Key ideas in quantum error correction

Robert Raussendorf · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · 2012

In this introductory article on the subject of quantum error correction and fault-tolerant quantum computation, we review three important ingredients that enter known constructions for fault-tolerant quantum computation, namely quantum codes, error discretization and transversal quantum gates. Taken together, they provide a ground on which the theory of quantum error correction can be developed and fault-tolerant quantum information protocols can be built.

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