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Linear and Multilinear Algebra

Preface

Steve Kirkland, Chi-Kwong Li

Published Sep 25, 2011• 0 citations
Publisher

Abstract

This issue contains papers on two interrelated active research areas: Quantum Information Science, and Numerical Ranges. Some of the papers were presented at the Tenth Workshop on Numerical Ranges ...
DOI
10.1080/03081087.2011.610938

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Much of our present understanding of the microscopic world is based on quantum mechanics. The field owes much of its existence to the venerable science of optics, since the fundamental ideas on the nature of the interaction between light and matter lie at the roots of its origin. We have now reached one century of quantum mechanics. In contrast, the splendid blossoming of quantum optics began only after the comparatively recent invention of the laser. Since then, it has become an exciting and always expanding area at the cutting-edge of research, in part because theory and experiment are more closely connected in this field than any other. Moreover, the technological distance between fundamental studies and practical applications has always been very short in quantum optics. As a result, modern engineering is increasingly based on quantum rather than classical physics; we are facing a transition similar to the one society confronted 200 years ago, at the start of the Industrial Revolution. In parallel with this, the physics community is witnessing the recent and vigorous emergence of quantum information. It aims at exploring the physical foundations of information and at developing efficient methods for processing quantum information. The questions driving this field reveal a profound change in attitude towards fundamental aspects of quantum theory. The photon turns out to be a tool extremely well suited to exploring theoretical quantum information schemes and their experimental implementations. Mirroring this continued progress has been the growth and development of the series of annual Central European Workshops on Quantum Optics (CEWQO). The series started at the beginning of the 1990s, as rather small meetings of physicists from a few countries in central-eastern Europe. In two decades, the workshops have transformed into important events that reach well beyond the original rather restricted geographical limits. The history of CEWQOs can be found in the preface to the proceedings of the 15th CEWQO ( Physica Scripta 2009 T135 011005 ). The 18th edition of CEWQO (CEWQO11) was held in Madrid in 2011. There were about 250 participants, from practically every European country. Many colleagues from other continents also joined the event, including well-established researchers in the field. This is a clear demonstration that these meetings provide an excellent chance to hear about the latest results and new directions of research. The organization of CEWQO11 was carried out by a committee consisting of members active in this topic in Madrid. From Universidad Complutense, Alberto Galindo and Luis L Sánchez-Soto; from Universidad Autónoma, Jose Calleja and Carlos Tejedor; from Universidad Politécnica, Enrique Calleja; from Universidad Carlos III, Alberto Ibort; and from the National Research Council (CSIC), Juan León and Juan J García-Ripoll. Special thanks go to the Spanish Ministry for Science and Innovation, Universidad Complutense and the Quitemad Consortium for financial support. The proceedings of the 16th CEWQO held at the University of Turku, Finland and the 17th CEWQO held at the University of St Andrews, Scotland, UK are also available ( Physica Scripta 2010 T140 and Physica Scripta 2011 T143 ). The present Topical Issue is a collection of papers presented in Madrid; they represent an illustrative sample of the major achievements and trends in this area. In turn, they reflect the wide range of interests in this rapidly evolving field. Some collaborators from different scientific centres who could not, due to different reasons, come to Madrid, but participated in previous CEWQOs and plan to participate in future CEWQOs, also contributed to this issue. The papers are arranged alphabetically by the name of the first author. Special thanks goes to Roger Wäppling, the Managing Editor of Physica Scripta , and Graeme Watt, the Publisher, for the opportunity to publish CEWQO11. From a Physica Scripta Editorial Board meeting it was decided that Physica Scripta could offer a poster prize (200 euros + certificate) for young scientists (less than 30 years old) at the annual CEWQO conference. A panel of experts was formed to judge the posters which included Apostol Vourdas, University of Bradford, UK (Chairman), Alberto Ibort, University Carlos III of Madrid, Spain, Andrei Klimov, University of Guadalajara, Mexico, Margarita A Man'ko, P N Lebedev Physical Institute, Moscow, Russia and Antonino Messina, University of Palermo, Italy. The poster ''How can we check the uncertainty relation?'' by Vladimir Chernega, PhD student of the P N Lebedev Physical Institute, won the prize. The 19th Central European Workshop on Quantum Optics will be held in Sinaia, Romania on 2–6 July 2012. It will be chaired by Professor Aurelian Isar from the Horia Hulubei National Institute for Research and Development in Physics and Nuclear Engineering, Bucharest.