Is Hilbert space discrete?
高能物理 - 理论
2009-11-11 v1 广义相对论与量子宇宙学
高能物理 - 唯象学
量子物理
摘要
We show that discretization of spacetime naturally suggests discretization of Hilbert space itself. Specifically, in a universe with a minimal length (for example, due to quantum gravity), no experiment can exclude the possibility that Hilbert space is discrete. We give some simple examples involving qubits and the Schrodinger wavefunction, and discuss implications for quantum information and quantum gravity.
引用
@article{arxiv.hep-th/0508039,
title = {Is Hilbert space discrete?},
author = {R. Buniy and S. Hsu and A. Zee},
journal= {arXiv preprint arXiv:hep-th/0508039},
year = {2009}
}
备注
4 pages, revtex, 1 figure