Quantum speed limits across the quantum-to-classical transition

B Shanahan, A Chenu, N Margolus, A Del Campo - Physical review letters, 2018 - APS
Physical review letters, 2018APS
Quantum speed limits set an upper bound to the rate at which a quantum system can evolve.
Adopting a phase-space approach, we explore quantum speed limits across the quantum-to-
classical transition and identify equivalent bounds in the classical world. As a result, and
contrary to common belief, we show that speed limits exist for both quantum and classical
systems. As in the quantum domain, classical speed limits are set by a given norm of the
generator of time evolution.
Quantum speed limits set an upper bound to the rate at which a quantum system can evolve. Adopting a phase-space approach, we explore quantum speed limits across the quantum-to-classical transition and identify equivalent bounds in the classical world. As a result, and contrary to common belief, we show that speed limits exist for both quantum and classical systems. As in the quantum domain, classical speed limits are set by a given norm of the generator of time evolution.
American Physical Society
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