286 citations · 302 across the 16 of their papers we have counts for
8 papers · 1 filter
Mechanisms for Quantum Advantage in Global Optimization of Nonconvex Functions
Dylan Herman, Guneykan Ozgul, Anuj Apte +4
We present new theoretical mechanisms for quantum speedup in the global optimization of nonconvex functions, expanding the scope of quantum advantage beyond traditional tunneling-b…
A simple analysis of a quantum-inspired algorithm for solving low-rank linear systems
Tyler Chen, Junhyung Lyle Kim, Archan Ray +3
We describe and analyze a simple algorithm for sampling from the solution to a linear system . We assume…
Spin-Boson Mapping of the Quantum Approximate Optimization Algorithm
Sami Boulebnane, Abid Khan, Minzhao Liu +4
The Quantum Approximate Optimization Algorithm (QAOA) achieves monotonically improving performance with circuit depth , yet the study of the high-depth regime has been obstructe…
Threshold for Fault-tolerant Quantum Advantage with the Quantum Approximate Optimization Algorithm
Sivaprasad Omanakuttan, Zichang He, Zhiwei Zhang +9
Optimization is often cited as a promising application of quantum computers. However, the low degree of provable quantum speedups has led prior rigorous end-to-end resource analyse…
Provably faster randomized and quantum algorithms for -means clustering via uniform sampling
Tyler Chen, Archan Ray, Akshay Seshadri +6
The -means algorithm (Lloyd's algorithm) is a widely used method for clustering unlabeled data. A key bottleneck of the -means algorithm is that each iteration requires time…
Iterative Interpolation Schedules for Quantum Approximate Optimization Algorithm
Anuj Apte, Shree Hari Sureshbabu, Ruslan Shaydulin +5
Quantum Approximate Optimization Algorithm (QAOA) is a promising quantum heuristic with empirical evidence of speedup over classical state-of-the-art for some problems. QAOA uses a…