286 citations · 910 across the 29 of their papers we have counts for
8 papers · 2 filters
From Quantum Tunneling to Classical Optimization through Instantons
Jiayu Shen, Dylan Herman, Guneykan Ozgul +5
We use an instanton-based analysis to show that Path Integral Stochastic Gradient Descent (PISGD), a classical optimization algorithm instantiated from path integral Monte Carlo (P…
Quantum Simulation on Riemannian Manifolds
Dylan Herman, Jacob Watkins, Guneykan Ozgul +4
We investigate algorithms for the quantum simulation of the Schrödinger equation on a Riemannian manifold, where the kinetic operator is defined by the Laplace--Beltrami operator c…
Quantum algorithms for orthogonal polynomial transforms
Anupam Prakash, Shree Hari Sureshbabu, Dylan Herman +1
A quantum orthogonal polynomial transform (QOPT) is an algorithmic primitive that maps a superposition of standard basis states coherently to a basis of norm…
Decoupling of the QAOA into independent spin-boson systems and high-depth performance on pure and mixed spin glasses
Sami Boulebnane, Abid Khan, Pragna Subrahmanya +4
The Quantum Approximate Optimization Algorithm (QAOA) is regarded as a promising candidate for near-term quantum advantage in combinatorial optimization, yet our ability to study i…
Near-Optimal Quantum Lower Bounds for Convex Optimization via Fourier Rank
Brandon Augustino, Shouvanik Chakrabarti, Enrico Fontana +4
We establish a linear quantum query lower bound for high-accuracy convex optimization over an explicit family of -dimensional ellipsoids. We focus on linear optimization with an…
Fault-tolerant execution of error-corrected quantum algorithms
Michael A. Perlin, Zichang He, Anthony Alexiades Armenakas +9
Scaling up quantum algorithms to tackle high-impact problems in science and industry requires quantum error correction and fault tolerance. While progress has been made in experime…
Quantum Speedups for Group Relaxations of Integer Linear Programs
Brandon Augustino, Dylan Herman, Guneykan Ozgul +5
Integer Linear Programs (ILPs) are a flexible and ubiquitous model for discrete optimization problems. Solving ILPs is \textsf{NP-Hard} yet of great practical importance. Super-qua…
Quantum Speedups for Derivative Pricing Beyond Black-Scholes
Dylan Herman, Yue Sun, Jin-Peng Liu +5
This paper explores advancements in quantum algorithms for derivative pricing of exotics, a computational pipeline of fundamental importance in quantitative finance. For such cases…