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• W2113137717 abstract "We ask how quantum theory compares to more general physical theories from the point of view of dimension. To do so, we first give two model-independent definitions of the dimension of physical systems, based on measurements and the capacity of storing information. While both definitions are equivalent in classical and quantum mechanics, they are different in generalized probabilistic theories. We discuss in detail the case of a theory known as 'boxworld', and show that such a theory features systems with dimension mismatch. This dimension mismatch can be made arbitrarily large using an amplification procedure. Furthermore, we show that the dimension mismatch of boxworld has strong consequences on its power for performing information-theoretic tasks, leading to the collapse of communication complexity and to the violation of information causality. Finally, we discuss the consequences of a dimension mismatch from the perspective of thermodynamics, and ask whether this effect could break Landauerʼs erasure principle and thus the second law." @default.
• W2113137717 created "2016-06-24" @default.
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• W2113137717 date "2014-12-17" @default.
• W2113137717 modified "2023-10-06" @default.
• W2113137717 title "Dimension of physical systems, information processing, and thermodynamics" @default.
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• W2113137717 doi "https://doi.org/10.1088/1367-2630/16/12/123050" @default.
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