### Decomposition of Diagonal Hermitian Quantum Gates Using Multiple-Controlled Pauli Z GatesDecomposition of Diagonal Hermitian Quantum Gates Using Multiple-Controlled Pauli Z Gates

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 Author Houshmand, Mahboobeh ♦ Zamani, Morteza Saheb ♦ Sedighi, Mehdi ♦ Arabzadeh, Mona Source ACM Digital Library Content type Text Publisher Association for Computing Machinery (ACM) File Format PDF Copyright Year ©2014 Language English
 Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science Subject Keyword Diagonal Hermitian quantum gates ♦ Decomposition ♦ Optimization Abstract Quantum logic decomposition refers to decomposing a given quantum gate to a set of physically implementable gates. An approach has been presented to decompose arbitrary diagonal quantum gates to a set of multiplexed-rotation gates around $\textit{z}$ axis. In this article, a special class of diagonal quantum gates, namely diagonal Hermitian quantum gates, is considered and a new perspective to the decomposition problem with respect to decomposing these gates is presented. It is first shown that these gates can be decomposed to a set that solely consists of multiple-controlled Z gates. Then a binary representation for the diagonal Hermitian gates is introduced. It is shown that the binary representations of multiple-controlled Z gates form a basis for the vector space that is produced by the binary representations of all diagonal Hermitian quantum gates. Moreover, the problem of decomposing a given diagonal Hermitian gate is mapped to the problem of writing its binary representation in the specific basis mentioned previously. Moreover, CZ gate is suggested to be the two-qubit gate in the decomposition library, instead of previously used CNOT gate. Experimental results show that the proposed approach can lead to circuits with lower costs in comparison with the previous ones. ISSN 15504832 Age Range 18 to 22 years ♦ above 22 year Educational Use Research Education Level UG and PG Learning Resource Type Article Publisher Date 2014-12-01 Publisher Place New York e-ISSN 15504840 Journal ACM Journal on Emerging Technologies in Computing Systems (JETC) Volume Number 11 Issue Number 3 Page Count 10 Starting Page 1 Ending Page 10

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Source: ACM Digital Library