Yang, born in Auckland, New Zealand, moved to China with her family. She began playing tennis at 4 years of age with her father, encouraging her to take up sport to help her immune system. As he was a keen amateur tennis player himself, Vivian played at the nearby courts too.[1][2] After returning to New Zealand, Yang attended Westlake Girls High School, Auckland and joined the Tennis NZ’s high performance programme.[3]
Yang made her senior debut for New Zealand in the 2022 Billie Jean King Cup playing in Pool A Asia/Oceania Zone Group I matches against China, South Korea and Indonesia in April, 2022. New Zealand captain Marina Erakovic championed her inclusion saying "Vivian is one of our best young players coming through. She has improved massively over the past two years and is gaining experience by the day with her recent playing schedule. Even though she is young, she is a huge asset to the team."[4] After her debut defeat against Chinese No. 2, Yuan Yue, ranked at 143 in the world, which included four squandered set points in the first set,[5] Erakovic remained positive saying "I was very impressed with Vivian. She played extremely well, and was able to actually really dictate on her own terms with that lefty serve and forehand, and she had a couple of set points but just got a little bit tight, that inexperience but yeah, just really positives out there for her."[6] Yang secured her first senior win a few days later against Indonesia’s Beatrice Gumulya with a 7–5, 6–2 victory on 16 April 2022.[7] By the end of 2022, Yang was New Zealand’s No. 1 under-18 singles and doubles player.[8]
In December 2024, she won the wildcard play-off to earn a spot in the main draw of the 2025 ASB Classic.[10] Yang lost in the first round to lucky loser Jodie Burrage.[11]