Toffoli gate implementation method based on Margolus gate on four or more qubits
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Date
2024
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Publisher
Igor Sikorsky Kyiv Polytechnic Institute
Abstract
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 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.
Description
Keywords
The Toffoli Gate, the Margolus Gate, Quantum Gate, Universal Gate, Reversible Gate, Quantum Circuit
Citation
Tereshchenko, A. Toffoli gate implementation method based on Margolus gate on four or more qubits // Andrii Tereshchenko, Valeriy Zadiraka // Theoretical and Applied Cybersecurity: scientific journal. – 2024. – Vol. 6, No. 1. – P. 5-9. – Bibliogr.: 14 ref.