Entanglement and the Quantum Brachistochrone Problem
| Autor: | A. Borras, Angelo Plastino, Claudia Zander, A. R. Plastino, Montserrat Casas |
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| Rok vydání: | 2008 |
| Předmět: |
Physics
Quantum Physics Physical system Quantum Brachistochrone Problem FOS: Physical sciences General Physics and Astronomy Context (language use) Quantum entanglement Quantum evolution Classical mechanics Time-Optimal Quantum Evolution Quantum state Computational physics Quantum Physics (quant-ph) Quantum Brachistochrone curve Physical law |
| Zdroj: | Digital.CSIC. Repositorio Institucional del CSIC instname |
| Popis: | PACS numbers: 03.65.Xp, 03.65.Ca, 03.67.Lx, 03.67.Hk.-- Texto completo: arXiv:0801.3393v2 Entanglement is closely related to some fundamental features of the dynamics of composite quantum systems: quantum entanglement enhances the "speed" of evolution of certain quantum states, as measured by the time required to reach an orthogonal state. The concept of "speed" of quantum evolution constitutes an important ingredient in any attempt to determine the fundamental limits that basic physical laws impose on how fast a physical system can process or transmit information. Here we explore the relationship between entanglement and the speed of quantum evolution in the context of the quantum brachistochrone problem. Given an initial and a final state of a composite system we consider the amount of entanglement associated with the brachistochrone evolution between those states, showing that entanglement is an essential resource to achieve the alluded time-optimal quantum evolution. The financial assistance of the National Research Foundation (NRF; South African Agency) towards this research is hereby acknowledged. Opinions expressed and conclusions arrived at, are those of the authors and are not necessarily to be attributed to the NRF. This work was partially supported by the MEC grant FIS2005- 02796 (Spain) and FEDER (EU), by the Government of Balearic Islands, and by CONICET (Argentine Agency). A. Borr´as acknowledges support from FPU grant AP- 2004-2962 (MEC-Spain). |
| Databáze: | OpenAIRE |
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