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arXiv · 1201.5334

Mathematical foundations of quantum information: Measurement and foundations

Masanao Ozawa
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Abstract

The purpose of this paper is to survey some topics on mathematical foundations of quantum information developed mainly by the present author and co-workers for the last three decades. The topics include an axiomatic construction of quantum measurement theory based on completely positive map-valued measures, a universally valid new formulation of the uncertainty principle for error and disturbance in quantum measurements, the Wigner-Araki-Yanase limit of quantum measurements, the accuracy limit of quantum computing based on conservation laws, and a quantum interpretation based on quantum set theory.

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Masanao Ozawa. 2014-09-21. Mathematical foundations of quantum information: Measurement and foundations. https://doi.org/10.11429/sugaku.0612113

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