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arxiv: 1103.0480 · v2 · pith:NID4ZH7Hnew · submitted 2011-03-02 · 🪐 quant-ph

Quantum learning algorithms for quantum measurements

classification 🪐 quant-ph
keywords quantumlearningmeasurementsalgorithmalgorithmscaseexamplesoptimal
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We study quantum learning algorithms for quantum measurements. The optimal learning algorithm is derived for arbitrary von Neumann measurements in the case of training with one or two examples. The analysis of the case of three examples reveals that, differently from the learning of unitary gates, the optimal algorithm for learning of quantum measurements cannot be parallelized, and requires quantum memories for the storage of information.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Quantum Advantage in Storage and Retrieval of Isometry Channels

    quant-ph 2025-07 unverdicted novelty 7.0

    Quantum strategy stores isometry channels with n = Θ(1/√ε) queries for error ε, quadratic improvement over classical n = Θ(ε^{-1}).