Quantum limits to dynamical evolution
By Vittorio Giovannetti, Seth Lloyd, Lorenzo Maccone. 2002
310 citations recorded by the source corpus.
We establish the minimum time it takes for an initial state of mean energy E and energy spread {delta}E to move from its initial configuration by a predetermined amount. Distances in Hilbert space are estimated by the fidelity between the initial and final states. In this context, we study the role of entanglement among subsystems in speeding up the dynamics of a composite system.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/f36ccb7598f91641478524fa842701459ee2835a
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In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles (2016, background): “ the numerical results is seen in Fig. 25 (d). Note that for t < π/(2γ) the probability decay coincides with the ultimate bound established by the energy-time uncertainty relation,W0(t) ≥ cos2(γt) [223, 224, 225, 226, 227]. After reaching the saturation point for the first time, W0(t) still shows ”
- Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017, unknown): “where α(F) ≈ β2(F) = 4 arccos2( √ F)/π2 from [71].”