Metric character of the quantum Jensen-Shannon divergence
نویسندگان
چکیده
P. W. Lamberti, A. P. Majtey, A. Borras, M. Casas, and A. Plastino Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, and CONICET, C.C. 727, La Plata 1900, Argentina Departament de Física and IFISC, Universitat de les Illes Balears, 07122 Palma de Mallorca, Spain Instituto de Física La Plata, Universidad Nacional de La Plata and CONICET, C.C. 727, La Plata 1900, Argentina Received 10 January 2008; revised manuscript received 20 February 2008; published 9 May 2008
منابع مشابه
Properties of Classical and Quantum Jensen-Shannon Divergence
Jensen-Shannon divergence (JD) is a symmetrized and smoothed version of the most important divergence measure of information theory, Kullback divergence. As opposed to Kullback divergence it determines in a very direct way a metric; indeed, it is the square of a metric. We consider a family of divergence measures (JDα for α > 0), the Jensen divergences of order α, which generalize JD as JD1 = J...
متن کاملJensen divergence based on Fisher's information
The measure of Jensen-Fisher divergence between probability distributions is introduced and its theoretical grounds set up. This quantity, in contrast to the remaining Jensen divergences, is very sensitive to the fluctuations of the probability distributions because it is controlled by the (local) Fisher information, which is a gradient functional of the distribution. So, it is appropriate and ...
متن کاملGraph Characteristics from the Quantum Jensen-Shannon Graph Kernel
In this paper, we use the quantum Jensen-Shannon divergence as a means to establish the similarity between a pair of graphs and to develop a novel graph kernel. In quantum theory, the quantum Jensen-Shannon divergence is defined as a distance measure between quantum states. In order to compute the quantum Jensen-Shannon divergence between a pair of graphs, we first need to associate a density o...
متن کاملA quantum Jensen-Shannon graph kernel for unattributed graphs
In this paper, we use the quantum Jensen–Shannon divergence as a means of measuring the information theoretic dissimilarity of graphs and thus develop a novel graph kernel. In quantum mechanics, the quantum Jensen–Shannon divergence can be used to measure the dissimilarity of quantum systems specified in terms of their density matrices. We commence by computing the density matrix associated wit...
متن کاملCharacterizing graph symmetries through quantum Jensen-Shannon divergence.
In this paper we investigate the connection between quantum walks and graph symmetries. We begin by designing an experiment that allows us to analyze the behavior of the quantum walks on the graph without causing the wave function collapse. To achieve this, we base our analysis on the recently introduced quantum Jensen-Shannon divergence. In particular, we show that the quantum Jensen-Shannon d...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008