The Swiss top seed needed only 16 minutes to wrap up the first set and next faces Kevin Anderson who battled past Frenchman Gael Monfils 7-6(4) 7-6(2) 5-7 7-6(4) in London on Monday.
Rafael Nadal was equally brutal in his 6-3 6-3 6-4 win over Jiri Vesely to book a quarter-final spot for the first time since 2011.
Former champion Novak Djokovic dismissed Russia's Karen Khachanov 6-4 6-2 6-2 to reach the last eight.
Djokovic, three-times winner at the All England Club, next meets 24th seed Kei Nishikori of Japan who beat Latvia's Ernests Gulbis 4-6 7-6(5) 7-6(10) 6-1.
Play was suspended due to bad light in the fourth round match between fifth seed Juan Martin Del Potro and Gilles Simon. Argentine Del Potro led 7-6(1) 7-6(5) 5-7.
In the women's matches, seven-times champion Serena Williams powered past Russian qualifier Evgeniya Rodina, posting her 90th singles match win at the All England Club with a 6-2 6-2 victory.
German 11th seed Angelique Kerber ensured she was the highest-seeded player remaining in the women's draw with a 6-3 7-6(5) win over Switzerland's Belinda Bencic.
This is the first time since seedings were introduced in 1927 that none of the top eight women has made it through to the Wimbledon quarter-finals.
WIMBLEDON FOOTBALL-FREE
Wimbledon officials are refusing to show any football on the All England Club's big screen, despite football fever gripping the country as the national team bids to reach its first World Cup final since 1966.
Gareth Southgate's England have been roared on by fans up and down the country as they defied expectations to set up a semi-final with Croatia - with the match taking place in Moscow on Wednesday.
On the same day the men's quarter-finals will be held in SW19.
But Wimbledon chief executive Richard Lewis stuck to his view that spectators coming to the grasscourt championships expect to see tennis and said that big-screen policy will remain in place to limit the disruption caused to players.
Fans will, however, be able to follow the action in Russia on their phones and tablets using the tournament's wifi signal.
Last Saturday, fans deserted Centre Court immediately after Rafael Nadal booked his place in the second week of the championships as England were playing Sweden in the World Cup quarter-finals.
Many spectators opted to leave the grounds and watch the match at neighbouring pubs, leaving Angelique Kerber and Naomi Osaka to start off their third round match in front of thousands of empty green seats.
