A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
GUIDE TO MATHEMATICAL CONCEPTS OF QUANTUM THEORY
Tekijät: Heinosaari T, Ziman M
Kustantaja: SLOVAK ACAD SCIENCES INST PHYSICS
Julkaisuvuosi: 2008
Lehti:: Acta Physica Slovaca
Tietokannassa oleva lehden nimi: ACTA PHYSICA SLOVACA
Lehden akronyymi: ACTA PHYS SLOVACA
Vuosikerta: 58
Numero: 4
Aloitussivu: 487
Lopetussivu: 674
Sivujen määrä: 188
ISSN: 0323-0465
DOI: https://doi.org/10.2478/v10155-010-0091-y
Tiivistelmä
Quantum Theory is one of the pillars of modern science developed over the last hundred years. In this review paper we introduce, step by step, the quantum theory understood as a mathematical model describing quantum experiments. We start with splitting the experiment into two parts: a preparation process and a measurement process leading to a registration of a particular outcome. These two ingredients of the experiment are represented by states and effects, respectively. Further, the whole picture of quantum measurement will be developed and concepts of observables, instruments and measurement models representing the three different descriptions on experiments will be introduced. In the second stage, we enrich the model of the experiment by introducing the concept of quantum channel describing the system changes between preparations and measurements. At the very end we review the elementary properties of quantum entanglement. The text contains many examples and exercise covering also many topics from quantum information theory and quantum measurement theory. The goal is to give a mathematically clear and self-containing explanation of the main concepts of the modern language of quantum theory.
Quantum Theory is one of the pillars of modern science developed over the last hundred years. In this review paper we introduce, step by step, the quantum theory understood as a mathematical model describing quantum experiments. We start with splitting the experiment into two parts: a preparation process and a measurement process leading to a registration of a particular outcome. These two ingredients of the experiment are represented by states and effects, respectively. Further, the whole picture of quantum measurement will be developed and concepts of observables, instruments and measurement models representing the three different descriptions on experiments will be introduced. In the second stage, we enrich the model of the experiment by introducing the concept of quantum channel describing the system changes between preparations and measurements. At the very end we review the elementary properties of quantum entanglement. The text contains many examples and exercise covering also many topics from quantum information theory and quantum measurement theory. The goal is to give a mathematically clear and self-containing explanation of the main concepts of the modern language of quantum theory.
Turun yliopiston Tutkimustietojärjestelmän portaali