HOLIK Federico Hernan
congresos y reuniones científicas
A discussion about the ontological commitments of quantum information theory
Congreso; CLMPS-15; 2015
At present it is usually assumed that quantum information is inextricably linked to quantum mechanics. The fact that non-orthogonal quantum states cannot be distinguished by single measurements is sometimes taken as a proof of this link. Thus, some authors consider quantum information as information represented in non- orthogonal states. Nevertheless, there are classical models which can be reformulated in such a way that non- orthogonal states appear. As some authors stress, certain features traditionally considered as peculiarly quantum can be recovered in a formalism that deals with classical mixed states defined as probability measures over a classical phase space (or in the Hilbert space formalism of classical statistical mechanics).In this work we will consider ?Quantum Models of Classical Systems? (QMCS), that is, classical systems that are modeled classical systems that are modeled by means of mathematical descriptions that simulatequantum properties. They can be used to reproduce interference phenomena and other quantum features such as entanglement and contextuality. We will focus in the so-called ?elastic band model?, in which the probabilities are non-Kolmogorovian, and the quantum to classical transition depends on the value of a continuous parameter. We will also discuss recent experiments based on the study of non-coalescent liquid droplets coupled to pilot waves in the surface of a vibrating liquid. The aim of this article is to study the role of the QMCS in quantum information theory from an ontological perspective. In particular, we will address the following question: how necessary are quantum systems in order to reproduce the main features of what is called quantum information theory? We will tackle the task by analyzing some examples of QMCS and their capability of reproducing quantum informationprotocols.