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quant-ph2022★ 1 cited
Transpiling Quantum Circuits using the Pentagon Equation
Christos Aravanis, Georgios Korpas, Jakub Marecek
We consider the application of the pentagon equation in the context of quantum circuit compression. We show that if solutions to the pentagon equation are found, one can transpile…
math.OC2022★ 2 cited
Polynomial Matrix Inequalities within Tame Geometry
Christos Aravanis, Johannes Aspman, Georgios Korpas +1
Polynomial matrix inequalities can be solved using hierarchies of convex relaxations, pioneered by Henrion and Lassere. In some cases, this might not be practical, and one may need…