At the age of 14 years she entered Central Music School in Moscow in the class of Lev Naumov.
She played recitals in Moscow, Leningrad, Omsk, Baku and with orchestras in Ekaterinburg, Minsk, Nizhny Novgorod, Kazan and Tashkent.
After winning the 1st Prize at ARD Competition Munich she began to perform worldwide.
Today she plays in recitals and with orchestra, gives master classes and judges in competitions in Armenia, China, Europe, Japan, Korea, and South America.
In October 2018 Anna Malikova was appointed distinguished professor at the University of Music and Performing Arts Vienna.