Non-abelian Weyl commutation relations and the series product of quantum stochastic evolutions
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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|Source:||Philosophical Transactions of the Royal Society Series A|
|01_Evans_Non-abelian_Weyl_commutation_2012.pdf||172.22 kB||Adobe PDF||Request a copy|
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