Research map / Probabilistic and scientific modeling / Variational and generative sampling
Escaping from the Barren Plateau via Gaussian Initializations in Deep Variational Quantum Circuits
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use Gaussian initialization (variance 1/160) instead of uniform [0,2pi] | 15-qubit Heisenberg VQA · Heisenberg ground energy | convergence speed of loss | Helped |
| Use Gaussian initialization instead of uniform | LiH Givens VQA · LiH ground energy, GD accurate gradients | gap above global minimum: 10−4 vs higher than 10−1 | Helped |
| Use Gaussian initialization instead of uniform under constant noisy gradients | LiH Givens VQA · LiH ground energy, GD noisy gradients | gap above global minimum: 10−3 vs higher than 10−1 | Helped |
| Use Gaussian instead of zero initialization (accurate gradients) | Heisenberg VQA · Heisenberg ground energy, GD | trainability | Helped |
| Use Gaussian instead of zero initialization | LiH Givens VQA · LiH ground energy | final loss | No clear effect |
| Use adaptive gradient-noise variance (Eq. 12) instead of constant noise 0.001 (ablation) | LiH Givens VQA · LiH ground energy | convergence | Helped |
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