Quantum Error Correction and Orthogonal Geometry

作者：A.R. Calderbank, Eric M. Rains, Peter W. Shor, Neil J.A. Sloane · 发表于：Physical Review Letters · 年份：1997 · DOI：10.1103/physrevlett.78.405 · 被引用次数：840 · 研究领域：Quantum Computing Algorithms and Architecture、Quantum Information and Cryptography、Quantum-Dot Cellular Automata

A group theoretic framework is introduced that simplifies the description of known quantum error-correcting codes and greatly facilitates the construction of new examples. Codes are given which map 3 qubits to 8 qubits correcting 1 error, 4 to 10 qubits correcting 1 error, 1 to 13 qubits correcting 2 errors, and 1 to 29 qubits correcting 5 errors.