5 papers
Canonical quantization of neurons
Alexander He, Nana Liu, Mark M. Wilde
Canonical quantization provides a systematic procedure for constructing quantum models from classical Hamiltonians. Here, we apply this principle to a fundamental computational pri…
Fermi-Dirac machines as quantizations of neurons
Alexander He, Nana Liu, Mark M. Wilde
Fermi-Dirac machines were proposed recently as an approach to solving semidefinite optimization problems on quantum computers. Here, we reinterpret them as canonical quantizations…
A Practical Algorithm for Knot Factorisation
Alexander He, Eric Sedgwick, Jonathan Spreer
We present an algorithm for computing the prime factorisation of a knot, which is practical in the following sense: using Regina, we give an implementation that works well for inpu…
Crushing Surfaces of Positive Genus
Benjamin A. Burton, Thiago de Paiva, Alexander He +1
The operation of crushing a normal surface has proven to be a powerful tool in computational -manifold topology, with applications both to triangulation complexity and to algori…
An algorithm to construct one-vertex triangulations of Heegaard splittings
Alexander He, James Morgan, Em K. Thompson
Following work of Jaco and Rubinstein (2006), which (non-constructively) proved that any 3-manifold admits a one-vertex layered triangulation, we present an algorithm, with impleme…