[1] Martirosyan won the World Youth Chess Championship in the Under 16 category in 2016.

[2][3] In 2017 he played for the World team that won the Match of the Millennials in St. Louis, US scoring 4 points from 7 games.

[7] Later in the same year, he also won the Zurich Christmas Open edging out Rasmus Svane, S. L. Narayanan, Dennis Wagner and Andrei Istrățescu.

[8] In February 2019, Martirosyan shared first place with Kaido Külaots in the Aeroflot Open, finishing second on tiebreak.

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