112 citations · 1.6k across the 89 of their papers we have counts for
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Magic and Non-Clifford Gates in Topological Quantum Field Theory
William Munizzi, Howard J. Schnitzer
Non-Clifford gates, used to generate quantum magic, are essential for universal quantum computation. We show that non-Clifford gates arise naturally from path integrals in topologi…
Topological Preparation of Non-Stabilizer States and Clifford Evolution in Chern-Simons Theory
William Munizzi, Howard J. Schnitzer
We develop a topological framework for preparing families of non-stabilizer states, and computing their entanglement entropies, in Chern-Simons theory. Using the Kac-Mood…
The entropy cones of and states
Howard J. Schnitzer
The quantum entropy cones (QEC) for states of qubits and states of qudits are computed. These cones emerge as symmetrized quantum entropy cones (SQEC) for arbitrary $…
Level-rank duality of SU(2)k Chern-Simons theory, and of hypergraph and magic states
Howard J. Schnitzer
The level-rank duality of SU(2)k Chern-Simons theory is discussed, and applied to graph, hypergraph, and magic states.
Hypergraph States in SU(N)1, N odd prime, Chern-Simons Theory
Howard J. Schnitzer
Graph states and hypergraph states can be constructed from products of basic operations that appear in SU(N)1. The level-rank dual of a theorem of Salton, Swingle, and Walter impli…
Clifford operators in SU(N)1; N not odd prime
Howard J. Schnitzer
Farinholt gives a characterization of Clifford operators for qudits; d both odd and even. In this comment it is shown that the necessary gates for the construction of Clifford oper…