Geometric derivation of the quantum speed limit
| Autor: | Philip J. Jones, Pieter Kok |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Physics
Quantum Physics Quantum t-design FOS: Physical sciences Atomic and Molecular Physics and Optics Open quantum system Theoretical physics Quantum probability Classical mechanics Quantum process Trace distance Quantum operation Quantum Physics (quant-ph) Quantum statistical mechanics Counterexample |
| Zdroj: | Physical Review A. 82 |
| ISSN: | 1094-1622 1050-2947 |
| DOI: | 10.1103/physreva.82.022107 |
| Popis: | 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 non-unitary evolution. 8 pages, 1 figure. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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