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Limited quantum memory erases testing vs. learning gap for stabilizer states

A new arXiv preprint explores the challenges of stabilizer state testing and learning within limited quantum memory. Researchers found that when quantum memory is restricted to $k$ qubits out of $n$, the distinction between testing and learning stabilizer states collapses. Specifically, testing requires $O(n-k)$ copies, and learning requires $O(n^2/k)$ copies in a non-adaptive framework, indicating that limited memory makes testing as difficult as learning. AI

RANK_REASON The cluster discusses a new academic paper detailing theoretical findings in quantum computing. [lever_c_demoted from research: ic=2 ai=0.4]

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Limited quantum memory erases testing vs. learning gap for stabilizer states

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  1. Hugging Face Daily Papers TIER_1 English(EN) ·

    Optimal Stabilizer Testing and Learning with Limited Quantum Memory

    We study stabilizer state testing and learning with limited coherent quantum memory. Here an algorithm sequentially receives copies of an unknown $n$-qubit state, but may keep only $k$ qubits of coherent quantum memory between measurements. With unrestricted memory, seminal work …

  2. Mastodon — fosstodon.org TIER_1 English(EN) · [email protected] ·

    Quantum stabilizer testing fails even with 99% memory Limited quantum memory collapses the gap between stabilizer testing and learning, a new arXiv preprint sho

    Quantum stabilizer testing fails even with 99% memory Limited quantum memory collapses the gap between stabilizer testing and learning, a new arXiv preprint shows, with both needing Theta(n) copies. https://www. notatechguy.com/quantum-stabil izer-testing-fails-even-with-99-memor…