Bencic’s high-risk approach almost beat the world number one from Poland, but he came back to win 6-7 (4-7) 7-6 (7-2) 6-3.
Swiatek will play Elina Svitolina next, who beat Victoria Azarenka. Swiatek is going for her fifth Grand Slam title.
The 4th seed Also for the first time, Jessica Pegula made it to the last eight.
The American beat the number 60 player in the world, Lesia Tsurenko of Ukraine, 6-1, 6-3.
If that was an easy win, Swiatek’s was anything but, as the 14th-seeded Swiss player Bencic kept getting herself out of trouble in a very impressive way.
Bencic got off to a bad start, and the only reason she was still in the first set was because she was able to save all six break points. Swiatek’s serve was solid in the first set.
But she jumped out to a 5-1 lead in the tie-break before Swiatek brought it back to 6-4. However, Swiatek then hit a long shot and lost her first set of the event.
At the end of the first set, Swiatek went to the bathroom and took a notebook with her. When she came back, it looked like the notes gave her some answers because she broke right away.
But Bencic showed many times in the first set that she plays her best tennis when she needs to.
In the sixth game of the second set, Swiatek seemed to tighten up, and the Swiss got the break back. At 6-5, Swiatek kept going strong and got two match points.
But right when she needed it most, she lost her ability to win the important points when she didn’t return a long shot from Swiatek. Swiatek then won the next point to end the threat.
Swiatek then led the tie-break, which was the first time the Pole, who is known for her easy wins, had to play two tie-breaks in the same match.
In the third game of the third set, Bencic had a chance to go up a break, but she missed what turned out to be her last chance to get ahead of the world number one.
Swiatek won the next game to go up 4-1, and Bencic never had another great chance to win. She lost when Swiatek hit a great forehand cross-court winner on her first match point after three hours and three minutes.
Swiatek said in her on-court talk, “It wasn’t easy. I don’t even know if I’ve ever come back from being down match point before.”
“I think I needed that win to have a little more faith in myself on the surface.”
