Quantum expanders and the quantum entropy difference problem
量子物理
2007-05-23 v3
摘要
We define quantum expanders in a natural way. We show that under certain conditions classical expander constructions generalize to the quantum setting, and in particular so does the Lubotzky, Philips and Sarnak construction of Ramanujan expanders from Cayley graphs of the group PGL. We show that this definition is exactly what is needed for characterizing the complexity of estimating quantum entropies.
关键词
引用
@article{arxiv.quant-ph/0702129,
title = {Quantum expanders and the quantum entropy difference problem},
author = {Avraham Ben-Aroya and Amnon Ta-Shma},
journal= {arXiv preprint arXiv:quant-ph/0702129},
year = {2007}
}
备注
30 pages, 1 figure