06.50.+t Tomographic state reconstruction

Quantum State Tomography via Compressed Sensing


David Gross, Yi-Kai Liu, Steven T. Flammia, Stephen Becker, Jens Eisert


Phys. Rev. Lett. 105, 150401 (2010)

The authors establish methods for quantum state tomography based on compressed sensing. These methods are specialized for quantum states that are fairly pure, and they offer a significant performance improvement on large quantum systems: they require only simple Pauli measurements, use fast convex optimization, are stable against noise, and can be applied to states that are only approximately low rank.

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