Julian Sonner

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quant-ph2026

Three Hamiltonians are Sufficient for Unitary $k$ -Design in Temporal Ensemble

Yi-Neng Zhou, Tian-Gang Zhou, Julian Sonner

Unitary $k$ -designs are central to quantum information and quantum many-body physics, as they provide efficient proxies for Haar-random dynamics. We study how chaotic Hamiltonian e…

quant-ph2025

Realizing Unitary $k$ -designs with a Single Quench

Yi-Neng Zhou, Robin Löwenberg, Julian Sonner

We present a single-quench protocol that generates unitary $k$ -designs with minimal control. A system first evolves under a random Hamiltonian $H_{1}$ ; at a switch time $t_s \geq t_{…

quant-ph2025

Measuring Rényi entropy with an Echo Protocol

Yi-Neng Zhou, Robin Löwenberg, Julian Sonner

We present efficient and practical protocols to measure the second Rényi entropy, whose exponential is known as the purity. Our approach is based on expressing the purity in terms…

Three Hamiltonians are Sufficient for Unitary k-Design in Temporal Ensemble

Realizing Unitary k-designs with a Single Quench

Measuring Rényi entropy with an Echo Protocol

Three Hamiltonians are Sufficient for Unitary $k$ -Design in Temporal Ensemble

Realizing Unitary $k$ -designs with a Single Quench