Incoherent control and entanglement for two-dimensional coupled systems

Details Incoherent control and entanglement for two-dimensional coupled systems Incoherent control and entanglement for two-dimensional coupled systems

2005-10-03

arxiv.org/abs/quant-ph/0510020v1

Phys. Rev. A 73, 022323 (2006)

Physics

Quantum Physics

Latex, 13 pages

Scientific paper

10.1117/12.664735

We investigate accessibility and controllability of a quantum system S coupled to a quantum probe P, both described by two-dimensional Hilbert spaces, under the hypothesis that the external control affects only P. In this context accessibility and controllability properties describe to what extent it is possible to drive the state of the system S by acting on P and using the interaction between the two systems. We give necessary and sufficient conditions for these properties and we discuss the relation with the entangling capability of the interaction between S and P. In particular, we show that controllability can be expressed in terms of the SWAP operator, acting on the composite system, and its square root.

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