Tight informationally complete quantum measurements
| dc.creator | Scott, A. J. | |
| dc.date | 2006-04-07 | |
| dc.date | 2006-10-11 | |
| dc.date.accessioned | 2026-07-07T07:11:49Z | |
| dc.date.available | 2026-07-07T07:11:49Z | |
| dc.description | We introduce a class of informationally complete positive-operator-valued measures which are, in analogy with a tight frame, "as close as possible" to orthonormal bases for the space of quantum states. These measures are distinguished by an exceptionally simple state-reconstruction formula which allows "painless" quantum state tomography. Complete sets of mutually unbiased bases and symmetric informationally complete positive-operator-valued measures are both members of this class, the latter being the unique minimal rank-one members. Recast as ensembles of pure quantum states, the rank-one members are in fact equivalent to weighted 2-designs in complex projective space. These measures are shown to be optimal for quantum cloning and linear quantum state tomography. | |
| dc.description | 20 pages. Final version | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0604049 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0604049 | |
| dc.identifier | J. Phys. A 39, 13507 (2006) | |
| dc.identifier | doi:10.1088/0305-4470/39/43/009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/111903 | |
| dc.subject | Quantum Physics | |
| dc.title | Tight informationally complete quantum measurements | |
| dc.type | text |