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Proceedings 2017, 1(3), 199; doi:10.3390/IS4SI-2017-04041

Cuts, Qubits, and Information

Department of Philosophy and Communication Studies, University of Bologna, via Zamboni 38,I-40126 Bologna, Italy
Presented at the IS4SI 2017 Summit DIGITALISATION FOR A SUSTAINABLE SOCIETY, Gothenburg, Sweden, 12–16 June 2017.
Published: 9 June 2017
Download PDF [190 KB, uploaded 20 July 2017]

Abstract

In his search for the ‘essence’ of continuity, Richard Dedekind (1872) discovered the notion of cut. Epistemologically speaking, a cut produces a separation of a simply infinite system into two parts (Stücke) such that all the elements of one part are screened off all the elements of the other. The distinct continuity of a two-state quantum system is encapsulated in the notion of qubit, the basic ‘unit’ of quantum information. A qubit secures an infinite amount of information, which, however, appears to be only penetrable through ‘sections’ of classical bits. Whereas Dedekind’s cuts dwell on the discrete of number theory, the theory of nature is primarily concerned with continuous transformations. In contrast with Dedekind’s line of thought, could the notion of information be derived from a ‘principle’ of continuity?
Keywords: continuity; cuts; distinguishability; correlations continuity; cuts; distinguishability; correlations
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. (CC BY 4.0).

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Lupacchini, R. Cuts, Qubits, and Information. Proceedings 2017, 1, 199.

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