Toffoli gate implementation method based on Margolus gate on four or more qubits
DOI:
https://doi.org/10.20535/tacs.2664-29132024.1.306056Abstract
This paper considers the method of building the Toffoli Gate based on the Margolus Gate on four or more qubits. In the first part of the considered method, the modification of the Margolus gate on four or more qubits is suggested. In the second part of the method, the modification of the Margolus gate is transformed into the modification of the Toffoli gate implementation using step-by-step phase rotation compensations. The phase rotation compensation for an N-qubit quantum circuit can be performed with N successive steps, where at each step the gates with phase rotation pi/2^(s-1) are added, where s is the step number, starting from one. The compensation phase requires 2 two-qubit gates and 2N-1 one-qubit gates.
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