Quantum measurements and finite geometry
| dc.creator | Wootters, William K. | |
| dc.date | 2004-06-04 | |
| dc.date | 2004-08-12 | |
| dc.date.accessioned | 2026-07-07T06:09:51Z | |
| dc.date.available | 2026-07-07T06:09:51Z | |
| dc.description | A complete set of mutually unbiased bases for a Hilbert space of dimension N is analogous in some respects to a certain finite geometric structure, namely, an affine plane. Another kind of quantum measurement, known as a symmetric informationally complete positive-operator-valued measure, is, remarkably, also analogous to an affine plane, but with the roles of points and lines interchanged. In this paper I present these analogies and ask whether they shed any light on the existence or non-existence of such symmetric quantum measurements for a general quantum system with a finite-dimensional state space. | |
| dc.description | 18 pages; for a festschrift honoring Asher Peres; minor corrections and added references in v2 and v3 | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0406032 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0406032 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/92103 | |
| dc.subject | Quantum Physics | |
| dc.title | Quantum measurements and finite geometry | |
| dc.type | text |