Dee ihe na-aga n'ihu maka paragraf a - Martirosyan meriri World Youth Chess Championship na ụdị Under 16 na 2016. N'afọ 2017, ọ gbara bọọlụ maka ndị otu mbaụwa nke meriri na Match of the Millennials na St. Louis, US na-agbata ihe anọ na egwuregwu asaa. N'afọ 2018, o meriri asọmpi Armenia Chess Championship ma soro ndị otu Armenia gbaa bọọlụ na 43rd Chess Olympiad
na Batumi nwere akara arụmọrụ nke 2708. Ka oge na-aga n'otu afọ ahụ, ọ meriri Zurich Christmas Open na-agafe Rasmus Svane, SL Narayanan, Dennis Wagner na Andrei Istrățescu. Na Febụwarị 2019, Martirosyan keere ọnọdụ mbụ na Kaido Külaots na Aeroflot Open, na-emecha nke abụọ na tiebreak. Martirosyan banyere na Chess World Cup 2021 dị ka mkpụrụ nke 59. O meriri GM Shakhriyar Mamedyarov na ngwa ngwa tiebreaks maka agba nke 3, wee gafere na agba nke 5 mgbe ọ meriri GM Ante Brkić na agba nke 4. Onye GM Amin Tabatabaei kpochapụrụ ya na agba nke ise.