Quantifying coherence is an essential endeavor for both quantum mechanical foundations and technologies. We present a bona fide measure of by utilizing the Tsallis relative operator (α,β)-entropy. first prove that proposed fulfills all criteria well defined measure, including strong monotonicity in resource theories coherence. then study ordering (α,β)-entropy coherence, α-entropies Rényi α-ent...

We introduce a generalized approach to characterize the non-Markovianity of quantum dynamical maps via breakdown monotonicity thermodynamic functions. By adopting an entropy-based formulation thermodynamics, we use relationship between heat and entropy propose measure based on flow for single-qubit evolutions. This can be applied unital that do not invert sign internal energy. Under certain con...

Rule-based stemmers such as the Porter stemmer are frequently used to preprocess English corpora for topic modeling. In this work, we train and evaluate topic models on a variety of corpora using several different stemming algorithms. We examine several different quantitative measures of the resulting models, including likelihood, coherence, model stability, and entropy. Despite their frequent ...

This paper introduces a maximum entropy method to Discourse Coherence Modeling (DCM). Different from the state-of-art supervised entity-grid model and unsupervised cohesion-driven model, the model we proposed only takes as input lexicon features, which increases the training speed and decoding speed significantly. We conduct an evaluation on two publicly available benchmark data sets via senten...

We propose a new model for probabilistic image segmentation with spatial coherence through a Markov Random Field prior. Our model is based on a generalized information measure between discrete probability distribution (βMeasure). This model generalizes the quadratic Markov measure field models (QMMF). In our proposal, the entropy control is achieved trough the likelihood energy. This entropy co...

We show that trace distance measure of coherence is a strong monotone for all qubit and, so called, X states. An expression for the trace distance coherence for all pure states and a semi definite program for arbitrary states is provided. We also explore the relation between l1-norm and relative entropy based measures of coherence, and give a sharp inequality connecting the two. In addition, it...

We establish an operational theory of coherence (or of superposition) in quantum systems, by focusing on the optimal rate of performance of certain tasks. Namely, we introduce the two basic concepts — “coherence distillation” and “coherence cost” in the processing quantum states under so-called incoherent operations [Baumgratz/Cramer/Plenio, Phys. Rev. Lett. 113:140401 (2014)]. We then show tha...