Kochen-Specker theorem for von Neumann algebras

Details Kochen-Specker theorem for von Neumann algebras Kochen-Specker theorem for von Neumann algebras

2004-08-16

arxiv.org/abs/quant-ph/0408106v1

Int. J. Theor. Phys. 44, 139-160 (2005)

Physics

Quantum Physics

22 pages, no figures

Scientific paper

10.1007/s10773-005-1490-6

The Kochen-Specker theorem has been discussed intensely ever since its original proof in 1967. It is one of the central no-go theorems of quantum theory, showing the non-existence of a certain kind of hidden states models. In this paper, we first offer a new, non-combinatorial proof for quantum systems with a type $I_{n}$ factor as algebra of observables, including $I_{\infty}$. Afterwards, we give a proof of the Kochen-Specker theorem for an arbitrary von Neumann algebra $\mathcal{R}$ without summands of types $I_{1}$ and $I_{2}$, using a known result on two-valued measures on the projection lattice $\mathcal{P(R)}$. Some connections with presheaf formulations as proposed by Isham and Butterfield are made.

Affiliated with

Also associated with

No associations

Rating

Kochen-Specker theorem for von Neumann algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Kochen-Specker theorem for von Neumann algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kochen-Specker theorem for von Neumann algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-647188