Until now, determining whether combinations of quantum states would themselves remain predictably Gaussian has remained an open problem. This work demonstrates that providing even one ‘faithful’ Gaussian input guarantees both a uniquely defined and entirely Gaussian resulting barycenter, a result previously unproven. Furthermore, it establishes how these quantum solutions converge towards their classical counterparts in transport theory.
Researchers Find Gaussian States Yield Unique Quantum Transport Barycentres
Until now, determining whether combinations of quantum states would themselves remain predictably Gaussian has remained an open problem. This work demonstrates that providing even one ‘faithful’ Gaussian input guarantees both a uniquely defined and entirely Gaussian resulting barycenter, a result previously unproven. Furthermore, it establishes how these quantum solutions converge towards their classical counterparts in transport theory.