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 …

The classification and characterization of topological phases of matter is well understood for
ground states of gapped Hamiltonians that are well isolated from the environment. However …

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 general framework for studying two-dimensional (2D) topologically ordered
states subject to local correlated errors and show that the resulting mixed state can display …

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 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 …

Abstract Recently, Hastings & Haah introduced a quantum memory defined on the
honeycomb lattice. Remarkably, this honeycomb code assembles weight-six parity checks …

Noise dominates every aspect of near-term quantum computers, rendering it exceedingly
difficult to carry out even small computations. In this paper we are concerned with the …

Floquet codes are a novel class of quantum error-correcting codes with dynamically
generated logical qubits arising from a periodic schedule of noncommuting measurements …