Finite Precision Measurement Nullifies the Kochen-Specker Theorem
Abstract
Only finite precision measurements are experimentally reasonable, and they cannot distinguish a dense subset from its closure. We show that the rational vectors, which are dense in S2, can be colored so that the contradiction with hidden variable theories provided by Kochen-Specker constructions does not obtain. Thus, in contrast to violation of the Bell inequalities, no quantum-overclassical advantage for information processing can be derived from the Kochen-Specker theorem alone.
- Publication:
-
Physical Review Letters
- Pub Date:
- November 1999
- DOI:
- 10.1103/PhysRevLett.83.3751
- arXiv:
- arXiv:quant-ph/9905080
- Bibcode:
- 1999PhRvL..83.3751M
- Keywords:
-
- Quantum Physics;
- Mathematical Physics
- E-Print:
- 7 pages, plain TeX