Tursunov had nine aces and converted three of his 10 break points.
The Russian will face seventh-seeded Radek Stepanek of the Czech Republic. Stepanek beat Argentina's Eduardo Schwank 3-6, 7-6 (4), 6-4.
In the other quarterfinals, fourth-seeded Paul-Henri Mathieu of France beat Serbia's Janko Tipsarevic 7-6 (4), 6-3, and France's Adrian Mannarino topped countryman Marc Gicquel 6-4, 7-6 (3).
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