We generalize the binary Deutsch-Jozsa algorithm to nvalued logic using the quantum Fourier transform. Our algorithm is not only able to distinguish between constant and balanced ...
Starting from an axiomatization of a generalization of Shannon entropy we introduce a set of axioms for a parametric family of distances over sets of partitions of finite sets. T...
Abstract. We generalize Sudan’s list decoding algorithm without multiplicity to evaluation codes coming from arbitrary order domains. The number of correctable errors by the prop...
Traditional adaptive filtering systems learn the user’s interests in a rather simple way – words from relevant documents are favored in the query model, while words from irre...
The Collatz problem, widely known as the 3x + 1 problem, asks whether or not a certain simple iterative process halts on all inputs. We build on earlier work by J. H. Conway, and ...