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Entropy 2011, 13(4), 778-789; doi:10.3390/e13040778

Quantum Kolmogorov Complexity and Information-Disturbance Theorem

Research Center for Information Security, National Institute of Advanced Industrial Science and Technology, Daibiru building 1003, Sotokanda, Chiyoda-ku, Tokyo, 101-0021, Japan
Received: 17 January 2011 / Revised: 9 March 2011 / Accepted: 24 March 2011 / Published: 29 March 2011
(This article belongs to the Special Issue Kolmogorov Complexity)
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Abstract

In this paper, a representation of the information-disturbance theorem based on the quantum Kolmogorov complexity that was defined by P. Vit´anyi has been examined. In the quantum information theory, the information-disturbance relationship, which treats the trade-off relationship between information gain and its caused disturbance, is a fundamental result that is related to Heisenberg’s uncertainty principle. The problem was formulated in a cryptographic setting and the quantitative relationships between complexities have been derived.
Keywords: quantum Kolmogorov complexity; information-disturbance theorem; uncertainty principle quantum Kolmogorov complexity; information-disturbance theorem; uncertainty principle
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Miyadera, T. Quantum Kolmogorov Complexity and Information-Disturbance Theorem. Entropy 2011, 13, 778-789.

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