Dissipation-induced pure Gaussian state

Details Dissipation-induced pure Gaussian state Dissipation-induced pure Gaussian state

2011-03-28

arxiv.org/abs/1103.5449v4

Physical Review A 85, 022103 (2012)

Physics

Quantum Physics

8 pages

Scientific paper

10.1103/PhysRevA.85.022103

This paper provides some necessary and sufficient conditions for a generalMarkovian Gaussian master equation to have a unique pure steady state. The conditions are described by simple matrix equations; thus the so-called environment engineering problem for pure-Gaussian-state preparation can be straightforwardly dealt with in the linear algebraic framework. In fact, based on one of those conditions, for an arbitrary given pure Gaussian state,we obtain a complete parametrization of the Gaussian master equation having that state as a unique steady state; this leads to a systematic procedure for engineering a desired dissipative system.We demonstrate some examples including Gaussian cluster states.

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