Chapter 11 - Hybrid Methods of Quantum Error Prevention

Introduction

One of the first proposals for combining error prevention methods was due to D.A. Lidar, D. Bacon, K.B. Whaley, Phys. Rev. Lett. 82 (1999) 4556-4559. However, a great deal more work has been done since that time to provide methods for combining these seemingly very different methods of error prevention -- quantum error correcting codes, decoherence-free/noiseless subspaces, and dynamical decoupling controls. In this chapter a few general guiding principles are provided for combining these error prevention methods in to hybrid methods of error prevention. Beyond that, a few very specific examples are given which are promising for error prevention and control of quantum system for quantum information processing.