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Unavoidable decoherence in the quantum control of an unknown state

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Kielpinski D., Briggs R. A., Wiseman H. M.
Quantum Measurements and Quantum Metrology
|
2013
|
vol. 1
1-4
EN
A common objective for quantum control is to force a quantum system, initially in an unknown state, into a particular target subspace. We show that if the subspace is required to be a decoherence-free subspace of dimension greater than 1, then such control must be decoherent. That is, it will take almost any pure state to a mixed state. We make no assumptions about the control mechanism, but our result implies that for this purpose coherent control offers no advantage, in principle, over the obvious measurement-based feedback protocol.
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