Noiseless Quantum Codes

作者：Paolo Zanardi, Mario Rasetti · 发表于：Physical Review Letters · 年份：1997 · 被引用次数：1334 · 研究领域：Quantum Computing Algorithms and Architecture、Quantum Information and Cryptography、Quantum-Dot Cellular Automata

In this paper we study a model quantum register $R$ made of $N$ replicas (cells) of a given finite-dimensional quantum system S. Assuming that all cells are coupled with a common environment with equal strength we show that, for $N$ large enough, in the Hilbert space of $R$ there exists a linear subspace ${C}_{N}$ which is dynamically decoupled from the environment. The states in ${C}_{N}$ evolve unitarily and are therefore decoherence-dissipation free. The space ${C}_{N}$ realizes a noiseless quantum code in which information can be stored, in principle, for an arbitrarily long time without being affected by errors.