Estimation of the Repeatedly-Projected Reduced Density Matrix under Decoherence

Details Estimation of the Repeatedly-Projected Reduced Density Matrix under Decoherence Estimation of the Repeatedly-Projected Reduced Density Matrix under Decoherence

2007-11-17

arxiv.org/abs/0711.2751v2

Phys. Rev. A 77 (2008) 042114

Physics

Quantum Physics

14 pages

Scientific paper

10.1103/PhysRevA.77.042114

Decoherence is believed to deteriorate the ability of a purification scheme that is based on the idea of driving a system to a pure state by repeatedly measuring another system in interaction with the former and hinder for a pure state to be extracted asymptotically. Nevertheless, we find a way out of this difficulty by deriving an analytic expression of the reduced density matrix for a two-qubit system immersed in a bath. It is shown that we can still extract a pure state if the environment brings about only dephasing effects. In addition, for a dissipative environment, there is a possibility of obtaining a dominant pure state when we perform a finite number of measurements.

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