Quantum Air (formerly known as AeBal or Aerolíneas de Baleares) was an airline based in Madrid, Spain.

The company started operations on 5 July 2000 from Madrid with domestic services and an initial fleet of three Boeing 717 aircraft.

[1] AeBal ceased operations on 16 September 2008, as part of the Spanair economic restructuring plan, canceling their wet-lease agreement.

[2] AeBal ceased to exist after it was sold by SAS in January 2009 to Proturin, a Spanish investment company controlled by former Aerolíneas Argentinas CEO, Antonio Mata.

[4] Finally in October 2012, a court in Palma de Mallorca issued a verdict in favour of the company, ordering SAS to pay 6.3 million €.