期刊
FOUNDATIONS OF PHYSICS
卷 47, 期 8, 页码 1042-1059出版社
SPRINGER
DOI: 10.1007/s10701-017-0090-7
关键词
SIC-POVMs; Algebraic number theory; Hilbert's 12th problem
资金
- Australian Research Council via EQuS [CE11001013]
- Perimeter Institute for Theoretical Physics
- Government of Canada through Innovation, Science and Economic Development Canada
- Province of Ontario through Ministry of Research, Innovation and Science
- Australian Research Council [FT130101744]
- National Science Foundation [116143]
- Australian Research Council [FT130101744] Funding Source: Australian Research Council
We give an overview of some remarkable connections between symmetric informationally complete measurements (SIC-POVMs, or SICs) and algebraic number theory, in particular, a connection with Hilbert's 12th problem. The paper is meant to be intelligible to a physicist who has no prior knowledge of either Galois theory or algebraic number theory.
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