Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control

One of the most widely known building blocks of modern physics is Heisenberg's indeterminacy principle. Among the different statements of this fundamental property of the full quantum mechanical nature of physical reality, the uncertainty relation for energy and time has a special place. Its interpretation and its consequences have inspired continued research efforts for almost a century. In its modern formulation, the uncertainty relation is understood as setting a fundamental bound on how fast any quantum system can evolve. In this Topical Review we describe important milestones, such as the Mandelstam-Tamm and the Margolus-Levitin bounds on the quantum speed limit, and summarise recent applications in a…

• NS
  National Science Foundation

  Awards: CHE-1648973, 1648973
• DF
  Directorate for Biological Sciences

  Award: CHE-1648973
• DO
  Division of Chemistry

  Award: CHE-1648973