Rubuta ci gaba don wannan sakin layi - Martirosyan ya lashe gasar zakarun duniya ta matasa a cikin rukunin Under 16 a shekarar 2016. A cikin 2017 ya buga wa kungiyar Duniya wanda ya lashe Wasan Millennials a St. Louis, Amurka ta zira kwallaye 4 daga wasanni 7. A cikin 2018, ya lashe Gasar Gasar Chess ta Armeniya kuma ya buga wa tawagar Armenia wasa a gasar Olympiad ta Chess ta 43
a cikin Batumi tare da ƙimar aikin 2708. Daga baya a wannan shekarar, ya kuma lashe gasar Zurich Christmas Open wanda ya fitar da Rasmus Svane, SL Narayanan, Dennis Wagner da Andrei Istrățescu. A watan Fabrairun 2019, Martirosyan ya raba matsayi na farko tare da Kaido Külaots a cikin Aeroflot Open, inda ya zama na biyu a kan daidaitawa. Martirosyan ya shiga gasar cin kofin duniya ta Chess ta 2021 a matsayin mai lamba 59. Ya doke GM Shakhriyar Mamedyarov a cikin saurin yanke hukunci don zagaye na 3, kuma ya ci gaba zuwa zagaye na 5 bayan ya doke GM Ante Brkić a zagaye na 4. An fitar da shi a zagaye na biyar ta GM Amin Tabatabaei.