Improved Algorithms for Quantum MaxCut via Partially Entangled Matchings

• URL: http://arxiv.org/abs/2504.15276v1
• Date: Mon, 21 Apr 2025 17:59:02 GMT
• Title: Improved Algorithms for Quantum MaxCut via Partially Entangled Matchings
• Authors: Anuj Apte, Eunou Lee, Kunal Marwaha, Ojas Parekh, James Sud,
• Abstract summary: A novel ingredient in both of these algorithms is to partially entangle pairs of qubits associated to edges in a matching.<n>This allows us to interpolate between product states and matching-based states with a tunable parameter.
• Score: 0.18641315013048299
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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