A unitary analogue of the Rosenzweig-Porter ensemble is defined through Dyson Brownian motion and shown numerically to share eigenvalue and eigenstate statistics with the original ensemble.
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Trotterized near-thermal dynamics are substantially more robust to gate and Trotter errors than assumed, enabled by linear gate-error scaling with entanglement and a random product state ensemble approximating thermal states.
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Circular Rosenzweig-Porter random matrix ensemble
A unitary analogue of the Rosenzweig-Porter ensemble is defined through Dyson Brownian motion and shown numerically to share eigenvalue and eigenstate statistics with the original ensemble.
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Robustness of near-thermal dynamics on digital quantum computers
Trotterized near-thermal dynamics are substantially more robust to gate and Trotter errors than assumed, enabled by linear gate-error scaling with entanglement and a random product state ensemble approximating thermal states.