Rice quantum computing researchers have introduced a novel algorithm that earned the team a place in the global XPRIZE Quantum Applications competition.

As quantum computing advances, it brings both opportunities and challenges to the field of cryptography. Quantum computers have the potential to break current encryption methods, which is why the ...

When he isn’t teaching algebra at Columbia or abroad, Amadou Bah likes to soak up the cultural offerings on campus. Amadou Bah, a Ritt Assistant Professor of mathematics, was raised in Senegal and ...

An Algebraic Circuit for a multivariate polynomial P is a computational model for constructing the polynomial P using only additions and multiplications. It is a syntactic model of computation, as ...

Abstract: The extremal values of multivariate trigonometric polynomials are of interest in fields ranging from control theory to filter design, but finding the extremal values of such a polynomial is ...

A system comprising: a mobile computing device configured to: receive at least one of base map information, vehicle information, or driver information; receive sensor information from one or more ...

An attempt to formalise Shestakov-Umirbaev Theory in Lean 4 based on Chapter 1 of Polynomial Automorphisms and the Jacobian Conjecture (van den Essen et al, 2021).

Abstract: Multivariate multipoint evaluation is the problem of evaluating a multivariate polynomial, given as a coefficient vector, simultaneously at multiple evaluation points. In this work, we show ...

We implement in an IBM quantum computer a quantum algorithm for multivariate polynomial factoring and propose a noise-avoiding protocol to distill the experimental results in the presence of noise.