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The statistical nature of measurements alone easily causes unphysical estimates in quantum state tomography.
H. Cramér, Scan. Actuar. J. 1
1928
Earlier work this paper cites.
T. W. Anderson, D. A. Darling, JASA 49
1954
Earlier work this paper cites.
E. Wigner, Ann. Math. 62
1958
Earlier work this paper cites.
J. G. Skellam, J. R. Stat. Soc. 109
1965
Earlier work this paper cites.
A. F. Mood, F. Graybill, D. Boes, Introduction to the theory of statistics
1974
Earlier work this paper cites.
A. A. Migdal, Phys. Rep. 102
1983
Earlier work this paper cites.
D. T. Smithey, M. Beck, M. G. Raymer, and A. Faridani, Phys. Rev. Lett. 70
1996
Earlier work this paper cites.
Z. Hradil, Phys. Rev. A 55
1997
Earlier work this paper cites.
Z. D. Bai, Statistica Sinica 9
1999
Earlier work this paper cites.
F. Hiai, D. Petz, The Semicircle Law, Free Random Variables and Entropy
2000
Cited alongside, same era.
D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, Phys. Rev. A 64
2001
Cited alongside, same era.
M. G. A. Paris and J. Řeháček, eds., Quantum state estimation
2004
Cited alongside, same era.
M. L. Mehta, Random Matrices (Academic, New York, 2004)
2004
Cited alongside, same era.
J. M. Renes, R. Blume-Kohout, A. J. Scott, and C. M. Caves, J. Math. Phys. 45
2004
Cited alongside, same era.
H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, Nature 438
2005
Cited alongside, same era.
For recent methods for an efficient tomography of large systems, see G. Tóth, W. Wieczorek, D. Gross, R. Krischek, C. Schwemmer, and H. Weinfurter, Phys. Rev. Lett. 105
2010
Later among the works it cites.
R. Blume-Kohout, New J. Phys. 12
2010
Later among the works it cites.
H. Zhu, B.-G. Englert, Phys. Rev. A. 84
2011
Later among the works it cites.
T. Sugiyama, P. S. Turner, and M. Murao, New J. Phys. 14
2012
Later among the works it cites.
C. Schwemmer, G. Tóth, A. Niggebaum, T. Moroder, D. Gross, O. Gühne, and H. Weinfurter, Phys. Rev. Lett. 113
2014
Later among the works it cites.
A. Miranowicz, K. Bartkiewicz, J. Peřina Jr., M. Koashi, N. Imoto, and F. Nori, Phys. Rev. A 90
2014
Later among the works it cites.
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M. Mariño, Rev. Mod. Phys. 77
2005
Cited alongside, same era.
N. Kiesel, Ph.D. thesis, Ludwig-Maximilians-Universität München (2007)
2007
Cited alongside, same era.
See Supplemental Material at [URL] for additional information on the limits of the approximations, derivations and proofs, and other tomography schemes, which includes Refs. [ 17 , 18 , 19 , 20 ]
Cited in the paper.
The approximation of the Wigner semicircle distribution is only valid if the estimated density matrix is still an adequate random matrix. | ψ ⟩ \ket{\psi} being one of the eigenstates of the measurement basis leads to perfect knowledge of many correlations value. Consequently, one cannot apply the Gaussian approximation of the matrix elements (see SM 1 [ 16 ] ), causing a distorted distribution. However, the support is approximately bounded by the calculations of the Wigner semicircle
Cited in the paper.
J. Peise, I. Kruse, K. Lange, B. Lücke, L. Pezzè, J. Arlt, W. Ertmer, K. Hammerer, L. Santos, A. Smerzi, and C. Klempt, Nat. Commun. 6
2015
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C. Schwemmer, L. Knips, D. Richart, H. Weinfurter, T. Moroder, M. Kleinmann, and O. Gühne, Phys. Rev. Lett. 114
2015
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