Geometric derivation of the quantum speed limit
By Philip Jones, Pieter Kok. 2010
138 citations recorded by the source corpus.
The Mandelstam-Tamm and Margolus-Levitin inequalities play an important role in the study of quantum-mechanical processes in nature since they provide general limits on the speed of dynamical evolution. However, to date there has been only one derivation of the Margolus-Levitin inequality. In this paper, alternative geometric derivations for both inequalities are obtained from the statistical distance between quantum states. The inequalities are shown to hold for unitary evolution of pure and mixed states, and a counterexample to the inequalities is given for evolution described by completely positive trace-preserving maps. The counterexample shows that there is no quantum speed limit for nonunitary evolution.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/4c0c1ea374debafd6f2d20871b837265ee62c62f
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
In Statistical and Nonlinear Physics
Citations in the corpus
- Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017, methodology): “The fundamental difference, however, becomes obvious for parameterised, driven, and time-dependent L(ρt) [75].”