Non-abelian Weyl commutation relations and the series product of quantum stochastic evolutions
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Evans, D. Gwion; Gough, J.E.; James, Matthew
Description
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.
Collections | ANU Research Publications |
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Date published: | 2012 |
Type: | Journal article |
URI: | http://hdl.handle.net/1885/71260 |
Source: | Philosophical Transactions of the Royal Society Series A |
DOI: | 10.1098/rsta.2011.0525 |
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01_Evans_Non-abelian_Weyl_commutation_2012.pdf | 172.22 kB | Adobe PDF | Request a copy |
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