Non-abelian Weyl commutation relations and the series product of quantum stochastic evolutions.

Quantum error correcting codes and Weyl commutation relations

This is mainly an expository account of the general theory of quantum error correcting codes exploiting the commutation relations between the Weyl operators associated with a finite additive abelian group. There are some new elements of proofs and remarks, particularly, in the context of the Knill-Laflamme theorem [5].

A stochastic double product in non-Fock quantum stochastic calculus

Generalising the previous Fock case, we show that in an extremal universally invariant representation of the canonical commutation relations, a second quantised double product of infinitesimal rotations is a stochastic double product in the corresponding non-Fock quantum stochastic calculus. AMS Subject Classification 81S25.

ar X iv : h ep - t h / 99 05 03 5 v 1 5 M ay 1 99 9 Non - Equilibrium Quantum Field Theory and Entangled Commutation Relations ∗

Non-equilibrium quantum field theory studies time dependence of processes which are not available for the S-matrix description. One of the new methods of investigation in non-equilibrium quantum theory is the stochastic limit method. This method is an extension of the works by Bogoliubov, van Hove and Prigogine and it permits to study not only the system but also the reservoir degrees of freedo...

φ-factorable operators and Weyl-Heisenberg frames on LCA groups

Evolution of quasi-characteristic functions in quantum stochastic systems with Weyl quantization of energy operators

This paper considers open quantum systems whose dynamic variables satisfy canonical commutation relations and are governed by Markovian Hudson-Parthasarathy quantum stochastic differential equations driven by external bosonic fields. The dependence of the Hamiltonian and the system-field coupling operators on the system variables is represented using the Weyl functional calculus. This leads to ...