0 Ju l 2 00 3 On the existence of physical transformations between sets of quantum states

@inproceedings{Chefles20040JL,
  title={0 Ju l 2 00 3 On the existence of physical transformations between sets of quantum states},
  author={Anthony Chefles and Richard Jozsa and Andreas Winter},
  year={2004}
}
Let A = {ρ1, . . . , ρn} be a given set of quantum states. We consider the problem of finding necessary and sufficient conditions on another set B = {σ1, . . . , σn} that guarantee the existence of a physical transformation taking ρi to σi for all i. Uhlmann has given an elegant such condition when both sets comprise pure states. We give a simple proof of this condition and develop some consequences. Then we consider multi-probabilistic transformations between sets of pure states which leads to… CONTINUE READING

From This Paper

Figures, tables, results, connections, and topics extracted from this paper.
7 Extracted Citations
16 Extracted References
Similar Papers

Referenced Papers

Publications referenced by this paper.
Showing 1-10 of 16 references

Deterministic quantum state transformations

  • A. Chefles
  • Phys. Lett A 270,
  • 2000
Highly Influential
4 Excerpts

Existence and Density Theorems for Stochastic Maps on Commutative C-Algebras, Math. Nachr

  • P. Alberti, A. Uhlmann
  • 1980
Highly Influential
4 Excerpts

Geometrical conditions for CPTP maps and their application to a quantum repeater and a state - dependent quantum cloning machine

  • A. Carlini, M. Sasaki
  • 2003

Geometrical conditions for CPTP maps and their application to a quantum repeater and a state-dependent quantum cloning

  • A. Carlini, M. Sasaki
  • 2003
1 Excerpt

Playing with fidelities

  • P. Alberti
  • Rep. Math. Phys
  • 2003
1 Excerpt

Transforming vector states: a toolkit, unpublished manuscript, 23pp

  • P. Alberti
  • 2003
1 Excerpt

Quantum operations, state transformations and probabilities

  • A. Chefles
  • Phys. Rev. A
  • 2002
2 Excerpts

Fidelity for mixed quantum states

  • R. Jozsa
  • J. Mod. Opt
  • 1994
1 Excerpt

Similar Papers

Loading similar papers…