4 papers
An improved Quantum Max Cut approximation via matching
Eunou Lee, Ojas Parekh
Finding a high (or low) energy state of a given quantum Hamiltonian is a potential area to gain a provable and practical quantum advantage. A line of recent studies focuses on Quan…
A 0.8395-approximation algorithm for the EPR problem
Anuj Apte, Eunou Lee, Kunal Marwaha +3
We give an efficient 0.8395-approximation algorithm for the EPR Hamiltonian. Our improvement comes from a new nonlinear monogamy-of-entanglement bound on star graphs and a refined…
A quantum analogue of convex optimization
Eunou Lee
Convex optimization is the powerhouse behind the theory and practice of optimization. We introduce a quantum analogue of unconstrained convex optimization: computing the minimum ei…
Improved Algorithms for Quantum MaxCut via Partially Entangled Matchings
Anuj Apte, Eunou Lee, Kunal Marwaha +2
We introduce a -approximation algorithm for Quantum MaxCut and a -approximation algorithm for the EPR Hamiltonian of [arXiv:2209.02589].…