Making something appear where nothing existed previously is almost what magic is really about. In this case, we'll use the example of a pigeon appearing in a performer's hands, accompanied by a blinding flash of light.
You always know something's up when a magician is wearing a bulky jacket. All they've done is pull the pigeon out of it. The flash was just a distraction, blinding you for long enough for them to grab the pigeon. It still requires incredible hand speed, though.