{"ID":5676820,"CreatedAt":"2026-07-03T03:29:23.032456456Z","UpdatedAt":"2026-07-07T01:06:03.009715918Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2607.02363","arxiv_id":"2607.02363","title":"Stable Self-Modulating Quantum Fast-Weight Programmers with Bounded Memory Gates","abstract":"Quantum Fast-Weight Programmers (QFWPs) store temporal information in dynamically programmed variational-circuit parameters rather than in nonlinear recurrent hidden states, offering a practical route to quantum sequence modeling. Self-Modulating QFWP improves this framework by using input-dependent gates for both new fast-weight updates and the accumulated fast-weight state, but its unbounded old-state multiplier can diverge in long-sequence regimes. We propose a bounded old-state modulation rule that applies a sign-preserving tanh gate only to the recurrent memory branch while leaving the additive update and new-update modulation unchanged. We evaluate standard QFWP, full Self-Modulating QFWP, Only-New, and Only-Old variants on two CUDA-Q quantum-dynamics forecasting tasks and on Milan SMS telecommunication activity prediction. The quantum-dynamics results show that old-state modulation is the most consistent source of improvement over Standard QFWP, and that bounding the old-state gate removes long-sequence divergence while improving aggregate robustness. On Milan SMS forecasting, the original unbounded Self-Modulating QFWP converges across the tested grid and shows its clearest gains at longer input windows, with behavior close to the Only-Old ablation. These findings identify accumulated-memory modulation as the key mechanism of Self-Modulating QFWP and bounded old-state gating as a targeted stabilization strategy.","short_abstract":"Quantum Fast-Weight Programmers (QFWPs) store temporal information in dynamically programmed variational-circuit parameters rather than in nonlinear recurrent hidden states, offering a practical route to quantum sequence modeling. Self-Modulating QFWP improves this framework by using input-dependent gates for both new...","url_abs":"https://arxiv.org/abs/2607.02363","url_pdf":"https://arxiv.org/pdf/2607.02363v1","authors":"[\"Kuo-Chung Peng\",\"Jiun-Cheng Jiang\",\"Chun-Hua Lin\",\"Yifeng Peng\",\"Junghoon Justin Park\",\"Huan-Hsin Tseng\",\"Hsin-Yi Lin\",\"Kuan-Cheng Chen\",\"Chen-Yu Liu\",\"Shinjae Yoo\",\"Samuel Yen-Chi Chen\"]","published":"2026-07-02T16:06:04Z","proceeding":"quant-ph","tasks":"[\"quant-ph\",\"cs.AI\",\"cs.ET\",\"cs.LG\",\"cs.NE\"]","methods":"[]","has_code":false}