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Generators and Relations for Real Stabilizer Operators

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 نشر من قبل EPTCS
 تاريخ النشر 2021
والبحث باللغة English
 تأليف Justin Makary




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Real stabilizer operators, which are also known as real Clifford operators, are generated, through composition and tensor product, by the Hadamard gate, the Pauli Z gate, and the controlled-Z gate. We introduce a normal form for real stabilizer circuits and show that every real stabilizer operator admits a unique normal form. Moreover, we give a finite set of relations that suffice to rewrite any real stabilizer circuit to its normal form.



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