Quantum dynamics of spin systems using quantum-like resources
Abstract
Recent publications have introduced the concept of quantum-like (QL) bits, along with their associated QL-states and QL-gate operations, emerging from the dynamics of complex synchronized networks. The present work builds on this framework to present a simulation of quantum dynamics in spin systems. We focus on the transverse field Ising model, a widely studied Hamiltonian for interacting spin systems. We show how circuits, built using the QL analog of quantum gates, can be used to prepare an arbitrary initial wavepacket and simulate the time evolution of the resulting state for extracting physical observables such as magnetization. Beyond the statevector dynamics, we introduce a set of metrics that characterize how QL-circuit operations transform the underlying graph connections. These metrics quantify the microscopic coupling, phase coherence, and effective inter-block coupling generated by the circuit. These graph-level quantities provide constraints and design targets for potential physical implementations, indicating where interconnection resources, phase control, and effective coupling strength must be engineered in a hardware realization. Overall, this study demonstrates how classical resources can be harnessed to simulate quantum systems and we discuss the advantages and limitations.
Related
- Growth and spreading of quantum resources under random circuit dynamics
- Kinematic Control and Dephasing Dynamics of Quantum Resources in e+e−→τ+τ−
- Magnetocaloric properties of centered molecular quantum spin systems
- Intrinsic Orbital Hall Effect in Degenerate Spin-3/2 Systems driven by the quantum metric
- Response theory at low temperature for weakly interacting quantum spin systems
BibTeX
@misc{saha2026quantum,
title = {{Quantum dynamics of spin systems using quantum-like resources}},
author = {Debadrita Saha and Ethan Dickey and William Horvat and Sabre Kais and Gregory D. Scholes},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.07308},
eprint = {2610.07308},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.07308},
}
RIS
TY - UNPB
TI - Quantum dynamics of spin systems using quantum-like resources
AU - Debadrita Saha
AU - Ethan Dickey
AU - William Horvat
AU - Sabre Kais
AU - Gregory D. Scholes
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2610.07308
UR - https://arxiv.org/abs/2610.07308
AB - Recent publications have introduced the concept of quantum-like (QL) bits, along with their associated QL-states and QL-gate operations, emerging from the dynamics of complex synchronized networks. The present work builds on this framework to present a simulation of quantum dynamics in spin systems. We focus on the transverse field Ising model, a widely studied Hamiltonian for interacting spin systems. We show how circuits, built using the QL analog of quantum gates, can be used to prepare an arbitrary initial wavepacket and simulate the time evolution of the resulting state for extracting physical observables such as magnetization. Beyond the statevector dynamics, we introduce a set of metrics that characterize how QL-circuit operations transform the underlying graph connections. These metrics quantify the microscopic coupling, phase coherence, and effective inter-block coupling generated by the circuit. These graph-level quantities provide constraints and design targets for potential physical implementations, indicating where interconnection resources, phase control, and effective coupling strength must be engineered in a hardware realization. Overall, this study demonstrates how classical resources can be harnessed to simulate quantum systems and we discuss the advantages and limitations.
ER -