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Quantum memory limits stabilizer state testing and learning

By PulseAugur Editorial · [2 sources] ·

Researchers have explored the complexities of testing and learning stabilizer states in quantum computing when limited coherent quantum memory is available. They found that the separation between the ease of testing and the difficulty of learning these states, which exists with unrestricted memory, disappears under memory constraints. Specifically, the sample complexity for testing stabilizer states with $k$ qubits of memory scales with $n-k$, while learning them non-adaptively requires $\Theta(n^2/k)$ copies. This work highlights coherent quantum memory as the key resource enabling the typical distinction between stabilizer testing and learning. AI

IMPACT Identifies key resource constraints in quantum state manipulation, potentially influencing future quantum algorithm design.

RANK_REASON Academic paper detailing theoretical findings in quantum computing. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

Quantum memory limits stabilizer state testing and learning

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Academic paper detailing theoretical findings in quantum computing. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [2]

  1. arXiv cs.LG TIER_1 English(EN) · Srinivasan Arunachalam, Louis Schatzki ·

    Optimal Stabilizer Testing and Learning with Limited Quantum Memory

    arXiv:2607.02444v1 Announce Type: cross Abstract: 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 mea…

  2. arXiv cs.LG TIER_1 English(EN) · Louis Schatzki ·

    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 …

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