On the factorization criterion for quantum statistics

Ewa Czkwianianc

Mathematica Slovaca (2005)

  • Volume: 55, Issue: 3, page 373-380
  • ISSN: 0232-0525

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Czkwianianc, Ewa. "On the factorization criterion for quantum statistics." Mathematica Slovaca 55.3 (2005): 373-380. <http://eudml.org/doc/34611>.

@article{Czkwianianc2005,
author = {Czkwianianc, Ewa},
journal = {Mathematica Slovaca},
keywords = {quantum measurement; pure states; non biased estimator; sufficient statistic; state estimation},
language = {eng},
number = {3},
pages = {373-380},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the factorization criterion for quantum statistics},
url = {http://eudml.org/doc/34611},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Czkwianianc, Ewa
TI - On the factorization criterion for quantum statistics
JO - Mathematica Slovaca
PY - 2005
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 55
IS - 3
SP - 373
EP - 380
LA - eng
KW - quantum measurement; pure states; non biased estimator; sufficient statistic; state estimation
UR - http://eudml.org/doc/34611
ER -

References

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  1. DVUREČENSKIJ A., Gleason's Theorem and its Applications, Kluwer Academic Publisher, Dordrecht, 1993. (1993) Zbl0795.46045MR1256736
  2. HELSTROM C. W., Quantum Detection and Estimation Theory, Academic, New York, 1976. (1976) 
  3. HIAI F.-OHYA M.-TSUKADA M., Sufficiency, KMS condition and relative entropy in von Neumann algebras, Pacific J. Math. 96 (1981), 99-109. (1981) Zbl0473.46044MR0634765
  4. HOLEVO A. S., Probabilistic and Statistical Aspects of Quantum Theory, North-Holland Series in Statistics and Probability, Vol. 1, North-Holland Publ. Comp., Amsterdam-New York-Oxford, 1982. (1982) Zbl0497.46053MR0681693
  5. LUDWIG G., An Axiomatic Basis for Quantum Mechanics, Vol. 1. Derivation of Hilbert space structure, Springer-Verlag, Berlin, 1985. (1985) Zbl0582.46065MR0796133
  6. von NEUMANN J., Mathematical Foundations of Quantum Mechanics, Princeton Univ. Press, Princeton, NJ, 1955. (1955) Zbl0064.21503MR0066944
  7. SCHERVISH M. J., Theory of Statistics, Springer-Verlag, New York, 1995. (1995) Zbl0834.62002MR1354146
  8. STRATILA S., Modular Theory in Operator Algebras, Editura Academiei/Abacus Press, Bucuresti/Turnbridge Wells, Kent, 1981. (1981) Zbl0504.46043MR0696172

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