233 citations · 872 across the 23 of their papers we have counts for
24 papers
Quantum Optimization Benchmarking Library - The Intractable Decathlon
Thorsten Koch, David E. Bernal Neira, Ying Chen +24
Through recent progress in hardware development, quantum computers have advanced to the point where benchmarking of (heuristic) quantum algorithms at scale is within reach. Particu…
Challenges and Opportunities in Quantum Optimization
Amira Abbas, Andris Ambainis, Brandon Augustino +43
Recent advances in quantum computers are demonstrating the ability to solve problems at a scale beyond brute force classical simulation. As such, a widespread interest in quantum a…
A quantum central path algorithm for linear optimization
Brandon Augustino, Jiaqi Leng, Giacomo Nannicini +2
We propose a novel quantum algorithm for solving linear optimization problems by quantum-mechanical simulation of the central path. While interior point methods follow the central…
Solving the semidefinite relaxation of QUBOs in matrix multiplication time, and faster with a quantum computer
Brandon Augustino, Giacomo Nannicini, Tamás Terlaky +1
Recent works on quantum algorithms for solving semidefinite optimization (SDO) problems have leveraged a quantum-mechanical interpretation of positive semidefinite matrices to deve…
Quantum tomography using state-preparation unitaries
Joran van Apeldoorn, Arjan Cornelissen, András Gilyén +1
We describe algorithms to obtain an approximate classical description of a -dimensional quantum state when given access to a unitary (and its inverse) that prepares it. For pure…
Quantum Interior Point Methods for Semidefinite Optimization
Brandon Augustino, Giacomo Nannicini, Tamás Terlaky +1
We present two quantum interior point methods for semidefinite optimization problems, building on recent advances in quantum linear system algorithms. The first scheme, more simila…