An effect-theoretic reconstruction of quantum theory
@article{Wetering2019AnER, title={An effect-theoretic reconstruction of quantum theory}, author={J. V. D. Wetering}, journal={arXiv: Quantum Physics}, year={2019}, volume={1}, pages={1-27} }
An often used model for quantum theory is to associate to every physical system a C*-algebra. From a physical point of view it is unclear why operator algebras would form a good description of nature. In this paper, we find a set of physically meaningful assumptions such that any physical theory satisfying these assumptions must embed into the category of finite-dimensional C*-algebras. These assumptions were originally introduced in the setting of effectus theory, a categorical logical… CONTINUE READING
9 Citations
Local tomography and the role of the complex numbers in quantum mechanics
- Physics, Mathematics
- Proceedings of the Royal Society A
- 2020
- 1
- PDF
A simple and quantum-mechanically motivated characterization of the formally real Jordan algebras
- Physics, Mathematics
- Proceedings of the Royal Society A
- 2020
- 2
- PDF
References
SHOWING 1-10 OF 68 REFERENCES
A Categorical Reconstruction of Quantum Theory
- Mathematics, Computer Science
- Log. Methods Comput. Sci.
- 2020
- 13
- Highly Influential
- PDF
Reconstructing quantum theory from diagrammatic postulates
- Mathematics, Physics
- 2018
- 35
- Highly Influential
- PDF
Derivation of the Rules of Quantum Mechanics from Information-Theoretic Axioms
- Mathematics, Physics
- 2012
- 20
- PDF
Resource theory of quantum states out of thermal equilibrium.
- Physics, Medicine
- Physical review letters
- 2013
- 355
- PDF