Touching the Quraan without wudhu

How can you say that wudu is required to read Quran (even on a mobile phone), while Allah has mentioned it (wudu) to have to perform salah, not for reading Quran. And our Prophet(sallallahu alaihi wasallam) has told us to be taahir (in purity). Is a Muslim not taahir without wudu. Is it not laying unrequired boundation which keeps millions of believers away from reciting the Quran that really inspires us to stick to the Deen, more than anything can, though I understand that it is better to have wudu always!