This episode establishes that Hoshi initiated the convention of using the word "beam" as a verb.
People being set "out of phase" by a malfunctioning transporter are also at the heart of Daedalus (2005), The Next Phase (1992), and Coda (1997).
Keone Young, who plays Hoshi's father, also plays Buck Bokai in If Wishes Were Horses (1993). He also played a character call Mr. Sato in an animated program.
While on the gyroscope, Tucker says, "You're upside down, Ensign." This is the same phrase he spoke to Ensign Mayweather upon encountering him in Enterprise's "sweet spot", in Broken Bow, Part 1 (2001).
While searching for Hoshi, at one point Archer walks through her "ghost". In Quantum Leap (1989), Scott Bakula's character (Sam Beckett) would often complain when his holographic partner (Al) would perform the same sort of maneuver and walk through walls or people.