The Controlled-U and Unitary Transformation in Two-Qudit
Kunio Funahashi
TL;DR
This paper extends the controlled-U gate to qudits using elementary gates and demonstrates the universality of a specific two-qudit unitary transformation.
Contribution
It introduces a concrete construction of controlled-U gates for qudits and proves the universality of a related two-qudit unitary transformation.
Findings
Extended controlled-U gate for qudits constructed from elementary gates
Proved the universality of the two-qudit unitary transformation
Demonstrated the applicability of these gates in quantum computation
Abstract
We concretely construct an extension of the controlled-U gate in qudit from some elementary gates. We also construct unitary transformation in two-qudit by means of the extended controlled-U gate and show the universality of it.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Quantum Mechanics and Applications