8 citations · 16 across the 4 of their papers we have counts for
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Catalysing Completeness and Universality
Aleks Kissinger, Neil J. Ross, John van de Wetering
A catalysis state is a quantum state that is used to make some desired operation possible or more efficient, while not being consumed in the process. Recent years have seen catalys…
Quantum Circuit Optimization with AlphaTensor
Francisco J. R. Ruiz, Tuomas Laakkonen, Johannes Bausch +10
A key challenge in realizing fault-tolerant quantum computers is circuit optimization. Focusing on the most expensive gates in fault-tolerant quantum computation (namely, the T gat…
The Qudit ZH-Calculus: Generalised Toffoli+Hadamard and Universality
Patrick Roy, John van de Wetering, Lia Yeh
We introduce the qudit ZH-calculus and show how to generalise all the phase-free qubit rules to qudits. We prove that for prime dimensions d, the phase-free qudit ZH-calculus is un…
Self-duality and Jordan structure of quantum theory follow from homogeneity and pure transitivity
Howard Barnum, Cozmin Ududec, John van de Wetering
Among the many important geometric properties of quantum state space are: transitivity of the group of symmetries of the cone of unnormalized states on its interior (homogeneity),…