Maximum stabilizer dimension for nonproduct states
| dc.creator | Walck, Scott N. | |
| dc.creator | Lyons, David W. | |
| dc.date | 2007-06-12 | |
| dc.date | 2007-08-03 | |
| dc.date.accessioned | 2026-07-07T10:08:53Z | |
| dc.date.available | 2026-07-07T10:08:53Z | |
| dc.description | Composite quantum states can be classified by how they behave under local unitary transformations. Each quantum state has a stabilizer subgroup and a corresponding Lie algebra, the structure of which is a local unitary invariant. In this paper, we study the structure of the stabilizer subalgebra for n-qubit pure states, and find its maximum dimension to be n-1 for nonproduct states of three qubits and higher. The n-qubit Greenberger-Horne-Zeilinger state has a stabilizer subalgebra that achieves the maximum possible dimension for pure nonproduct states. The converse, however, is not true: we show examples of pure 4-qubit states that achieve the maximum nonproduct stabilizer dimension, but have stabilizer subalgebra structures different from that of the n-qubit GHZ state. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/0706.1785 | |
| dc.identifier | http://arxiv.org/abs/0706.1785 | |
| dc.identifier | Phys. Rev. A 76, 022303 (2007) | |
| dc.identifier | doi:10.1103/PhysRevA.76.022303 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171152 | |
| dc.subject | Quantum Physics | |
| dc.title | Maximum stabilizer dimension for nonproduct states | |
| dc.type | text |