Building a quantum computer from living parts (FMO proteins)

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PavonisStar
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The most serious challenge to engineering a quantum computer is protecting it from decoherence. But FMO proteins in photosynthetic complexes can exhibit entanglement for a few picoseconds as reported here and here, among other places. So would it be possible to build a working, useful quantum computer using these proteins? Could this help fix decoherence issues? I don't have a good feeling for how practical this would be.
 
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Picoseconds are long for organic molecules, but short for computations - individual ions in traps or similar quantum objects should be better.