How to Generalize Qubit Circuits to Qudits

Join a technical seminar from the Qiskit Seminar Series featuring Lia Yeh, a computer science PhD student from the University of Oxford's Quantum Group, exploring the generalization of qubit circuits to qudits. Dive deep into various qudit circuit decompositions, examining both continuous parameter and discrete gate sets built upon existing qubit decomposition techniques. Learn about multiple-controlled Toffolis, classical reversible gates, W states, and the generalization of continuous parameter diagonal gates. Discover the novel Z^(1/d) gate, an alternative generalization of the qutrit T gate to any odd prime dimension d. Explore explicit constructions of d-ary classical reversible gates on n qudits in the Clifford+Z^(1/d) gate set, and understand their convergence properties. Consider the implications of de Silva's conjecture on fault-tolerant implementation of qudit Toffoli gates. Benefit from Yeh's extensive experience in quantum computing education and research at institutions including Quantinuum, IBM Quantum Education, and IEEE Quantum Initiative.