Alicia Keys and Swizz Beatz

R&B diva Alicia Keys and producer/rapper Swizz Beatz are in an "Empire State of Mind" -- the rumored couple are planning to buy an apartment together in New York City.

According to the New York Post, the couple have been spotted house shopping for the penthouse of a luxury building which is directly across from Gracie Mansion, the official residence of the New York City mayor. The Post cites a source saying, "They've been back four times to view it."

The duplex penthouse, which is located at 170 East End Avenue, has a fireplace, squash courts and a private screening room. The apartment is currently owned by a hedge fund manager, who allegedly paid $12 million for it.

Keys and Swizz have been rumored to be dating for well over a year. Swizz has a son with estranged wife, singer Mashonda.