Physics – Quantum Physics
Scientific paper
2011-04-27
Physics
Quantum Physics
9 pages, revised derivation and new results
Scientific paper
We derive generalizations of the energy-time uncertainty relation for driven quantum systems. Using a geometric approach based on the Bures length between mixed quantum states, we obtain explicit expressions for the quantum speed limit time, valid for arbitrary initial and final quantum states and arbitrary driving protocols. Our results establish the fundamental limit on the rate of evolution of generic quantum systems.
Deffner Sebastian
Lutz Eric
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