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For the (D + 1)-th power of expectation: E x∼p cos ax√ D D+1 = e − 1 2 a2 E x∼p[x2] " 1 + − 1 2 a2 E x∼p x2 + 1 4! a4 E x∼p x4 − 1 8 a4 E x∼p x2 2 ! 1 D + O 1 D2 # = e − 1 2 a2 E x

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quant-ph 1

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2025 1

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CONDITIONAL 1

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Near-Optimal Parameter Tuning of Level-1 QAOA for Ising Models

quant-ph · 2025-01-27 · conditional · novelty 5.0

For p=1 QAOA on Ising models, the paper derives analytic bandwidth bounds, eliminates the mixer angle to reduce optimization to a one-dimensional line search, and proves that for regular graphs the global optimum coincides with the first local optimum near gamma equals zero.

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  • Near-Optimal Parameter Tuning of Level-1 QAOA for Ising Models quant-ph · 2025-01-27 · conditional · none · ref 3

    For p=1 QAOA on Ising models, the paper derives analytic bandwidth bounds, eliminates the mixer angle to reduce optimization to a one-dimensional line search, and proves that for regular graphs the global optimum coincides with the first local optimum near gamma equals zero.