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Making the stabilizer ZX-calculus complete for scalars

2015
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Electronic Proceedings in Theoretical Computer Science
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The ZX-calculus is a graphical language for quantum processes with built-in rewrite rules. The rewrite rules allow equalities to be derived entirely graphically, leading to the question of completeness: can any equality that is derivable using matrices also be derived graphically? The ZX-calculus is known to be complete for scalar-free pure qubit stabilizer quantum mechanics, meaning any equality between two pure stabilizer operators that is true up to a non-zero scalar factor can be derived

doi:10.4204/eptcs.195.2
fatcat:vymqlbkcrjglxlke7im44cloz4