Catalysis and activation of magic states in fault tolerant architectures
Abstract
In many architectures for fault tolerant quantum computing universality is achieved by a combination of Clifford group unitary operators and preparation of suitable nonstabilizer states, the so-called magic states. Universality is possible even for some fairly noisy nonstabilizer states, as distillation can convert many noisy copies into fewer purer magic states. Here we propose novel protocols that exploit multiple species of magic states in surprising ways. These protocols provide examples of previously unobserved phenomena that are analogous to catalysis and activation well known in entanglement theory.
Keywords
Cite
@article{arxiv.1010.0104,
title = {Catalysis and activation of magic states in fault tolerant architectures},
author = {Earl T. Campbell},
journal= {arXiv preprint arXiv:1010.0104},
year = {2011}
}
Comments
A feature talk at QIP 2011, video available at http://qip2011.quantumlah.org/scientificprogramme/movie.php?id=1010.0104 V2:The no-go proof for the transformation without the aid of a catalyst is presented in a much more general way that can be used to demonstrate many other no-go results. These changes are mostly in appendix A and B. Some additional changes