A Meaner King uses Biased Bases
| dc.creator | Reimpell, M. | |
| dc.creator | Werner, R. F. | |
| dc.date | 2006-12-05 | |
| dc.date.accessioned | 2026-07-07T08:20:21Z | |
| dc.date.available | 2026-07-07T08:20:21Z | |
| dc.description | The mean king problem is a quantum mechanical retrodiction problem, in which Alice has to name the outcome of an ideal measurement on a d-dimensional quantum system, made in one of (d+1) orthonormal bases, unknown to Alice at the time of the measurement. Alice has to make this retrodiction on the basis of the classical outcomes of a suitable control measurement including an entangled copy. We show that the existence of a strategy for Alice is equivalent to the existence of an overall joint probability distribution for (d+1) random variables, whose marginal pair distributions are fixed as the transition probability matrices of the given bases. In particular, for d=2 the problem is decided by John Bell's classic inequality for three dichotomic variables. For mutually unbiased bases in any dimension Alice has a strategy, but for randomly chosen bases the probability for that goes rapidly to zero with increasing d. | |
| dc.description | 5 pages, 1 figure | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0612035 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0612035 | |
| dc.identifier | Phys. Rev. A 75, 062334 (2007) | |
| dc.identifier | doi:10.1103/PhysRevA.75.062334 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135050 | |
| dc.subject | Quantum Physics | |
| dc.title | A Meaner King uses Biased Bases | |
| dc.type | text |