Kei Nishikori will next play against Novak Djokovic.
The 12-time grand slam champion, who has endured a hard 12 months due to an elbow injury, said he was nearing his best form once more.
"He's always like a big war for me".
"But I felt like in the last month and a half, the level of tennis has been very close to where I would like it to be, where I'm used to having it, so to say, and playing on". It's always a big challenge.
The Japanese player has already lost twice to the former world number one this year - on clay in Madrid and Rome. The world number 28 from Japan played a stunningly fast game, winning 6-1 7-6 6-4 to edge out Kyrgios, ranked 18th, as the light faded on Court One.
Alexander Zverev suffered a third-round exit at Wimbledon, losing to the Latvian Ernests Gulbis.
"My elbow was bothering me".
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He was on Sunday's line-up along with the likes of rappers Giggs and Rick Ross, and hip hop duo Rae Sremmurd. Davido also brought out Mayorkun on stage as the duo performed his songs, Mama and "Cheche".
Or being by turns self-reflective and sarcastic during the news conference afterward, including when a reporter noted that Kyrgios' tennis career has featured some complicated moments - a euphemism if ever there was one - and he shot a sideways glance toward his agent, smiled wryly and replied, "Have I?"
Seeded 12, Wednesday will Djokovic's 41st appearance in a Grand Slam quarterfinal. On those occasions it took Roger Federer and last year's Wimbledon finalist Marin Cilic to stop him.
"I'm happy to have gotten past that wall", said Nishikori. I just didn't want to pull out so I could even take the third set."The Latvian saved two set points with some strong returns but both players made unforced errors, Gulbis missing a volley and Nishikori serving two double faults before the Japanese finally clinched it 12-10 after nearly three and a half hours". I knew that he was much better than the first set. I was feeling physically really, really good.
Djokovic's run to the Queen's final on the eve of Wimbledon was his first appearance in a championship match since Eastbourne nearly 12 months earlier.
The Alicante-based 19-year-old played his part in an entertaining duel as he chased after everything Nadal could throw at him - and in turn kept the Spaniard on Centre Court longer than he would have liked.
"I just had to go back to basics and hit as many balls as I can on the practice courts, just get that feel". Also psychologically obviously, I was so fortunate to have so much success on the tour over the course of 10-plus years.
"I was a top 3 player for so many years in a row - it was quite a odd feeling for me not to be able to deliver my game".