Ljubicic -- last year's runner-up and this year's seventh seed -- beat 23rd-seeded Argentine Juan Ignacio Chela, 6-3, 7-5. The Croat fired 14 aces and broke Chela's serve three times.
Canas, of Argentina, beat No. 6 Spaniard Tommy Robredo, 7-6 (7-5), 6-1.
Ljubicic is heading for his fourth semifinal in seven events this season. He's reached three finals in 2007, winning just one.
Canas reached the quarterfinals after shocking Roger Federer Tuesday.
Celebrity Families of 2014 [PHOTOS]