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 …

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 …

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 …

In the past year many developments have taken place in the area of quantum error
corrections. Recently Shor showed how to perform fault tolerant quantum computation …

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 …

The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …

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

The surface code is currently the leading proposal to achieve fault-tolerant quantum
computation. Among its strengths are the plethora of known ways in which fault-tolerant …

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