Improved Algorithms for Quantum MaxCut via Partially Entangled Matchings
Abstract
We introduce a 0.611-approximation algorithm for Quantum MaxCut and a 1+54 ≈ 0.809-approximation algorithm for the EPR Hamiltonian of [arXiv:2209.02589]. A novel ingredient in both of these algorithms is to partially entangle pairs of qubits associated to edges in a matching, while preserving the direction of their single-qubit Bloch vectors. This allows us to interpolate between product states and matching-based states with a tunable parameter.
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