dorsal/arxiv
View SchemaGenerators and Roots of Quantum Logic Gates
| Authors | R. Muradian, Diego Frias |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511250 |
| URL | https://arxiv.org/abs/quant-ph/0511250 |
Abstract
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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"abstract": "This is an exposition of some basic mathematical aspects of quantum logic\ngates. At first we established some general formulas for the case of arbitrary\nquantum gate A with unique restriction A^2=I. The explicit form of the\ngenerators and roots of matrix A have been found . Then we apply general\nresults to the particular cases of one-qubit and multi-qubit quantum gates.\nSome interesting properties of square roots of basic Pauli and Hadamard gates\nare demonstrated.",
"arxiv_id": "quant-ph/0511250",
"authors": [
"R. Muradian",
"Diego Frias"
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"title": "Generators and Roots of Quantum Logic Gates",
"url": "https://arxiv.org/abs/quant-ph/0511250"
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