Exact Synthesis of Qutrit Toffoli+Hadamard and Clifford+T

Explore a conference talk on quantum computing presented by Lia Yeh from Oxford University at the QuDits for Quantum Technology workshop. Delve into the world of qudit ZH-calculus and its generalization to prime dimension qudits. Discover the universality of phase-free qudit ZH-calculus for matrices over rings and learn about the qudit Toffoli+Hadamard gate set. Understand how this gate set constructs d-ary classical reversible circuits and achieves approximate universality for quantum computation in odd prime qudit dimensions. Examine the correspondence between qudit phase-free ZH-calculus diagrams and circuits with post-selections over the Toffoli+Hadamard gate set. Gain insights into two papers discussing these advanced quantum computing concepts and their implications for quantum technology.

Exact Synthesis of Qutrit Toffoli+Hadamard and Clifford+T