From Reader to Mediated Witness

The Reader-to-Leader Framework: Motivating Technology-Mediated Social Participation

Billions of people participate in online social activities. Most users participate as readers of discussion boards, searchers of blog posts, or viewers of photos. A fraction of users become contributors of user-generated content by writing consumer product reviews, uploading travel photos, or expressing political opinions. Some users move beyond such individual efforts to become collaborators, ...

From entanglement witness to generalized Catalan numbers

Being extremely important resources in quantum information and computation, it is vital to efficiently detect and properly characterize entangled states. We analyze in this work the problem of entanglement detection for arbitrary spin systems. It is demonstrated how a single measurement of the squared total spin can probabilistically discern separable from entangled many-particle states. For ac...

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Counterexamples to witness conjectures

Consider the class of exp-log constants, which is constructed from the integers using the field operations, exponentiation and logarithm. Let z be such an exp-log constant and let n be its size as an expression. Witness conjectures attempt to give bounds $(n) for the number of decimal digits which need to be evaluated in order to test whether z equals zero. For this purpose, it is convenient to...

Guidance to the Reader