Nick Kyrgios is through to the quarter-final after a terrific 7-6 (11-13) 3-6 6-3 6-2 win over world number one and reigning US Open champion Daniil Medvedev.

It was a match that had all of the usual Kyrgios antics as he seemed to lose his cool during the first set tiebreaker, slamming his racket multiple times while repeatedly yelling at members of his entourage.

But he was able to work his way through it, saving three set points, before sealing the opening frame in 64 minutes with his fourth set point. Kyrgios relied on his dominant serve and limiting his errors, with just one double fault and 11 unforced errors with 21 winners.

The momentum from winning the set kept Kyrgios from spiralling mentally, but he became sloppy in the second, committing four double faults with only three aces, and he had 12 unforced errors with seven winners. It was the only set he had more than one double fault and more unforced errors than winners.

Zverev's ability to return in the second set was the difference, lifting his return point success rate from 33 per cent in the opener to 48 per cent to break twice and even up the match.

It had all the makings of a Kyrgios meltdown, but where he would usually begin to unravel and force desperate power shots to shorten points, he instead settled into the battle and refocused on getting into the net.

After only going to the net five times in the second set, he tripled that in the third, winning nine-of-15 attempts while not allowing a single break point opportunity. Kyrgios only created one break point chance for himself, and he took it with both hands to go up two sets to one.

In the fourth, Kyrgios was able to break again with his first opportunity early on, and with his serve switched on and firing he would only allow one chance for Zverev to break back, but he snuffed it out before going on to secure a second break and the victory.

Of their five career meetings, Kyrgios has now won four, and he will now get the benefit of the number one seed's path through the tournament. Next up, he will face 27th seed Karen Khachanov in the quarter-final as he searches for his first career grand slam title.

Data Slam: Kyrgios accomplishes feat not seen since 1987

Kyrgios is the first player since 1987 to defeat the world number one twice in the same year, with Australian compatriot Pat Cash the last to do it.

It is also the first time an Australian has defeated a world number one in a grand slam since Kyrgios himself, back in 2014 as a 19-year-old against Rafael Nadal at Wimbledon.

ACES/DOUBLE FAULTS

Kyrgios – 21/7

Medvedev – 22/2

WINNERS/UNFORCED ERRORS

Kyrgios – 53/38

Medvedev – 49/19

BREAK POINTS WON

Kyrgios – 5/7

Medvedev – 3/8