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quant-ph2015★ 23 cited
Yang-Baxter operators need quantum entanglement to distinguish knots
Gorjan Alagic, Michael Jarret, Stephen P. Jordan
Any solution to the Yang-Baxter equation yields a family of representations of braid groups. Under certain conditions, identified by Turaev, the appropriately normalized trace of t…
math.SP2015
Modulus of continuity eigenvalue bounds for homogeneous graphs and convex subgraphs with applications to quantum Hamiltonians
Michael Jarret, Stephen P. Jordan
We adapt modulus of continuity estimates to the study of spectra of combinatorial graph Laplacians, as well as the Dirichlet spectra of certain weighted Laplacians. The latter case…