Geometrical view of quantum entanglement
Faculty of Mathematics and Physics, University of Ljubljana - Ljubljana, Slovenia, EU
2 Jožef Stefan Institute - Ljubljana, Slovenia, EU
Accepted: 23 September 2011
Although a precise description of microscopic physical problems requires a full quantum-mechanical treatment, physical quantities are generally discussed in terms of classical variables. One exception is quantum entanglement which apparently has no classical counterpart. We demonstrate here how quantum entanglement may be within the de Broglie-Bohm interpretation of quantum mechanics visualized in geometrical terms, giving new insight into this mysterious phenomenon and a language to describe it. On the basis of our analysis of the dynamics of a pair of qubits, quantum entanglement is linked to concurrent motion of angular momenta in the Bohmian space of hidden variables and to the average angle between these momenta.
PACS: 03.65.Ca – Formalism / 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) / 03.67.Mn – Entanglement measures, witnesses, and other characterizations
© EPLA, 2011