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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Symmetric angular momentum coupling, the quantum volume operator and the 7-spin network: a computational perspective

arXiv
Authors: Dimitri Marinelli, Annalisa Marzuoli, Vincenzo Aquilanti, Roger W. Anderson, Ana Carla P. Bitencourt, Mirco Ragni

Year

2014

Paper ID

47152

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

Abstract

A unified vision of the symmetric coupling of angular momenta and of the quantum mechanical volume operator is illustrated. The focus is on the quantum mechanical angular momentum theory of Wigner's 6j symbols and on the volume operator of the symmetric coupling in spin network approaches: here, crucial to our presentation are an appreciation of the role of the Racah sum rule and the simplification arising from the use of Regge symmetry. The projective geometry approach permits the introduction of a symmetric representation of a network of seven spins or angular momenta. Results of extensive computational investigations are summarized, presented and briefly discussed.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • A unified vision of the symmetric coupling of angular momenta and of the quantum mechanical volume operator is illustrated.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1410.1073 [2] arXiv https://arxiv.org/abs/1410.1073 [3] Publisher https://arxiv.org/abs/1410.1073

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