Quick Navigation

Overview Topics Abstract Importance Paper Tools References Reactions Discussion Publication Related

Topics

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

Abstract Read

~2 min

Abstract Words

Citations

N/A

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.

Why This Paper Matters

This paper contributes to the Quantum Machine Learning research area in the Quantum Articles archive.
It adds a 2016 reference point for readers tracking recent quantum research.
Foundations of the formal series * - calculus in deformation quantisation are discussed.

Paper Tools

Become a member to use research tools

Sign in to open papers, visit source links, share, cite, compare, copy DOI links, request category corrections, and build your reading list.

Become a member Sign in

Show Paper arXiv Publisher Share Cite This Paper Copy URL Compare Copy DOI Add to Reading List Category Correction Request

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

Local Citation Graph (Related-Paper Links)

External citation index: OpenAlex citation signal

Community Reactions

Quick sentiment from readers on this paper.

Score: 0

Likes: 0 Dislikes: 0

Discussion & Reviews (Moderated)

Average Rating: 0.0 / 5 (0 ratings)

No written reviews yet.