The championships will be held from August 10 to 16.
World number 35 and Olympian Minh will compete with other 63 players in the men's singles event. World number 49 Trang will play alongside 47 players in the women's singles event.
At the same championships held last year, both Minh and Trang had reached the third round.
This year's championships will give players a chance to earn points to qualify for the 2016 Summer Olympics, which is scheduled to be held in Rio de Janeiro, Brazil, from August 5 to 21.