# Gleason-Type Derivations of the Quantum Probability Rule for Generalized Measurements

@article{Caves2004GleasonTypeDO, title={Gleason-Type Derivations of the Quantum Probability Rule for Generalized Measurements}, author={C. Caves and C. Fuchs and Kiran K. Manne and J. M. Renes}, journal={Foundations of Physics}, year={2004}, volume={34}, pages={193-209} }

We prove a Gleason-type theorem for the quantum probability rule using frame functions defined on positive-operator-valued measures (POVMs), as opposed to the restricted class of orthogonal projection-valued measures used in the original theorem. The advantage of this method is that it works for two-dimensional quantum systems (qubits) and even for vector spaces over rational fields—settings where the standard theorem fails. Furthermore, unlike the method necessary for proving the original… CONTINUE READING

#### Paper Mentions

79 Citations

No-Go Theorem for the Characterization of Work Fluctuations in Coherent Quantum Systems.

- Physics, Medicine
- 2017

- 71
- PDF

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 26 REFERENCES