Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
bayhaqi:423Abū Naṣr b. Qatādah > Abū Manṣūr al-Naḍrawī al-Harawī > Aḥmad b. Najdah > Saʿīd b. Manṣūr > Khālid b. ʿAbdullāh > ʿĀmir b. al-Simṭ > Abū al-Gharīf > ʿAlī

[Machine] It is okay to read the Quran without ablution. As for when you are in a state of major ritual impurity, then not a single letter should be uttered.  

البيهقي:٤٢٣وَأَخْبَرَنَا أَبُو نَصْرِ بْنُ قَتَادَةَ أنا أَبُو مَنْصُورٍ النَّضْرَوِيُّ الْهَرَوِيُّ نا أَحْمَدُ بْنُ نَجْدَةَ نا سَعِيدُ بْنُ مَنْصُورٍ نا خَالِدُ بْنُ عَبْدِ اللهِ عَنْ عَامِرِ بْنِ السِّمْطِ عَنْ أَبِي الْغَرِيفِ قَالَ قَالَ عَلِيٌّ ؓ

لَا بَأْسَ أَنْ تَقْرَأَ الْقُرْآنَ وَأَنْتَ عَلَى غَيْرِ وُضُوءٍ فَأَمَّا وَأَنْتَ جُنُبٌ فَلَا وَلَا حَرْفًا