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

Understand

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.