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

A practical quantum computer must not merely store information, but also process it. To
prevent errors introduced by noise from multiplying and spreading, a fault-tolerant …

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

We develop a layered quantum-computer architecture, which is a systematic framework for
tackling the individual challenges of develo** a quantum computer while constructing a …

A long-standing open question about Gaussian continuous-variable cluster states is whether
they enable fault-tolerant measurement-based quantum computation. The answer is yes …

The result of a lecture series, this textbook is oriented towards students and newcomers to
the field and discusses theoretical foundations as well as experimental realizations in detail …

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 …

Magic state distillation is one of the leading candidates for implementing universal fault-
tolerant logical gates. However, the distillation circuits themselves are not fault-tolerant, so …

Fault-tolerant quantum error correction is a necessity for any quantum architecture destined
to tackle interesting, large-scale problems. Its theoretical formalism has been well founded …