Although　quantum　image　scaling　algorithms　have　been　widely　studied　in　recent　years,　almost　all　of　them　require　the　quantum　image　to　be　enlarged　or　reduced　simultaneously　in　the　horizontal　and　vertical　directions.　However,　the　scaling　schemes　that　enlarge　the　quantum　image　in　one　direction　and　shrink　it　in　the　other　direction　are　rarely　involved.　In　this　paper,　a　quantum　image　scaling　scheme　based　on　the　extension　of　the　bilinear　interpolation　method　is　proposed　to　achieve　asymmetric　scaling　over　the　two　dimensions　of　a　quantum　image　for　the　first　time.　Firstly,　the　improved　novel-enhanced　quantum　representation　of　digital　images　(INEQR)　is　employed　to　represent　a　2n1x2n2　quantum　image,　and　the　bilinear　interpolation　is　improved　to　use　two　adjacent　pixels　in　the　original　image　for　interpolation.　Then,　the　concrete　circuits　for　the　asymmetric　scaling　of　quantum　images　are　designed.　Finally,　the　simulation　results　are　given,　and　the　complexity　of　the　quantum　circuits　and　the　peak　signal-to-noise　ratio　(PSNR)　are　used　to　quantitatively　compare　with　the　similar　scheme　proposed　in　another　paper.　The　results　show　that　the　proposed　scheme　has　lower　computational　complexity　and　better　scaling　effect　than　another　scheme.