Quantum Circuits as a Dynamical Resource to Learn Nonequilibrium Long-Range Order

• URL: http://arxiv.org/abs/2602.16788v1
• Date: Wed, 18 Feb 2026 19:00:07 GMT
• Title: Quantum Circuits as a Dynamical Resource to Learn Nonequilibrium Long-Range Order
• Authors: Fabian Ballar Trigueros, Markus Heyl,
• Abstract summary: We show that quantum circuits can learn states of matter with long-range order that are inaccessible in equilibrium.<n>Our work establishes coherent quantum dynamics as a powerful resource for engineering nonequilibrium phases of matter.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Equilibrium statistical ensembles impose stringent constraints on phases of quantum matter. For example, the Mermin-Wagner theorem prohibits long-range order in low-dimensional systems beyond the ground state. Here, we show that quantum circuits can learn states of matter with long-range order that are inaccessible in equilibrium. We construct variational quantum circuits that generate symmetry-broken and symmetry-protected topological states with long-range order in one-dimensional systems at finite energy density, where equilibrium states are typically featureless. Importantly, the learned states can exhibit unconventional features with enhanced metrological properties such as a quantum Fisher information close to a GHZ state, but robust against local measurements. Our work establishes coherent quantum dynamics as a powerful resource for engineering nonequilibrium phases of matter, opening a path toward a broader dynamical scope of quantum order beyond the constraints of equilibrium ensembles.

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