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Measurement-based quantum computation with variable-range interacting systems
Debkanta Ghosh, Keshav Das Agarwal, Pritam Halder, Aditi Sen De
https://arxiv.org/abs/2506.11909

Measurement-based quantum computation with variable-range interacting systems
We demonstrate that weighted graph states (WGS) generated via variable-range interacting Ising spin systems where the interaction strength decays with distance as a power law, characterized by the fall-off rate, can successfully implement single- and two-qubit gates with fidelity exceeding classical limits by performing suitable measurements. In the regime of truly long-range interactions (small fall-off rate), optimizing over local unitary operations, while retaining the local measurement sche…

Transient Dynamics in Lattices of Differentiating Ring Oscillators
Peter DelMastro, Arjun Karuvally, Hananel Hazan, Hava Siegelmann, Edward Rietman
https://arxiv.org/abs/2506.07253

Transient Dynamics in Lattices of Differentiating Ring Oscillators
Recurrent neural networks (RNNs) are machine learning models widely used for learning temporal relationships. Current state-of-the-art RNNs use integrating or spiking neurons -- two classes of computing units whose outputs depend directly on their internal states -- and accordingly there is a wealth of literature characterizing the behavior of large networks built from these neurons. On the other hand, past research on differentiating neurons, whose outputs are computed from the derivatives of …