Quantum Tomography of Semi-Algebraic Sets with Constrained Measurements

@article{Kech2015QuantumTO,
  title={Quantum Tomography of Semi-Algebraic Sets with Constrained Measurements},
  author={Michael Kech and Michael M. Wolf},
  journal={CoRR},
  year={2015},
  volume={abs/1507.00903}
}
We analyse quantum state tomography in scenarios where measurements and states are both constrained. States are assumed to live in a semi-algebraic subset of state space and measurements are supposed to be rank-one POVMs, possibly with additional constraints. Specifically, we consider sets of von Neumann measurements and sets of local observables. We provide upper bounds on the minimal number of measurement settings or outcomes that are required for discriminating all states within the given… CONTINUE READING
Related Discussions
This paper has been referenced on Twitter 2 times. VIEW TWEETS

From This Paper

Figures, tables, and topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 23 references

The role of topology in quantum tomography

Michael Kech, Péter Vrana, Michael Wolf
Journal of Physics A: Mathematical and Theoretical, • 2015
View 6 Excerpts

Expanding the principle of local distinguishability

Claudio Carmeli, Teiko Heinosaari, Jussi Schultz, Alessandro Toigo
2014
View 1 Excerpt

Tasks and premises in quantum state determination

Claudio Carmeli, Teiko Heinosaari, Jussi Schultz, Alessandro Toigo
Journal of Physics A: Mathematical and Theoretical, • 2014
View 1 Excerpt

Determination of all pure quantum states from a minimal number of observables

Damien Mondragon, Vladislav Voroninski
arXiv preprint arXiv:1306.1214, • 2013
View 2 Excerpts

Quantum tomography under prior information

Luca Mazzarella Teiko Heinosaari, Michael M Wolf
Communications in Mathematical Physics • 2013

Probabilistic and statistical aspects of quantum theory, volume 1

Alexander S Holevo
2011
View 1 Excerpt

Similar Papers

Loading similar papers…