Dresden 2011 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 61: Quantum Information: Concepts and Methods 4
Q 61.7: Vortrag
Freitag, 18. März 2011, 12:00–12:15, SCH A118
How contextual is quantum mechanics? — •Matthias Kleinmann1, Otfried Gühne1, José Portillo2, Jan-Åke Larsson3, and Adán Cabello4 — 1Fachbereich Physik, Universität Siegen, D-57068 Siegen, Germany — 2Departamento de Mathemática Aplicada I, Universidad de Sevilla, E-41012 Sevilla, Spain — 3Institutionen för Systemteknik och Matematiska Institutionen, Linköpings Universitet, SE-581 83 Linköping, Sweden — 4Departamento de Física Aplicada II, Universidad de Sevilla, E-41012 Sevilla, Spain
The Kochen-Specker theorem proves that any classical model of quantum mechanics necessarily is contextual, i.e., the value of an observable depends on which other, compatible observable is measured simultaneously. We investigate classical models that simulate quantum contextuality for sequential measurements. Such models can be described by means of finite automata and we quantify the number of different states an automaton obtains during a measurement sequence as being the memory need of the automaton. We analyze this memory need for different scenarios and show that the simulation of a two-qubit system can require more than two bits of classical memory.