Information 2014, 5(1), 172-189; doi:10.3390/info5010172
Article

Equivalence of the Symbol Grounding and Quantum System Identification Problems

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Received: 13 November 2013; in revised form: 4 December 2013 / Accepted: 26 February 2014 / Published: 27 February 2014
(This article belongs to the Special Issue Physics of Information)
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: The symbol grounding problem is the problem of specifying a semantics for the representations employed by a physical symbol system in a way that is neither circular nor regressive. The quantum system identification problem is the problem of relating observational outcomes to specific collections of physical degrees of freedom, i.e., to specific Hilbert spaces. It is shown that with reasonable physical assumptions these problems are equivalent. As the quantum system identification problem is demonstrably unsolvable by finite means, the symbol grounding problem is similarly unsolvable.
Keywords: decoherence; decompositional equivalence; physical symbol system;observable-dependent exchange symmetry; semantics; tensor-product structure
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MDPI and ACS Style

Fields, C. Equivalence of the Symbol Grounding and Quantum System Identification Problems. Information 2014, 5, 172-189.

AMA Style

Fields C. Equivalence of the Symbol Grounding and Quantum System Identification Problems. Information. 2014; 5(1):172-189.

Chicago/Turabian Style

Fields, Chris. 2014. "Equivalence of the Symbol Grounding and Quantum System Identification Problems." Information 5, no. 1: 172-189.

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