Polgar, 17, is the world's highest-ranked woman and the only woman in the 16-player event.
In other quarterfinal matches Wednesday, PCA world champion Garry Kasparov of Russia defeated Viswanathan Anand of India 1 1-2-to-1-2; Pedrag Nikolic of Bosnia-Herzegovina defeated Michael Adams of England, winning a tie-breaking playoff after their two-game match ended 1-to-1; and Vassily Ivanchuk of Ukraine beat Viktor Korchnoi of Switzerland 1 1-2-to-1-2.
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