The seventh seeded Asian combo took a little less than an hour and a half to get the better of their opponents.
The Indo-Chinese duo will take on the winner of the match between Jean-Julien Rojer and Vera Dushevina and 14th seeds David Marrero (ESP) and Kimiko Date-Krumm in the quaterfinals.
Bopanna and Zheng hit 19 winners as compared to just 12 by their Swedish-Hungarian rivals today.
However, the Indo-Chinese pair got their act together in the third and deciding set and they completely dominated proceedings. Bopanna and Zheng broke their opponents twice and let them take only one game out of seven to warp the match in their favour.
