Quantum entanglement in states generated by bilocal group algebras
| dc.creator | Hamma, Alioscia | |
| dc.creator | Ionicioiu, Radu | |
| dc.creator | Zanardi, Paolo | |
| dc.date | 2005-04-07 | |
| dc.date | 2005-07-26 | |
| dc.date.accessioned | 2026-07-07T06:12:32Z | |
| dc.date.available | 2026-07-07T06:12:32Z | |
| dc.description | Given a finite group G with a bilocal representation, we investigate the bipartite entanglement in the state constructed from the group algebra of G acting on a separable reference state. We find an upper bound for the von Neumann entropy for a bipartition (A,B) of a quantum system and conditions to saturate it. We show that these states can be interpreted as ground states of generic Hamiltonians or as the physical states in a quantum gauge theory and that under specific conditions their geometric entropy satisfies the entropic area law. If G is a group of spin flips acting on a set of qubits, these states are locally equivalent to 2-colorable (i.e., bipartite) graph states and they include GHZ, cluster states etc. Examples include an application to qudits and a calculation of the n-tangle for 2-colorable graph states. | |
| dc.description | 9 pages, no figs; updated to the published version | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0504049 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0504049 | |
| dc.identifier | Phys.Rev. A 72, 012324 (2005) | |
| dc.identifier | doi:10.1103/PhysRevA.72.012324 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/92811 | |
| dc.subject | Quantum Physics | |
| dc.title | Quantum entanglement in states generated by bilocal group algebras | |
| dc.type | text |