quantum-fast-weight-programmers

name	quantum-fast-weight-programmers
description	Quantum Fast-Weight Programmers with bounded memory gates for stable quantum sequence modeling. Input-dependent gates for fast-weight updates with sign-preserving tanh stabilization for long-sequence regimes. Applicable to quantum dynamics forecasting and time series prediction.
trigger	quantum fast weight, QFWP, quantum sequence modeling, bounded memory gates, quantum dynamics forecasting, self-modulating quantum
category	ai_collection/collection/skills

Stable Self-Modulating Quantum Fast-Weight Programmers

Overview

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.

Problem

Self-Modulating QFWP uses 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.

Solution: Bounded Old-State Modulation

Apply a sign-preserving tanh gate only to the recurrent memory branch while leaving the additive update and new-update modulation unchanged.

Architecture Variants

1. Standard QFWP: Basic fast-weight programming
2. Self-Modulating QFWP: Full input-dependent gating (unbounded)
3. Only-New: Modulate only new updates
4. Only-Old: Modulate only accumulated state
5. Bounded Old-State (proposed): tanh-gated recurrent memory

Key Findings

• Old-state modulation is the most consistent source of improvement over Standard QFWP
• Bounding the old-state gate removes long-sequence divergence
• Improves aggregate robustness on quantum-dynamics forecasting tasks
• Behavior close to Only-Old ablation on Milan SMS forecasting

Implementation Pattern

# Bounded old-state modulation
old_state = tanh(recurrent_memory)  # Sign-preserving bound
new_state = old_state * update_gate + additive_update

Applications

• CUDA-Q quantum-dynamics forecasting
• Milan SMS telecommunication activity prediction
• Any quantum sequence modeling with long input windows

Activation Keywords

quantum fast weight, QFWP, quantum sequence modeling, bounded memory gates, quantum dynamics, self-modulating, tanh gating

Source

arXiv: 2607.02363 (2026-07-02)