Permutationally invariant quantum tomography

C. Schmid, Ph.D. Thesis, Ludwig-Maximillian-Universität, Munich, Germany, 2008; D.F.V. James et. al, Phys. Rev. A 64

2001

Earlier work this paper cites.

O. Mandel et al. , Nature (London) 425

2003

Earlier work this paper cites.

G. M. D’Ariano et al. , J. Opt. B 5

2003

Earlier work this paper cites.

J.-W. Pan et al. , Nature (London) 403

2005

Earlier work this paper cites.

C. A. Sackett et al. , Nature (London) 404

2005

Earlier work this paper cites.

N. Kiesel et al. , Phys. Rev. Lett. 98

2007

Earlier work this paper cites.

R.B.A. Adamson et al. , Phys. Rev. Lett. 98

2007

Cited alongside, same era.

W. Wieczorek et al. , Phys. Rev. Lett. 101

2008

Cited alongside, same era.

R. Prevedel et al. , Phys. Rev. Lett. 103

2009

Cited alongside, same era.

L. K. Shalm et al. , Nature 457

2009

Cited alongside, same era.

O. Gühne and G. Tóth, Phys. Rep. 474

2009

Cited alongside, same era.

J.A. Miszczak et al. , J. Quant. Inf. Comp. 9

2009

Cited alongside, same era.

Otherwise more than 𝒟 N \mathcal{D}_{N} settings are necessary preprint

Cited in the paper.

This is connected to a general idea: It is expected that the determination of an operator within a subspace whose dimension depends polynomially on N N needs a number of settings increasing also polynomially with N . N

Cited in the paper.

See supplementary material at http://link.aps.org/ supplemental/10.1103/PhysRevLett.000.000000 for additional derivations and experimental results

Cited in the paper.

Expectation values are obtained directly from the measured data, rather than from ρ PI . \rho_{\rm PI}

Cited in the paper.

Values without error are deduced from fitted matrices obtained via maximum likelihood estimation S09

Original

Cited in the paper.

G. Tóth et al. , New J. Phys. 11

2009

Later among the works it cites.

W. Wieczorek et al. , Phys. Rev. Lett. 103

2010

Closest in time.

C. Cinelli et al. , Phys. Rev. Lett. 95

2010

Closest in time.

For other approaches see D. Gross et al. , Phys. Rev. Lett. 105

Original

2010

Closest in time.

B. Jungnitsch et. al , Phys. Rev. Lett. 104

2010

Closest in time.