On storage of topological information

Topological forms of information

We propose that entropy is a universal co-homological class in a theory associated to a family of observable quantities and a family of probability distributions. Three cases are presented: 1) classical probabilities and random variables; 2) quantum probabilities and observable operators; 3) dynamic probabilities and observation trees. This gives rise to a new kind of topology for information p...

Efficient Topological OLAP on Information Networks

We propose a framework for efficient OLAP on information networks with a focus on the most interesting kind, the topological OLAP (called “TOLAP”), which incurs topological changes in the underlying networks. T-OLAP operations generate new networks from the original ones by rolling up a subset of nodes chosen by certain constraint criteria. The key challenge is to efficiently compute measures f...

Long-range entanglement is necessary for a topological storage of quantum information.

A general inequality between entanglement entropy and a number of topologically ordered states is derived, even without using the properties of the parent Hamiltonian or the formalism of topological quantum field theory. Given a quantum state |ψ], we obtain an upper bound on the number of distinct states that are locally indistinguishable from |ψ]. The upper bound is determined only by the enta...

on the relationship between different discourse markers and information-gap and reasoning-gap tasks, and the effectiveness of input enhancement type of instruction on students acquisition of discourse markers.

abstract tasks nowadays are at the center of attention in sla research. task types is one of the critical issues in this regard, their effectiveness and suitability to any particular context, their characteristics and the result they yield are among some of these issues. on the other hand, discourse markers (dms) have been very much investigated and their effectiveness in conveying the meaning...

Fundamental Physical Limits on Information Storage