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

Quantum error correction (QEC) and fault-tolerant quantum computation represent one of
the most vital theoretical aspects of quantum information processing. It was well known from …

A bstract We propose a family of exactly solvable toy models for the AdS/CFT
correspondence based on a novel construction of quantum error-correcting codes with a …

I argue that a version of the quantum-corrected Ryu–Takayanagi formula holds in any
quantum error-correcting code. I present this result as a series of theorems of increasing …

Bosonic rotation codes, introduced here, are a broad class of bosonic error-correcting codes
based on phase-space rotation symmetry. We present a universal quantum computing …

A thorough exposition of quantum computing and the underlying concepts of quantum
physics, with explanations of the relevant mathematics and numerous examples. The …

Entanglement-assisted quantum error correcting codes (EAQECCs) are a simple and
fundamental class of codes. They allow for the construction of quantum codes from classical …

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

Quantum error correction (QEC) codes protect quantum information from errors due to
decoherence. Many of them also serve as prototypical models for exotic topological …

The most general method for encoding quantum information is not to encode the information
into a subspace of a Hilbert space, but to encode information into a subsystem of a Hilbert …