Brady, who is one of four American women still alive in singles, will face either Petra Martic or Yulia Putintseva in her first Grand Slam quarterfinal match.
Pliskova surged ahead of Anhelina Kalinina 4-1 in the opening set, lost three games in a row, then took the last eight for a 6-4, 6-0 victory. She had a 26-7 edge in winners
Anastasia Pavlyuchenkova defeated Karolina Pliskova 7-6, 7-6 to win her third round fixture and set up a clash with Angelique Kerber.
All the top 10 seeded women in Australian Open 2020 sealed their spots in the third round of the competition on Thursday.
Angelique Kerber, Simona Halep, Svetlana Kuznetsova, Garbine Muguruza, Karolina Pliskova all moved to round two of Australian Open 2020 while Mari Sharapova was eliminated in her opener.
Collins will play either Donna Vekic or qualifier Yulia Putintseva in the next round, and possibly 2011 U.S. Open champion Sam Stosur after that.
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