In the problem of asymptotic binary i.i.d. state discrimination, optimal asymptotics type I and II error probabilities is in general an exponential decrease to zero as a function number samples; set achievable exponent pairs characterized by quantum Hoeffding bound theorem. A super-exponential for both types only possible trivial case when two states are orthogonal, hence can be perfectly disti...

We analyze the difference in the local distinguishability among the following three restrictions; (i) Local operations and only one-way classical communications (one-way LOCC) are permitted. (ii) Local operations and two-way classical communications (two-way LOCC) are permitted. (iii) All separable operations are permitted. We obtain two main results concerning the discrimination between a give...

For a 3D electrical impedance tomography (EIT) system, it is necessary to improve electrode geometries placed around a body surface, and correspondingly apply stimulation and measurement patterns to produce maximum distinguishability. Advanced EIT image reconstruction requires designing systems with the electrode geometry and current injection such that the full ensemble of measurements provide...

Andy Adler1, Pascal Gaggero2 and Yasheng Maimaitijiang1 1Carleton University, Ottawa, Canada 2Centre Suisse d’Electronique et de Microtechnique, Landquart, Switzerland Abstract: In this paper we propose a novel formulation for the distinguishability of conductivity targets in electrical impedance tomography (EIT). It is formulated in terms of a classic hypothesis test to make it directly applic...

Object tracking is crucial to surveillance systems, which provide target information including position, size, and velocity. This paper presents a data association process combining two primary components of visual features and spatiotemporal prediction. In addition, the change perception and the visual distinguishability are utilized to adaptively combine the two primary components. The propos...

We provide a compendium of inequalities between several quantum state distinguishability measures. For each measure these inequalities consist of the sharpest possible upper and lower bounds in terms of another measure. Some of these inequalities are already known, but new or more general proofs are given, whereas other inequalities are new. We also supply cases of equality to show that all ine...