Active quantum error correction using qubit stabilizer codes has emerged as a promising,
but experimentally challenging, engineering program for building a universal quantum …

To use quantum systems for technological applications one first needs to preserve their
coherence for macroscopic time scales, even at finite temperature. Quantum error correction …

Quantum error correction offers a promising path for performing high fidelity quantum
computations. Although fully fault-tolerant executions of algorithms remain unrealized …

In this work we introduce two code families, which we call the heavy-hexagon code and the
heavy-square code. Both code families are implemented by assigning physical data and …

The manipulation of topologically ordered phases of matter to encode and process quantum
information forms the cornerstone of many approaches to fault-tolerant quantum computing …

We propose a new class of error-correcting dynamic codes in two and three dimensions that
has no explicit connection to any parent subsystem code. The two-dimensional code, which …

We present a quantum error correcting code with $\textit {dynamically generated logical
qubits} $. When viewed as a subsystem code, the code has no logical qubits. Nevertheless …

We construct families of Floquet codes derived from color-code tilings of closed hyperbolic
surfaces. These codes have weight-two check operators, a finite encoding rate and can be …

Quantum states are very delicate, so it is likely some sort of quantum error correction will be
necessary to build reliable quantum computers. The theory of quantum error-correcting …

We present a quantum LDPC code family that has distance Ω (N 3/5/polylog (N)) and Θ (N
3/5) logical qubits, where N is the code length. This is the first quantum LDPC code …