We introduce a $0.611$-approximation algorithm for Quantum MaxCut and a $\frac{ 1+\sqrt{ 5}}{ 4} \approx 0.809$-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.
Categories: quant-ph