PIRSA:19070079

The Quantum Approximate Optimization Algorithm and spin chains

APA

Mbend, G. (2019). The Quantum Approximate Optimization Algorithm and spin chains. Perimeter Institute. https://pirsa.org/19070079

MLA

Mbend, Glen. The Quantum Approximate Optimization Algorithm and spin chains. Perimeter Institute, Jul. 09, 2019, https://pirsa.org/19070079

BibTex

          @misc{ pirsa_PIRSA:19070079,
            doi = {10.48660/19070079},
            url = {https://pirsa.org/19070079},
            author = {Mbend, Glen},
            keywords = {Condensed Matter},
            language = {en},
            title = {The Quantum Approximate Optimization Algorithm and spin chains},
            publisher = {Perimeter Institute},
            year = {2019},
            month = {jul},
            note = {PIRSA:19070079 see, \url{https://pirsa.org}}
          }
          

Glen Mbend SISSA International School for Advanced Studies

Abstract

Various optimization problems that arise naturally in science are frequently solved by heuristic algorithms. Recently, multiple quantum enhanced algorithms have been proposed to speed up the optimization process, however a quantum speed up on practical problems has yet to be observed. One of the most promising candidates is the Quantum Approximate Optimization Algorithm (QAOA), introduced by Farhi et al. I will then discuss numerical and exact results we have obtained for the quantum Ising chain problem and compare the performance of the QAOA and the Quantum Annealing algorithm. I will also briefly describe the landscape that emerges from the optimization problem and how techniques borrowed from machine learning can be used to improve the optimization process.