Fixed-Protocol Amortized MPS Tomography with Conformalized Predictive Uncertainty
Quantum state tomography is sample-starved, and the states one prepares live on a narrow, learnable manifold. A $k{=}0$ prior-only control shows that on concentrated families a prior estimate is already near-optimal, so ``high fidelity at few measurements'' can be family memorization rather than tomography; genuine measurement-efficiency needs a model that conditions on the measurements and demonstrably uses them. On a shared matrix-product-state (MPS) core parameterization we study two routes. Approach~A learns a generative prior over MPS cores with measurement-guided posterior inference (gold-standard-validated, but whose few-measurement accuracy the control shows is largely the prior)....
| Authors | Jian Xu, Delu Zeng, John Paisley et al. |
|---|---|
| Primary category | quant-ph |
| Published | 13 July 2026 |
| Last updated at source | 13 July 2026 |
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