Tillmann Baumgratz, David Gross, Marcus Cramer, Martin B. Plenio
Recent contributions in the field of quantum state tomography have shown that, despite the exponential growth of Hilbert space with the number of subsystems, tomography may still be performed efficiently by tailored reconstruction schemes. Here, we discuss a scalable method to reconstruct mixed states that are well approximated by matrix product operators. The reconstruction scheme only requires local information about the state, giving rise to a reconstruction technique that is scalable in the system size. It is based on a constructive proof that generic matrix operators are fully determined by their local reductions.
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http://arxiv.org/abs/1207.0358
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