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Quantum Processes with Finite Memory Show Logarithmic Capacity Growth

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Researchers have developed a method to quantify the complexity of quantum device responses over time with finite memory. They established a law relating sequential response capacity to run length and probability resolution, showing capacity grows logarithmically with run length at fixed resolution. This construction uses time-dependent phase rotations on a single qubit, achieving response probabilities of exactly zero or one. Classical stochastic processes, in contrast, exhibit only linear capacity under similar tests. AI

RANK_REASON Academic paper detailing a new theoretical finding in quantum physics. [lever_c_demoted from research: ic=1 ai=0.1]

Read on arXiv cs.LG →

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Quantum Processes with Finite Memory Show Logarithmic Capacity Growth

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Academic paper detailing a new theoretical finding in quantum physics. [lever_c_demoted from research: ic=1 ai=0.1]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Yibin Wang ·

    Sequential Capacity of Quantum Processes with Finite Memory

    arXiv:2610.02068v1 Announce Type: cross Abstract: How complex can the responses of a quantum device become as it runs longer with a fixed internal memory? We quantify this complexity through sequential response capacity: how many adaptive testing stages, each using a fresh run, c…

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