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

Controlled NOT gate Quantum circuit Pauli matrices Toffoli gate Quantum Logic
DOI: 10.1145/2629526 Publication Date: 2015-01-05T13:27:09Z
ABSTRACT
Quantum logic decomposition refers to decomposing a given quantum gate set of physically implementable gates. An approach has been presented decompose arbitrary diagonal gates multiplexed-rotation around z axis. In this article, special class gates, namely Hermitian is considered and new perspective the problem with respect these presented. It first shown that can be decomposed solely consists multiple-controlled Z Then binary representation for introduced. representations form basis vector space produced by all Moreover, mapped writing its in specific mentioned previously. CZ suggested two-qubit library, instead previously used CNOT gate. Experimental results show proposed lead circuits lower costs comparison previous ones.
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