Solomon, Allan I. and Schirmer, Sonia G.
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|DOI (Digital Object Identifier) Link:||http://dx.doi.org/10.1088/1742-6596/87/1/012015|
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Dissipation is sometimes regarded as an inevitable and regrettable presence in the real evolution of a quantum system. However, the effects may not always be malign, although often non-intuitive and may even be beneficial. In this note we we display some of these effects for N-level systems, where N = 2,3,4.
We start with an elementary introduction to dissipative effects on the Bloch Sphere, and its interior, the Bloch Ball, for a two-level system. We describe explicitly the hamiltonian evolution as well as the purely dissipative dynamics, in the latter case giving the t-> infinity limits of the motion. This discussion enables us to provide an intuitive feeling for the measures of control-reachable states. For the three-level case we discuss the impossibility of isolating a two-level (qubit) subsystem; this is a Bohm-Aharonov type consequence of dissipation.
We finally exemplify the four-level case by giving constraints on the decay of two-qubit entanglement.
|Item Type:||Journal Article|
|Academic Unit/Department:||Science > Physical Sciences
|Depositing User:||Allan Solomon|
|Date Deposited:||23 Jan 2008|
|Last Modified:||15 Jan 2016 22:59|
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