Non-local properties of multi-particle density matrices
| dc.creator | Linden, N. | |
| dc.creator | Popescu, S. | |
| dc.creator | Sudbery, A. | |
| dc.date | 1998-01-30 | |
| dc.date.accessioned | 2026-07-07T11:48:32Z | |
| dc.date.available | 2026-07-07T11:48:32Z | |
| dc.description | As far as entanglement is concerned, two density matrices of $n$ particles are equivalent if they are on the same orbit of the group of local unitary transformations, $U(d_1)\times...\times U(d_n)$ (where the Hilbert space of particle $r$ has dimension $d_r$). We show that for $n$ greater than or equal to two, the number of independent parameters needed to specify an $n$-particle density matrix up to equivalence is $Π_r d_r^2 - \sum_r d_r^2 + n - 1$. For $n$ spin-${1\over 2}$ particles we also show how to characterise generic orbits, both by giving an explicit parametrisation of the orbits and by finding a finite set of polynomial invariants which separate the orbits. | |
| dc.description | 13 pages RevTeX | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9801076 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9801076 | |
| dc.identifier | Phys.Rev.Lett.83:243-247,1999 | |
| dc.identifier | doi:10.1103/PhysRevLett.83.243 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/202955 | |
| dc.subject | Quantum Physics | |
| dc.title | Non-local properties of multi-particle density matrices | |
| dc.type | text |