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Open Quantum Systems Decoherence
Non-abelian Weyl Commutation Relations and the Series Product of Quantum Stochastic Evolutions
arXiv
Authors: D. Gwion Evans, J. E. Gough, M. R. James
Year
2013
Paper ID
32935
Status
Preprint
Abstract Read
~2 min
Abstract Words
71
Citations
N/A
Abstract
We show that the series product, which serves as an algebraic rule for connecting state-based input/output systems, is intimately related to the Heisenberg group and the canonical commutation relations. The series product for quantum stochastic models then corresponds to a non-abelian generalization of the Weyl commutation relation. We show that the series product gives the general rule for combining the generators of quantum stochastic evolutions using a Lie-Trotter product formula.
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- We show that the series product, which serves as an algebraic rule for connecting state-based input/output systems, is intimately related to the Heisenberg group and the...
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