112 citations · 1.6k across the 89 of their papers we have counts for
89 papers
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…
Entropy Cones and Entanglement Evolution for Dicke States
William Munizzi, Howard J. Schnitzer
The -qubit Dicke states , of Hamming-weight , are a class of entangled states which play an important role in quantum algorithm optimization. We present a gene…
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 knot and link invariants
Howard J. Schnitzer
A number of results for the level-rank duality of Chern-Simons theory are summarized, with emphasis on the applications to knot and link invaria…
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.