INVESTIGADORES
LAMBERTI Pedro Walter
artículos
Título:
Wave functions´ discernability and the role of fluctuations
Autor/es:
M. CASAS; PEDRO W. LAMBERTI; ANGEL PLASTINO; ANGEL R. PLASTINO; G. ROSTON
Revista:
IL NUOVO CIMENTO
Editorial:
Società Italiana di Fisica
Referencias:
Año: 2005 vol. 120 p. 521 - 532
ISSN:
0393-4578
Resumen:
The question of distinguishability of quantum states is at the heart of quantum information processing, an issue is here addressed with reference to different distances in probability space vis-a-vis metrics in Hilbert’s one. We pro-vide further reconfirmation of Wootters’ hypothesis: the possibility that statistical uctuations in the outcomes of measurements be regarded as responsible for the Hilbert-space structure of quantum mechanics, a view that becomes here consider-ably strengthened. We show that distances between neighboring states, whether of statistical or Hilbert’s metric origin, have as a lower bound the Fisher’s measure, up to second order approximation. As a consequence, the structure of the vicinity of a given quantum state is to a large extent determined by the uctuations of the pertinent observables. It is also shown that Tsallis’ non-extensivity parameter q can be used as a tool for increasing discernibility between wave functions.metrics in Hilbert’s one. We pro-vide further reconfirmation of Wootters’ hypothesis: the possibility that statistical uctuations in the outcomes of measurements be regarded as responsible for the Hilbert-space structure of quantum mechanics, a view that becomes here consider-ably strengthened. We show that distances between neighboring states, whether of statistical or Hilbert’s metric origin, have as a lower bound the Fisher’s measure, up to second order approximation. As a consequence, the structure of the vicinity of a given quantum state is to a large extent determined by the uctuations of the pertinent observables. It is also shown that Tsallis’ non-extensivity parameter q can be used as a tool for increasing discernibility between wave functions.q can be used as a tool for increasing discernibility between wave functions.