… quantum algorithms using span programs. We show how any span program that decides a
… f, or more generally, approximate a quantity called the span program witness size, which is …

… We show that the approximate monotone span program size of f is a lower bound on the space
… We then give the first non-trivial lower bound on the approximate span program size of an …

… span programs derived from algorithms with a time-efficient implementation, we can preserve
the time efficiency when implementing the span program. … 〉∈V is an approximate negative …

… In this paper, we propose SPAN, a novel approximate and fast Newton method. SPAN computes
… Our experiments on multiple benchmark datasets demonstrate that SPAN outperforms …

… programs. We use the theory developed in the … approximate span programs, and we show
its optimality up to polylogarithmic factors. Finally, we show how approximate span programs …

… N but can be approximated by the all-zero sequence with linear span 0. In many practical …
in the linear span are achieved. In this context, the approximate realization problem becomes …

… introduce approximate span-lifting, a novel construction extending the approximate relational
… As an application, we develop a program logic based on approximate span-liftings capable …

… To test whether a simplex creates a cycle, we introduce a quantum span-program algorithm.
We show that the query complexity of our span program is parameterized by quantities …

… -105 for utilization of approximate response model for free span assessment. For L/… program
(SPAN-CALC) , the modal analysis program (MODECALC) and the fatigue analysis program …

… separation between monotone span programs over arbitrary fields and … span programs
computing directed st-connectivity over arbitrary fields, separating monotone span programs from …