Exponential complexity and ontological theories of quantum mechanics
| dc.creator | Montina, Alberto | |
| dc.date | 2007-11-29 | |
| dc.date | 2008-01-25 | |
| dc.date.accessioned | 2026-07-07T09:20:41Z | |
| dc.date.available | 2026-07-07T09:20:41Z | |
| dc.description | Ontological theories of quantum mechanics describe a single system by means of well-defined classical variables and attribute the quantum uncertainties to our ignorance about the underlying reality represented by these variables. We consider the general class of ontological theories describing a quantum system by a set of variables with Markovian (either deterministic or stochastic) evolution. We provide the first proof that the number of continuous variables can not be smaller than 2N-2, N being the Hilbert space dimension. Thus, any ontological Markovian theory of quantum mechanics requires a number of variables which grows exponentially with the physical size. This result is relevant also in the framework of quantum Monte Carlo methods. | |
| dc.identifier | https://arxiv.org/abs/0711.4770 | |
| dc.identifier | http://arxiv.org/abs/0711.4770 | |
| dc.identifier | Phys. Rev. A 77, 022104 (2008) | |
| dc.identifier | doi:10.1103/PhysRevA.77.022104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154798 | |
| dc.subject | Quantum Physics | |
| dc.title | Exponential complexity and ontological theories of quantum mechanics | |
| dc.type | text |