Stephen Hendry will play Matthew Stevens in the other semi-final after both secured easy wins.
BBC: Dott thrashed Ronnie O'Sullivan 5-0 in the previous round
The victory comes after a humbling 5-0 defeat to Matthew Stevens in last month's LG Cup.
White faces Matthew Stevens, another close friend of Hunter's, in the wildcard round at Wembley on Sunday.
After the break they continued to press with Matthew Stevens crossing and Farrell adding another eight points.
In the second semi-final, Stephen Hendry looked to be near his best as he beat Wales' Matthew Stevens 6-3.
BBC: SPORT | Other Sport | Snooker | Higgins stunned by tenacious Dott
Meanwhile, Anthony Hamilton subjected Matthew Stevens to his fourth successive defeat since the Welshman won the UK Championship with a shock 5-1 defeat.
Australia's Neil Robertson beat Ireland's Fergal O'Brien 5-2, world number five John Higgins beat Tom Ford 5-4 and Joe Perry beat Matthew Stevens 5-1.
Doherty opened a 5-3 advantage over Joe Perry in their first session, while Ding led by the same scoreline against 2003 champion Matthew Stevens.
BBC: SPORT | Other Sport... | Snooker | Big names book last-eight places
But seven-times world champion Stephen Hendry is threatened with an early exit after losing 3-0 to Matthew Stevens - his second defeat in three matches.
BBC: SPORT | Other Sport... | Snooker | O'Sullivan books slot in last 16
Northern Irishman Mark Allen, now the world number 11, was beaten 5-2 by Matthew Stevens, who will face fellow Welshman Ryan Day in the second round.
The current world number one became the first left-hander to pick up the coveted Embassy World title last year when he beat fellow Welshman Matthew Stevens, 18-16, in a tense battle.
Also through to the last 16 stage is Chinese prospect Liu Song, who beat Dubliner Joe Delaney but Matthew Stevens is out despite beating Dave Harold 4-1 in his final group game.
Stevens, who plays aristocrat Matthew Crawley in the ITV period drama, will appear in The Heiress from October.
Rumors have surrounded the departure of star Dan Stevens, who plays resident heartthrob Matthew Crawley.
Also joining the Administration officials were Actor Chaske Spencer from the Twilight series, Nike N7 General Manager Sam McCracken and Nike N7 Fund Board of Directors Ernie Stevens, as well as National Congress of American Indians Board Secretary Matthew Wesaw, Wisconsin Department of Public Instruction Consultant for Health and Physical Education John W. Hisgen, and Menominee Tribal Chairman Randal Chevalier.
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