Multivariate Trace Inequalities

Presented at the QMath13 Conference: Mathematical Results in Quantum Theory, October 8-11, 2016 at the Clough Undergraduate Learning Commons, Georgia Tech.Quantum Information - Saturday, October 8th, 2016, Skiles 268 - Chair: Christopher KingMario Berta is with the California Institute of Technology

Sensory augmentation and the tactile sublime

This paper responds to recent developments in the field of sensory augmentation by analysing several technological devices that augment the sensory apparatus using the tactile sense. First, I will define the term sensory augmentation, as the use of technological modification to enhance the sensory apparatus, and elaborate on the preconditions for successful tactile sensory augmentation. These are the adaptability of the brain to unfamiliar sensory input and the specific qualities of the skin lending themselves to be used for the perception of additional sensory information. Two devices, Moon Ribas’ Seismic Sense and David Eagleman’s vest, will then be discussed as potential facilitators of aesthetic experiences in virtue of the tactile sensory augmentation that these devices allow. I will connect the experiences afforded by these devices to the Kantian categories of the mathematical and the dynamical sublime, and to existing accounts of tactile sublimity. Essentially, the objects these devices make sensible, earthquakes for the Seismic Sense and digital information for the vest, produce pleasurable feelings of potential danger, awe, and respect. The subsequent acclimation to this new way of sensing and the aim to comprehend its sensed object are then discussed as possible objections to the interpretation of these experiences as sublime, and as aesthetic in general. To exemplify these issues and concretise my thesis of tactile sensory augmentation as a trigger of the sublime, I will outline an experiment to use the vest as an aid for faster decision making on the stock market

Machine learning for early detection of traffic congestion using public transport traffic data

The purpose of this project is to provide better knowledge of how the bus travel times is affected by congestion and other problems in the urban traffic environment. The main source of data for this study is second-level measurements coming from all buses in the Linköping region showing the location of each vehicle.The main goal of this thesis is to propose, implement, test and optimize a machine learning algorithm based on data collected from regional buses from Sweden so that it is able to perform predictions on the future state of the urban traffic.El objetivo principal de este proyecto es proponer, implementar, probar y optimizar un algoritmo de aprendizaje automático basado en datos recopilados de autobuses regionales de Suecia para que poder realizar predicciones sobre el estado futuro del tráfico urbano.L'objectiu principal d'aquest projecte és proposar, implementar, provar i optimitzar un algoritme de machine learning basat en dades recollides a partir d'autobusos regionals de Suècia de manera per poder realitzar prediccions sobre l'estat futur del trànsit urbà

Severe Mental Illness in Community Mental Health Care in Spain: Prevalence and Related Factors.

The term severe mental illness (SMI) has been used in psychiatry to refer to long-term mental health conditions that involve severe behavioural problems, disability, and social dysfunction. To date, definitive and consensual criteria for SMI are lacking, although these criteria are essential to determine the prevalence of SMI.The aim of this study was to determine the prevalence of severe mental illness (SMI) in patients in contact with mental health services and to determine the factors associated with SMI. A total of 260 patients who met diagnostic criteria for SMI were assessed using GAF and HoNOS scales. The overall prevalence of SMI was 6.08 per thousand. According to the three different cutoff points with GAF, the prevalence of SMI ranged from 5.38 per thousand under the weak criterion (GAF < 70) to 1.01 per thousand under the strict criterion (GAF < 50). In the regression model, the dependent variable (presence of SMI) was defined using a GAF < 60, and the variables independently associated with the dependent variable were years of disease duration since diagnoses, mental health service use, alcohol or other substance abuse, and depressive anxiety and other psychological symptoms.Universidad de Malaga. Campus de Excelencia Internacional Andalucía Tech. This work was supported by the Andalusian Government (grant number 167/04; PI-0332/08)

The Fidelity of Recovery is Multiplicative

Fawzi and Renner [Commun. Math. Phys. 340(2):575, 2015] recently established a lower bound on the conditional quantum mutual information (CQMI) of tripartite quantum states $ABC$ in terms of the fidelity of recovery (FoR), i.e. the maximal fidelity of the state $ABC$ with a state reconstructed from its marginal $BC$ by acting only on the $C$ system. The FoR measures quantum correlations by the local recoverability of global states and has many properties similar to the CQMI. Here we generalize the FoR and show that the resulting measure is multiplicative by utilizing semi-definite programming duality. This allows us to simplify an operational proof by Brandao et al. [Phys. Rev. Lett. 115(5):050501, 2015] of the above-mentioned lower bound that is based on quantum state redistribution. In particular, in contrast to the previous approaches, our proof does not rely on de Finetti reductions.Comment: v2: 9 pages, published versio

Smooth Entropy Bounds on One-Shot Quantum State Redistribution

In quantum state redistribution as introduced in [Luo and Devetak (2009)] and [Devetak and Yard (2008)], there are four systems of interest: the $A$ system held by Alice, the $B$ system held by Bob, the $C$ system that is to be transmitted from Alice to Bob, and the $R$ system that holds a purification of the state in the $ABC$ registers. We give upper and lower bounds on the amount of quantum communication and entanglement required to perform the task of quantum state redistribution in a one-shot setting. Our bounds are in terms of the smooth conditional min- and max-entropy, and the smooth max-information. The protocol for the upper bound has a clear structure, building on the work [Oppenheim (2008)]: it decomposes the quantum state redistribution task into two simpler quantum state merging tasks by introducing a coherent relay. In the independent and identical (iid) asymptotic limit our bounds for the quantum communication cost converge to the quantum conditional mutual information $I(C:R|B)$, and our bounds for the total cost converge to the conditional entropy $H(C|B)$. This yields an alternative proof of optimality of these rates for quantum state redistribution in the iid asymptotic limit. In particular, we obtain a strong converse for quantum state redistribution, which even holds when allowing for feedback.Comment: v3: 29 pages, 1 figure, extended strong converse discussio