Error Correction Zoo

\([[8,3,2]]\) Surface code on a cube An [[8,3,2]] twist-defect surface code whose qubits lie on the vertices of a cube. It is obtained by three-coloring the faces of a cube and placing X, Y, and Z stabilizer generators on each pair of fa...

In closing of #qec2025, we have put up our 1000th code -- the [[8,3,2]] surface code on a cube (aka the Landahl plucky code)! It is a non-CSS code different from the smallest interesting color code. Stabilizer generators are X, Y, or Z strings on the faces. errorcorrectionzoo.org/c/cubic_surf...

Peter Shor receives a small gift on the 30th anniversary of his QEC paper at #QEC2025.

Artist Stewart Smith cools down the participant "qubits" to prepare for decoding the surface code at the QEC Choir interactive art exhibit at @qec2025 at the @yaleqi.bsky.social.

@mjbiercuk.bsky.social and Q-CTRL helping out the #qec2025 conference with performance boosters.

Tutorials begin at QEC2025 at @yaleqi.bsky.social. Here is an artistic rendition of some famous codes at the Google Quantum AI tutorial.

How Can Math Protect Our Data? | Quanta Magazine Mary Wootters discusses how error-correcting codes work, and how they are essential for reliable communication and storage.

In our world of (noisy) data, error correction is everywhere, as Mary Wootters eloquently explains.
www.quantamagazine.org/how-can-math...

We are now at 999 codes. What should be our 1000th? If we pick yours, we will feature you in a post about the code.

Comment, reply, message, and spread the word.

Art, emotion, and quantum error correction Serena Scapagnini, the most recent Yale Quantum Institute artist-in-residence, will headline two events at this month’s International Festival of Arts and Ideas.

Art, emotion, and quantum error correction news.yale.edu/2025/06/18/a...

Clean result on multi-block diagonal transversal gates by @fridaysimon.bsky.social and Shival Dasu that finally cracks open what prodigy Eric Rains was saying before many of us were born. arxiv.org/abs/2507.10519

We mourn the loss of one of the founders of the QEC (Knill-Laflamme) conditions and one of the first to write down the five qubit code (aka the Laflamme code). errorcorrectionzoo.org/c/stab_5_1_3

QEC2025 accepted talks out! qec25.yalepages.org/assets/image... @yaleqi.bsky.social

Ted Yoder summarised the onslaught of qLDPC logic papers (for fixed architectures) from IBM (and others).

I’ve read most/some of these papers but had a few gaps remaining in my understanding before today …

📣 Call for Papers (EXTENDED DEADLINE!) 📣
The deadline for the IEEE BITS Special Issue on Error-Correcting Codes has now been extended by about two weeks. The new deadline for the 3-page "white paper" is now May 2, 2025:
www.itsoc.org/sites/defaul...

Explicit Folded Reed-Solomon and Multiplicity Codes Achieve Relaxed Generalized Singleton Bounds In this paper, we prove that explicit FRS codes and multiplicity codes achieve relaxed generalized Singleton bounds for list size $L\ge1.$ Specifically, we show the following: (1) FRS code of length $...

Huge congratulations to my amazing student Yeyuan Chen (+co-author Zihan Zhang of OSU advised by Zeyu Guo) for being awarded the STOC 2025 Best Student Paper Award! Their monumental result proves that explicit Reed-Solomon codes can correct more errors than previously known:
arxiv.org/abs/2408.15925

The submission deadline for the 2025 IEEE Information Theory Workshop has been extended to ⏰ April 21 AoE.

Information Theorists: submit your work, come present it in beautiful #Sydney!
www.ieee-itw2025.org/call-for-pap... #ITW25

"All learning is error correction." - @navalravikant.bsky.social

Slides from Daniel Gottesman's invited talk at the March Meeting, summarizing some latest work on Floquet and more general dynamical codes. www.cs.umd.edu/~dgottesm/Dy...

We’re excited to share updates ensuring the long-term sustainability of the EC Zoo. To continue delivering great content and improving your experience, we’re introducing a new subscription-based model. Check out our website for more detailed information!

Ben Reichardt summarizes leading platforms at the annual experimental talk @qip2025.bsky.social, this time given by a theorist.

Here are slides for my @qip2025.bsky.social tutorial on quantum error correction. doi.org/10.5281/zeno...

He presents a challenge to make a better color code decoder to avoid grafting color and surface codes.

Important slide comparing magic-state cultivation to distillation by @craiggidney.bsky.social @qip2025.bsky.social.

@fridaysimon.bsky.social made a long-needed database of small quantum codes numbering in the 10s of thousands. qecdb.org/codes/

This is the miracle octad generator (MOG) of Conway and Curtis. It is a kind of treasure map for the S(5,8,24) Steiner system, 24 bit Golay code, the Mathieu group M_24, and much more... (1/?)

wup, the modular forms db now has finite groups !

Submissions for QEC 2025 are now open through March 28.

This will easily be the most exciting conference on quantum error correction yet!

Conference homepage:
qec25.yalepages.org

EasyChair submission page:
easychair.org/my/conferenc...

Tight complex projective two designs might exist!

It was time to split honeycomb tiling from hexagonal/triangular lattice b/c many codes, not just gkp, are defined on each one. This restructured the Analog kingdom because honeycomb is not a lattice and is not even thought of as a sphere packing. github.com/errorcorrect...

Great reference on the role and power of homology in constructing the surface code: notes by Dan Browne. drive.google.com/file/d/1AB0K...

That's a square lattice. The "hexagonal lattice" misnomer is two-fold: first, it's another name for triangular lattice, and second, it's not a lattice by the Conway/Sloane def. But as long as it's clear in the paper --- usually by a figure --- it won't be an issue.