Optimal discrimination of quantum states with a fixed rate of inconclusive outcomes

In this paper we present the solution to the problem of optimally discriminating among quantum states, i.e., identifying the states with maximum probability of success when a certain fixed rate of inconclusive answers is allowed. By varying the inconclusive rate, the scheme optimally interpolates between Unambiguous and Minimum Error discrimination, the two standard approaches to quantum state discrimination. We introduce a very general method that enables us to obtain the solution in a wide range of cases and give a complete characterization of the minimum discrimination error as a function of the rate of inconclusive answers. A critical value of this rate is identified that coincides with the minimum failure probability in the cases where unambiguous discrimination is possible and provides a natural generalization of it when states cannot be unambiguously discriminated. The method is illustrated on two explicit examples: discrimination of two pure states with arbitrary prior probabilities and discrimination of trine states

Decoherence assisting a measurement-driven quantum evolution process

We study the problem of driving an unknown initial mixed quantum state onto a known pure state without using unitary transformations. This can be achieved, in an efficient manner, with the help of sequential measurements on at least two unbiased bases. However here we found that, when the system is affected by a decoherence mechanism, only one observable is required in order to achieve the same goal. In this way the decoherence can assist the process. We show that, depending on the sort of decoherence, the process can converge faster or slower than the method implemented by means of two complementary observables.Comment: Four pages, three figures included ([email protected]

Optimal discrimination of quantum states with a fixed rate of inconclusive outcomes

We present the solution to the problem of optimally discriminating among quantum states, i.e., identifying the states with maximum probability of success when a certain fixed rate of inconclusive answers is allowed. By varying the inconclusive rate, the scheme optimally interpolates between unambiguous and minimum error discrimination, the two standard approaches to quantum state discrimination. We introduce a very general method that enables us to obtain the solution in a wide range of cases and give a complete characterization of the minimum discrimination error as a function of the rate of inconclusive answers. A critical value of this rate is identified that coincides with the minimum failure probability in the cases where unambiguous discrimination is possible and provides a natural generalization of it when states cannot be unambiguously discriminated. The method is illustrated on two explicit examples: discrimination of two pure states with arbitrary prior probabilities and discrimination of trine states

Morichales, cananguchales y otros palmares inundables de Suramérica. Parte II: Colombia, Venezuela, Brasil, Perú, Bolivia, Paraguay, Uruguay y Argentina

El libro está dividido en cuatro partes. En la primera sección se incluye un análisis muy completo sobre el estado del conocimiento, uso y conservación de Mauritia flexuosa en Suramérica. En la segunda parte se consideran varios casos de estudio (11) sobre comunidades de plantas asociadas, demografía, polinizadores, aves y mamíferos relacionados, así como temas de manejo y ecoturismo en palmares de Mauritia flexuosa. La tercera sección incluye aportes de varios países sobre otros palmares, principalmente de Astrocaryum jauari, Butia odorata, B. paraguayensis, Copernicia alba, C. tectorum, Euterpe oleracea, Manicaria saccifera, Mauritiella aculeata y Roystonea oleracea. También se aporta información de 25 especies adicionales de palmas, incluyendo los usos, dinámica de poblaciones, biología reproductiva, florística de humedales asociados y conservación, entre otros aspectos. Por último, en la cuarta parte se dan las conclusiones y recomendaciones para la conservación de los palmares inundables en Suramérica.Bogotá, D. C