All Moments of the Uniform Ensemble of Quantum Density Matrices
| dc.creator | Tucci, Robert R. | |
| dc.date | 2002-06-28 | |
| dc.date.accessioned | 2026-07-07T06:04:30Z | |
| dc.date.available | 2026-07-07T06:04:30Z | |
| dc.description | Given a uniform ensemble of quantum density matrices $ρ$, it is useful to calculate the mean value over this ensemble of a product of entries of $ρ$. We show how to calculate such moments in this paper. The answer involves well known results from Group Representation Theory and Random Matrix Theory. This quantum problem has a well known classical counterpart: given a uniform ensemble of probability distributions $P=(P_1, P_2, ..., P_N)$ where the $P_j$ are non-negative reals that sum to one, calculate the mean value over this probability simplex of products of $P$ components. The answer to the classical problem follows from an integral formula due to Dirichlet. | |
| dc.description | 17 pages (files: 1 .tex, 3 .sty) | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0206193 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0206193 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/90318 | |
| dc.subject | Quantum Physics | |
| dc.title | All Moments of the Uniform Ensemble of Quantum Density Matrices | |
| dc.type | text |