Maria Sharapova was all business Sunday as she set up a glamour Australian Open quarter-final with Eugenie Bouchard as Rafael Nadal and Andy Murray continued their unrelenting Grand Slam march.

The Russian world number two ended Chinese hopes by swatting aside 21st seed Peng Shuai 6-3, 6-0 as she lifts her game the deeper she goes in the tournament.

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It hands organisers a dream last eight clash between two of the most marketable players on tour with Canadian seventh seed Bouchard surviving a mid-match slump to defeat unseeded Irina-Camelia Begu of Romania in three sets.

But Sharapova's boyfriend Grigor Dimitrov was turfed out by never-say-die British sixth seed Andy Murray, who won the last five games to battle through a pulsating night match on Rod Laver Arena 6-4, 6-7 (5/7), 6-3, 7-5.

 Nadal, a 14-time Grand Slam champion, was dominant after a tight first set against power-hitting South African Kevin Anderson, running out a 7-5, 6-1, 6-4 winner and will next play Czech Tomas Berdych for a place in the semi-finals.

The consistent Berdych, who made the final four last year, ended Australian Bernard Tomic's tournament with a comfortable 6-2, 7-6 (7/3), 6-2 hit-out.

 Berdych has lost his last 17 encounters with Nadal and admitted he would have to be at the top of his game to win.

Another Australian, teenager Nick Kyrgios, managed to achieve what Roger Federer could not by beating dogged Italian Andreas Seppi 5-7, 4-6, 6-3, 7-6 (7/5) 8-6.

The 19-year-old becomes the first home-grown quarter-finalist in Melbourne since Lleyton Hewitt in 2005 with a face-off against Murray his reward.

Sharapova, gunning for a sixth Grand Slam title and her first in Australia since 2008, said her match against Peng was tougher than the score suggested.

The Russian added that Bouchard, the tour's most consistent performer at Grand Slams last year who pushed her in their French Open semi-final, would be another big challenge.

The popular Bouchard is widely seen as a future major champion after her semi-final appearance at Melbourne Park last year, a feat she matched in Paris before making the Wimbledon final.

It didn't go all her way against Begu, who sparked to life in the second set to push the ambitious 20-year-old to a third before winning 6-1, 5-7, 6-2.

Bouchard has met Sharapova three times before and lost each one, a statistic that doesn't sit well with her.

Dangerous Romanian third seed Simona Halep also went through, battling past unseeded Belgian Yanina Wickmayer 6-4, 6-2 and will meet Russian 10th seed Ekaterina Makarova.