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Quantum State Tomography via Compressed Sensing

Mon, 2010-10-04 12:25 - Lukas Theussl
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Date: 
2010-10-04
Author(s): 

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

Reference: 

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

URL: 

http://prl.aps.org/abstract/PRL/v105/i15/e150401

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.