future work. To give you a sense of the difficult, here is the eldritch horror that is the TN which corresponds to d=5 circuit-level noise

As well as improvements in the thresholds, we see significant improvements in the logical error rates for all four setups considered.

Going to 3D TNs allow us to decode 3D codes such as the 3D surface code. It also lets us decode noisy 2D codes, such as the toric code under phenomenological noise, or even full-on circuit-level noise. For all but circuit noise, our decoder gives state-of-the-art thresholds.

In this paper we show how to extend the tensor network decoding techniques I developed in my last paper to 3D. The core of this is an extension of the sweep-line contraction scheme to 3D. See this thread for an explanation of the previous 2D approach twitter.com/QuantumChubb...

Tensor Network Decoding Beyond 2D Decoding algorithms based on approximate tensor network contraction have proven tremendously successful in decoding 2D local quantum codes such as surface/toric codes and color codes, effectively achi

Do you want to correct a quantum code? Do you like tensor networks? Do you live in 3D? Well I have the paper for you! scirate.com/arxiv/2310.1...

Preparing quantum info lecture notes Broke: Handwritten Woke: LaTeX Bespoke: [picture of Mike and Ike scented crayons]

Fair coins tend to land on the same side they started: Evidence... Many people have flipped coins but few have stopped to ponder the statistical and physical intricacies of the process. In a preregistered study we collected 350,757 coin flips to test the...

350,757 Flips, author ordering by how many coins they flipped.

arxiv.org/abs/2310.04153

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