Quantum error correction

A cross-referenced encyclopedia of classical and quantum error-correcting codes, each with properties, decoders and references. Indispensable once you are past the textbook codes.

The clearest short introduction to the stabiliser formalism, written by the person who invented it. Read this before attempting the surface code literature.

Universally called "Mike & Ike" and still the field's reference text after two decades. Comprehensive rather than gentle — use it as the book you look things up in, not the one you read cover to cover first.

You cannot copy an unknown quantum state. The one-line proof is genuinely accessible, and this single fact explains teleportation, QKD security and why error correction is hard.

Nature’s open-access quantum information journal, strong on experimental hardware and error correction results.

Preskill's notes have taught much of the field. Chapter 10 on quantum error correction is, for many researchers, the definitive introduction to the subject.

The standard fast decoder for surface codes, and the natural companion to Stim. Together they let you run realistic threshold simulations on a laptop.

Coding tutorials, seminar talks and the complete recordings of the Qiskit Global Summer Schools — which are effectively free graduate-level lecture series on algorithms and error correction.

The first convincing demonstration that adding more physical qubits made the logical qubit better rather than worse. Arguably the most important experimental result of the decade so far.

Simulates million-qubit stabiliser circuits in seconds, which is what makes modern error-correction research computationally possible. The tutorial notebooks double as a surface-code course.

The standard reference on surface codes, written as a tutorial rather than a terse paper. Where every industrial fault-tolerance roadmap ultimately points.