



@article {1432,
	title = {Quantum state tomography via compressed sensing},
	journal = {Physical Review Letters},
	volume = {105},
	year = {2010},
	month = {2010/10/4},
	abstract = {  We 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.
In particular, they are able to reconstruct an unknown density matrix of
dimension d and rank r using O(rd log^2 d) measurement settings, compared to
standard methods that require d^2 settings. Our methods have several features
that make them amenable to experimental implementation: 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. The
acquired data can be used to certify that the state is indeed close to pure, so
no a priori assumptions are needed. We present both theoretical bounds and
numerical simulations.
},
	doi = {10.1103/PhysRevLett.105.150401},
	url = {http://arxiv.org/abs/0909.3304v4},
	author = {David Gross and Yi-Kai Liu and Steven T. Flammia and Stephen Becker and Jens Eisert}
}
