Generators and Roots of Quantum Logic Gates

Details Generators and Roots of Quantum Logic Gates Generators and Roots of Quantum Logic Gates

2005-11-28

arxiv.org/abs/quant-ph/0511250v1

Physics

Quantum Physics

10 pages no figures

Scientific paper

This is an exposition of some basic mathematical aspects of quantum logic gates. At first we established some general formulas for the case of arbitrary quantum gate A with unique restriction A^2=I. The explicit form of the generators and roots of matrix A have been found . Then we apply general results to the particular cases of one-qubit and multi-qubit quantum gates. Some interesting properties of square roots of basic Pauli and Hadamard gates are demonstrated.

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