Barty made a quick begin and saved her cool after a mini second-set fightback from Rogers to safe the 6-3 6-4 win in 71 minutes on Monday evening.
The 2019 French Open champion will meet Czech world No.27 Karolina Muchova on Wednesday for a spot within the semi-finals.
Muchova beat Elise Mertens 7-6 (7-5) 7-5 to transfer into the ultimate eight.
Barty’s progress means she’s the primary native hope to attain three consecutive quarter-finals on the Australian Open since Wendy Turnbull made it 4 in a row in 1984.
“It’s actually thrilling to be through to one other quarter-final,” Barty stated throughout an on-court interview.
“When you would have informed me just a few months in the past whereas we have been doing pre-season that that is the beginning to the 12 months that we’d have, we’d completely take it with a large smile on our face.
“We come out right here and have enjoyable. I simply love being at house, I like being in Australia and having the ability to share it with all my family and friends.”
Each gamers entered the match with out having dropped a set within the match.
Barty led the head-to-head battle 2-0, however their most up-to-date assembly earlier this month was a tricky encounter on the Yarra Valley Traditional that was determined by a match tiebreak.
There was no crowd readily available to spur Barty on, however she was nonetheless in a position to make a quick begin to shoot out to a 4-1 lead.
Barty’s potential to flip a collection of defensive scrambles into offensive forehands proved essential.
She saved two break factors within the seventh sport and didn’t give Rogers one other sniff on the way in which to sealing the primary set in 29 minutes.
The unforced errors continued to mount for Rogers within the second set, with Barty snaring consecutive breaks to put her opponent on the brink at 5-1.
The one actual blemish for Barty got here when she was up 5-2 within the second and serving for the match at 40-15.
Barty dedicated a collection of unforced errors to hand a break again to Rogers, however the Australian made amends in her subsequent service sport to safe the win.
“I knew my serve was going to be large,” Barty stated.
“She’s a participant that may take the match away from you in a short time, so I wanted to have my trainers on. However I served properly and I attempted to be answerable for as many factors as I may.”