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Entanglement and the Quantum Brachistochrone Problem

AutorBorras, A.; Zander, Claudia; Plastino, Ángel R.; Casas, Montserrat ; Plastino, A.
Palabras claveComputational physics
Time-Optimal Quantum Evolution
Quantum Brachistochrone Problem
Fecha de publicación2008
EditorInstitute of Physics Publishing
CitaciónEurophysics Letters 81: 30007 (2008)
ResumenEntanglement 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.
DescripciónPACS numbers: 03.65.Xp, 03.65.Ca, 03.67.Lx, 03.67.Hk.-- Texto completo: arXiv:0801.3393v2
Versión del editorhttp://dx.doi.org/10.1209/0295-5075/81/30007
URIhttp://hdl.handle.net/10261/47122
DOI10.1209/0295-5075/81/30007
ISSN0295-5075
E-ISSN1286-4854
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