In　this　paper,　we　first　study　the　cryptanalysis　of　quantum　signature　scheme　based　asymmetric　quantum　cryptography.　Then　the　results　of　analysis　show　that　quantum　signature　scheme　exits　the　forgery　attack.　Finally,　we　give　some　suggests　used　to　improve　the　above　scheme,　for　example,　a　security　detection　mechanism　should　be　performed　in　the　above　schemes.　Furthermore,　this　quantum　signature　scheme　also　can　withstand　the　forgery　attack　by　adding　a　random　positive　integer　shared　in　between　the　signer　and　the　verifier.　(C)　2017　Elsevier　GmbH.　All　rights　reserved.