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The study gives a controlled testbed for ground-state preparation: an exactly solvable family of quadratic fermionic Hamiltonians that supports both analytical and numerical checks under depolarizing noise. Its main finding is that the best method depends on the phase. Multi-frequency cooling outperforms adiabatic evolution in the topological phase, where gap closing limits adiabatic protocols, and cooling is more robust to parameter errors than QAOA. For readers, the result is more useful as a way to choose algorithms for specific conditions than as evidence of a general quantum advantage.
A new benchmark tests quantum algorithms with realistic noise

This study benchmarks cooling, adiabatic, and optimization quantum algorithms under depolarizing noise, finding performance varies by phase.
Researchers have established a new benchmark for evaluating quantum algorithms by testing their ability to prepare ground states amidst realistic noise. The work, centered on quadratic fermionic Hamiltonians exhibiting two distinct phases separated by a quantum phase transition, allows for both analytical and numerical comparisons of algorithms, a rare combination for assessing performance. Results show multi-frequency cooling algorithms, as proposed in Phys. 7 (2025) 033162, can outperform adiabatic evolution in the topological phase, where gap-closing typically limits adiabatic protocols. The team further demonstrated enhanced robustness to parameter imperfections in the cooling protocol, suggesting a practical advantage for noisy quantum state preparation. An exactly solvable family of quadratic fermionic Hamiltonians is now a benchmark for evaluating quantum algorithms under realistic conditions, allowing for both analytical and numerical validation of performance. This model facilitates a direct comparison…
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