The play follows the tragic life and mysterious death of Baker and his struggle with heroin addiction.
However, writer and performer David Goldthorpe said the most demanding aspect of the play was having to learn to play the trumpet.
"When I was writing the play, it occurred to me that I couldn't very well perform as Chet Baker without also playing the trumpet, so I had to learn. It was very, very hard work.''
The play debuted last year at the New Zealand Fringe Festival in Wellington.
"I've had a whole year of playing the trumpet since then, so I've got a few tunes now,'' Goldthorpe says.
Baker was known as "the James Dean of jazz'', but his extraordinary trumpet talent was compromised by drug addiction and frequent brushes with the law.
The play explores Baker's life through songs and narrative; from when he burst on to the jazz scene in the '50s to his mysterious death when he fell from an Amsterdam hotel window in 1988.
"I've been a huge fan of Baker's for a long time. I've got about 80 of his albums and I hardly listen to anything else any more. He had a very dark life, but it's been really interesting finding out about him,'' Goldthorpe says.
"Someone in Love is a no-holds-barred glimpse at who Chet Baker really was. It's a chance to get closer to the real Chet Baker than you ever would by picking up a book or reading a CD cover.''
Baker now lies in the Inglewood Park Cemetery in California.
He is also commemorated with a plaque outside the Prins Hendrik Hotel in Amsterdam, where he fell from a second-storey window on Friday, May 13, 1988, and died from his injuries.
The play is directed by David Lawrence, with musical direction by Tim Solly and also features a live jazz trio combination.
Due to the graphic drug use portrayed in the play, it is not recommended for young children.
The Fortune Theatre is offering two-for-one tickets for opening night. Like Someone in Love opens at the Fortune Theatre at 6pm on Tuesday and runs till Saturday, May 10.
