- #36
skippy1729
R. Clifton, J. Bub and H. Halvorson did, in fact, reduce (finite dimensional) quantum mechanics into three statements:
1. No superluminal transfer of information.
2. No cloning. (actually they use no broadcasting of mixed systems)
3. No unconditionally secure bit commitment.
Infinite dimensional representations (if they really exist) can be approximated by large finite dimensional systems. The equivalence is proved in the domain of physical systems which can be represented by C* algebras (which includes, among other things, classical mechanics).
Although simple statements, I don't see them giving much immediate clarity to things like the two-slit experiment. Although the statements are non-mathematical, the proof of the theorem is not.
reference: Foundations of Physics 33, 1561-1591 (2003)
http://arxiv.org/abs/quant-ph/0211089
1. No superluminal transfer of information.
2. No cloning. (actually they use no broadcasting of mixed systems)
3. No unconditionally secure bit commitment.
Infinite dimensional representations (if they really exist) can be approximated by large finite dimensional systems. The equivalence is proved in the domain of physical systems which can be represented by C* algebras (which includes, among other things, classical mechanics).
Although simple statements, I don't see them giving much immediate clarity to things like the two-slit experiment. Although the statements are non-mathematical, the proof of the theorem is not.
reference: Foundations of Physics 33, 1561-1591 (2003)
http://arxiv.org/abs/quant-ph/0211089