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Single-Qubit Measurements Recovered Sparse Entangled States

The method avoided entangling measurement gates under sparsity assumptions.

Published Updated Story ID: mp-2026-09-29-017
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Summary

The method avoided entangling measurement gates under sparsity assumptions.

The authors show that quantum states sparse in an unknown product basis can be learned from single-qubit measurements with polynomial sample complexity. Constant sparsity also permits polynomial classical computation; polynomially growing sparsity can make the classical step harder. The guarantees rely on the stated sparsity and basis structure.

Why it matters

The method avoided entangling measurement gates under sparsity assumptions.

Limits and context

No additional limitation was separately recorded.

Key claims

  1. The method avoided entangling measurement gates under sparsity assumptions.

    Evidence: source-2026-09-29-019

Sources

  1. arXiv preprint 2609.35648arXiv · primary research

Corrections

No corrections have been recorded for this story.