We formulate sufficient conditions for the strong integrability of dressing cosets. provide several sigma-model backgrounds solving those conditions, some them are new and were not so far formulated as The models based on Drinfeld doubles having structure higher-order jet bundles quadratic Lie groups.
An ordinary voltage graph embedding in a surface encodes a certain kind of highly symmetric covering space of that surface. Given an ordinary voltage graph embedding of a graph G in a surface with voltage group A and a connected subgraph H of G, we define special subgroups of A that depend on H and show how cosets of these groups in A can be used to find topological information concerning the d...
In 2012, Aaronson and Christiano introduced the idea of hidden subspace states to build public-key quantum money [STOC ’12]. Since then, this has been applied realize several other cryptographic primitives which enjoy some form unclonability.
