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Quantum Machine Learning Quantum Foundations

Formal Series of Generalised Functions and Their Application to Deformation Quantisation

arXiv

Authors: Jaromir Tosiek, Michał Dobrski

Year

2016

Paper ID

43418

Status

Preprint

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~2 min

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Abstract

Foundations of the formal series * - calculus in deformation quantisation are discussed. Several classes of continuous linear functionals over algebras applied in classical and quantum physics are introduced. The notion of nonnegativity in formal series calculus is proposed. Problems with defining quantum states over the set of formal series are analysed.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1609.06992 [2] arXiv https://arxiv.org/abs/1609.06992 [3] Publisher https://arxiv.org/abs/1609.06992

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