SU(2) and SU(1,1) group parametrizations via qubit induced correlated probabilities

DOI10.1088/1751-8121/ab4343OpenAlexW2972324474MaRDI QIDQ5872691

Vladimir I. Man'ko, Alexey A. Strakhov

Publication date: 4 January 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8121/ab4343

zbMATH Keywords

parametrizationLie groupstriangle geometryqubitprobability representation

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (2)

Observables, interference phenomenon and Born’s rule in the probability representation of quantum mechanics ⋮ Quantizer-dequantizer operators as a tool for formulating the quantization procedure

Cites Work

• Introduction to algebra. Transl. from the Russian by Neal Koblitz
• Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
• Statistical properties of qutrit in probability representation of quantum mechanics
• Irreducible unitary representations of the Lorentz group
• The Berry phase for spin in the Majorana representation
• Metric on the space of quantum states from relative entropy. Tomographic reconstruction
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