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Open Quantum Systems Decoherence
Quantum Simulation
Algorithms for SU(n) boson realizations and D-functions
arXiv
Authors: Ish Dhand, Barry C. Sanders, Hubert de Guise
Year
2015
Paper ID
27988
Status
Preprint
Abstract Read
~2 min
Abstract Words
87
Citations
N/A
Abstract
Boson realizations map operators and states of groups to transformations and states of bosonic systems. We devise a graph-theoretic algorithm to construct the boson realizations of the canonical SU(n) basis states, which reduce the canonical subgroup chain, for arbitrary n. The boson realizations are employed to construct mathcal{D}-functions, which are the matrix elements of arbitrary irreducible representations, of SU(n) in the canonical basis. We demonstrate that our mathcal{D}-function algorithm offers significant advantage over the two competing procedures, namely factorization and exponentiation.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2015 reference point for readers tracking recent quantum research.
- Boson realizations map operators and states of groups to transformations and states of bosonic systems.
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