{"paper":{"title":"Fermionic Linear Optics and Matchgates","arxiv_id":"quant-ph/0108033","primary_cat":"quant-ph","submitted_at":"2001-08-07T22:07:37+00:00","version_compiled":"v2"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. 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