Cloning and Broadcasting in Generic Probabilistic Theories
| dc.creator | Barnum, Howard | |
| dc.creator | Barrett, Jonathan | |
| dc.creator | Leifer, Matthew | |
| dc.creator | Wilce, Alexander | |
| dc.date | 2006-11-30 | |
| dc.date.accessioned | 2026-07-07T07:34:17Z | |
| dc.date.available | 2026-07-07T07:34:17Z | |
| dc.description | We prove generic versions of the no-cloning and no-broadcasting theorems, applicable to essentially {\em any} non-classical finite-dimensional probabilistic model that satisfies a no-signaling criterion. This includes quantum theory as well as models supporting ``super-quantum'' correlations that violate the Bell inequalities to a larger extent than quantum theory. The proof of our no-broadcasting theorem is significantly more natural and more self-contained than others we have seen: we show that a set of states is broadcastable if, and only if, it is contained in a simplex whose vertices are cloneable, and therefore distinguishable by a single measurement. This necessary and sufficient condition generalizes the quantum requirement that a broadcastable set of states commute. | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0611295 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0611295 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/119759 | |
| dc.subject | Quantum Physics | |
| dc.title | Cloning and Broadcasting in Generic Probabilistic Theories | |
| dc.type | text |