Over the span of 2 years from 2020 to 2022, Mkrtchyan improved her rating significantly from 2075 to 2343; an increase of nearly 300 points.

In 2022, she won the Armenian women's championship and qualified for the national team.

[2][3] In December 2022, Mkrtchyan won the international U20 tournament held in Mansiysk, Russia.

[4] In March 2023, Mkrtchyan competed in the European Women Chess Championship.

[5] Mkrtchyan is a member of the Armenian women's chess team, and is the European U18 champion.