Emperor Julian Wants to Restore the Jewish Temple
Ammianus Marcellinus, Res Gestae, XXIII:1
[Julian] ... eager to extend the memory of his reign by great works, he planned at vast cost to restore the once splendid temple at Jerusalem, which after many mortal combats during the siege by Vespasian and later by Titus, had barely been stormed. He had entrusted the speedy performance of this work to Alypius of Antioch... [Rolfe translation-Loeb Classical Library]
... sui memoriam, magnitudine operum gestiens propagare, ambitiosum quondam apud Hierosolyma templum...
Apparently because of earthquakes in the Levant that year, the work was disrupted. Julian died not long after afterwards.