A Mechanistic macroscopic physical entity with a three dimensional Hilbert space description Export

@misc{citeulike:1263261, abstract = {It is sometimes stated that Gleason's theorem prevents the construction of hidden-variable models for quantum entities described in a more than twodimensional Hilbert space. In this paper however we explicitly construct a classical (macroscopical) system that can be represented in a threedimensional real Hilbert space, the probability structure appearing as the result of a lack of knowledge about the measurement context. We briefly discuss Gleason's theorem from this point of view.}, author = {Aerts, D. and Coecke, B. and D'Hooghe, B. and Valckenborgh, F.}, citeulike-article-id = {1263261}, citeulike-linkout-0 = {http://citeseer.ist.psu.edu/aerts97mechanistic.html}, citeulike-linkout-1 = {http://citeseer.lcs.mit.edu/aerts97mechanistic.html}, citeulike-linkout-2 = {http://citeseer.ifi.unizh.ch/aerts97mechanistic.html}, citeulike-linkout-3 = {http://citeseer.comp.nus.edu.sg/aerts97mechanistic.html}, keywords = {3d, hilbert-space}, posted-at = {2007-04-28 13:39:30}, priority = {2}, title = {A Mechanistic macroscopic physical entity with a three dimensional Hilbert space description}, url = {http://citeseer.ist.psu.edu/aerts97mechanistic.html}, year = {1997} }

TY - GEN ID - citeulike:1263261 L3 - citeulike-article-id:1263261 N2 - It is sometimes stated that Gleason's theorem prevents the construction of hidden-variable models for quantum entities described in a more than twodimensional Hilbert space. In this paper however we explicitly construct a classical (macroscopical) system that can be represented in a threedimensional real Hilbert space, the probability structure appearing as the result of a lack of knowledge about the measurement context. We briefly discuss Gleason's theorem from this point of view. TI - A Mechanistic macroscopic physical entity with a three dimensional Hilbert space description KW - 3d KW - hilbert-space AU - Aerts, D AU - Coecke, B AU - D'Hooghe, B AU - Valckenborgh, F PY - 1997/// UR - http://citeseer.ist.psu.edu/aerts97mechanistic.html ER -