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SinglePage PageMode: UseOutlines Outlines: Item: Title: Introduction Item: Title: Preliminaries Children: Item: Title: Notation Item: Title: Random unitary matrices and their bold0mu mumu ttKSV2002tttt-designs Item: Title: Main results Children: Item: Title: A unitary 2-design by random diagonal-unitary matrices Item: Title: Implementation of bold0mu mumu D[]D[]L2010D[]D[]D[]D[] by a quantum circuit Item: Title: Proofs Children: Item: Title: Auxiliary lemmas Item: Title: Proof of the main result Item: Title: Conclusion Item: Title: Proof of Lemma 7 Filters: FilterPipeline: FlateDecode Fonts: Type1: Font: BaseFont: GDSESH+MSBM10 FontSubset: true FirstChar: 69 LastChar: 76 FontDescriptor: FontName: GDSESH+MSBM10 Flags: Symbolic FontBBox: -55, -420, 2343, 920 FontFile: true Font: BaseFont: SXNFRW+LMRoman12-Bold FontSubset: true FirstChar: 50 LastChar: 93 FontDescriptor: FontName: SXNFRW+LMRoman12-Bold Flags: Symbolic FontBBox: -476, -289, 1577, 1137 FontFile: true EncodingDictionary: 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