There is no such brand as 'IQ' running shoes. Many people mistake the "i" "p" logo on the Pearl Izumi running shoes and call it "i" "q".
The name Pearl Izumi is translated from Japanese to mean "fountain of pearls".
The actual logo of the company is a stylized "i" and a "p," appears on all the Pearl Izumi clothing as well as footwear.
As at November 2014 the Google keyword tool suggests that 70 people a month are searching for these "IQ running shoes". In November 2015 it was 90 searches a month.