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We consider qubits in a linear arrangement coupled to a bosonic field whichacts as a quantum heat bath and causes decoherence. By taking the spatialseparation of the qubits explicitly into account, the reduced qubit dynamicsacquires an additional non-Markovian element. We investigate the time evolutionof an entangled many-qubit W state, which for vanishing qubit separationremains robust under pure dephasing. For finite separation, by contrast, thedynamics is no longer decoherence-free. On the other hand, spatial noisecorrelations may prevent a complete dephasing. While a standard Bloch-Redfieldmaster equation fails to describe this behavior even qualitatively, we proposeinstead a widely applicable causal master equation. Here we employ it toidentify and characterize decoherence-poor subspaces. Consequences for quantumerror correction are discussed.Comment: 14 pages, 6 figures, revised version, to appear in Phys. Rev.

physical review. b, condensed matter and materials physics

Incomplete pure dephasing of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi></mml:math>-qubit entangled W states

Incomplete pure dephasing ofN-qubit entangled W states