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Cloning and Broadcasting in Generic Probabilistic Theories | | Howard Barnum
; Jonathan Barrett
; Matthew Leifer
; Alexander Wilce
; PostScript
; PDF
; Other formats
; | | Date: |
30 Nov 2006 | | Abstract: | 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. | | Source: | arXiv, quant-ph/0611295 | | Services: | Forum | Review | PDF | Favorites | |
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