Quantum algorithms for Second-Order Cone Programming and Support Vector Machines

We present a quantum interior-point method (IPM) for second-order cone programming (SOCP) that runs in time $\widetilde{O} \left( n\sqrt{r} \frac{\zeta \kappa}{\delta^2} \log \left(1/\epsilon\right) \right)$ where $r$ is the rank and $n$ the dimension of the SOCP, $\delta$ bounds the distance of int...

Full description

Bibliographic Details
Main Authors: Iordanis Kerenidis, Anupam Prakash, Dániel Szilágyi
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2021-04-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2021-04-08-427/pdf/