Fundamental Limits on the Speed of Evolution of Quantum States

Details Fundamental Limits on the Speed of Evolution of Quantum States Fundamental Limits on the Speed of Evolution of Quantum States

2009-12-22

arxiv.org/abs/0912.4505v3

Physics

Quantum Physics

6 pages, 1 eps figure

Scientific paper

This paper reports on some new inequalities of Margolus-Levitin-Mandelstam-Tamm-type involving the speed of quantum evolution between two orthogonal pure states. The clear determinant of the qualitative behavior of this time scale is the statistics of the energy spectrum. An often-overlooked correspondence between the real-time behavior of a quantum system and the statistical mechanics of a transformed (imaginary-time) thermodynamic system appears promising as a source of qualitative insights into the quantum dynamics.

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