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Defending champion Naomi Osaka has been knocked losing 7-5 6-4 on Monday to Switzerland’s Belinda Bencic in the previous 16.
Osaka, 21, has been broken up at the fifth game of the second at Flushing Meadows.
This means that the player may lose her world number one position to come back to the place.
To get Bencic, 22, it is her second appearance in the quarter-finals.
She also made the last eight in 2014 and will play Croatia’s Donna Vekic after the 23rd seed beat Germany’s 26th seed Julia Goerges 6-7 (5-7) 7-5 6-3 in a match which lasted two hours 42 minutes on Louis Armstrong Stadium.
“I was excited to return on the court, the battle cannot be bigger – Naomi Osaka is a great player and won the US Open this past year,” said Bencic. “I had to be on top of my game and am really delighted with how I played.
“She has a lot of electricity, I was just trying to play it somewhat like chess, expect and earn a strategy on the court”
Osaka, who beat Serena Williams in last year because of her Grand Slam title, needed to save two break points to prevent going 3-0 down and started off as she lost her serve at the very first opportunity .
She subsequently fought back with a fracture before Bencic took the break in the 11th game and then served out the series.
At the second group, an Osaka mistake gifted Bencic another break and the Swiss player took the final game of the match using a service game to love.
After winning the Australian Open in January because of her Grand Slam, Osaka became the world number one, a position.
Osaka returned into the top eight months even though losing on the Qiang Wang of China in the last 16 on Sunday but Barty will end up number one again.
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