Minimum orbit dimension for local unitary action on n-qubit pure states
| dc.creator | Lyons, David W. | |
| dc.creator | Walck, Scott N. | |
| dc.date | 2005-03-04 | |
| dc.date | 2005-10-18 | |
| dc.date.accessioned | 2026-07-07T06:40:52Z | |
| dc.date.available | 2026-07-07T06:40:52Z | |
| dc.description | The group of local unitary transformations partitions the space of n-qubit quantum states into orbits, each of which is a differentiable manifold of some dimension. We prove that all orbits of the n-qubit quantum state space have dimension greater than or equal to 3n/2 for n even and greater than or equal to (3n + 1)/2 for n odd. This lower bound on orbit dimension is sharp, since n-qubit states composed of products of singlets achieve these lowest orbit dimensions. | |
| dc.description | 19 pages | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0503052 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0503052 | |
| dc.identifier | J. Math. Phys. 46(10):102106, 2005 | |
| dc.identifier | doi:10.1063/1.2048327 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101513 | |
| dc.subject | Quantum Physics | |
| dc.subject | Mathematical Physics | |
| dc.title | Minimum orbit dimension for local unitary action on n-qubit pure states | |
| dc.type | text |