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Multiscale Quantum Approximate Optimization Algorithm

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arxiv 2312.06181 v1 pith:6MOVNOGX submitted 2023-12-11 quant-ph

classification quant-ph
keywords qaoaalgorithmquantumapproximatedepthsoptimizationalgorithmscurrent
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The quantum approximate optimization algorithm (QAOA) is one of the canonical algorithms designed to find approximate solutions to combinatorial optimization problems in current noisy intermediate-scale quantum (NISQ) devices. It is an active area of research to exhibit its speedup over classical algorithms. The performance of the QAOA at low depths is limited, while the QAOA at higher depths is constrained by the current techniques. We propose a new version of QAOA that incorporates the capabilities of QAOA and the real-space renormalization group transformation, resulting in enhanced performance. Numerical simulations demonstrate that our algorithm can provide accurate solutions for certain randomly generated instances utilizing QAOA at low depths, even at the lowest depth. The algorithm is suitable for NISQ devices to exhibit a quantum advantage.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Reducing QAOA Circuit Depth by Factoring out Semi-Symmetries

    quant-ph 2024-11 reject novelty 7.0 of 10

    A QUBO preprocessing algorithm factors out partial coupling symmetries into ancilla qubits, reducing QAOA CNOT count and circuit depth while preserving the ground state energy.

  2. Reducing QUBO Density by Factoring Out Semi-Symmetries

    quant-ph 2024-12 conditional novelty 6.0 of 10

    Semi-symmetries in QUBO matrices can be factored into ancilla qubits, reducing couplings and QAOA depth by up to 45% while preserving the ground state if the anchoring parameter is large enough.

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