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

Equivalence of the Symbol Grounding and Quantum System Identification Problems

Received: 13 November 2013 / Revised: 4 December 2013 / Accepted: 26 February 2014 / Published: 27 February 2014
(This article belongs to the Special Issue Physics of Information)
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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 decoherence; decompositional equivalence; physical symbol system; observable-dependent exchange symmetry; semantics; tensor-product structure
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.

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

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