Theory of fault-tolerant quantum computation

作者：Daniel Gottesman · 发表于：Physical Review A · 年份：1998 · DOI：10.1103/physreva.57.127 · 被引用次数：987 · 研究领域：Quantum Computing Algorithms and Architecture、Quantum Information and Cryptography、Quantum Mechanics and Applications

In order to use quantum error-correcting codes to improve the performance of a quantum computer, it is necessary to be able to perform operations fault-tolerantly on encoded states. I present a theory of fault-tolerant operations on stabilizer codes based on symmetries of the code stabilizer. This allows a straightforward determination of which operations can be performed fault-tolerantly on a given code. I demonstrate that fault-tolerant universal computation is possible for any stabilizer code. I discuss a number of examples in more detail, including the five-quantum-bit code.