Continuous Error Correction
Quantum Physics
2007-05-23 v1
Abstract
We propose a new approach to study the evolution of a quantum state that is encoded in a system which is continuously subject to the operations required to implement a quantum error correcting code. In the limit of continuous error correction we introduce a Markovian master equation that includes the effects of: a) Hamiltonian evolution, b) errors caused by the interaction with an environment and c) error-correcting operations. The master equation is formally presented for all stabilizer codes and its solution is analyzed for the simplest such code.
Cite
@article{arxiv.quant-ph/9707049,
title = {Continuous Error Correction},
author = {Juan Pablo Paz and Wojciech Hubert Zurek},
journal= {arXiv preprint arXiv:quant-ph/9707049},
year = {2007}
}
Comments
10 pages with 2 figures. Submitted to Proc. Roy. Soc. Lond. A