In　this　paper,　we　study　the　fruit　fly　in　the　fruit　fly　optimization　algorithm　(FOA)　system　moving　in　a　quantum　multi-dimensional　space　and　propose　a　quantum　behaved　fruit　fly　optimization　algorithm　(QFOA)　for　the　continuous　function　optimization　problem.　Computational　experiments　and　comparisons　are　carried　out　based　on　a　set　of　benchmark　functions.　The　computational　results　show　the　advantage　of　QFOA　to　the　original　FOA.　©　Springer　Nature　Switzerland　AG　2019.