6 papers
The Rényi area law conjecture is false below in high dimensions
Tomotaka Kuwahara
Area laws express the expectation that entanglement in gapped quantum ground states scales with a boundary rather than a volume. In one dimension this holds for every Rényi entropy…
Collectivity limits quantum entanglement
Donghoon Kim, Tomotaka Kuwahara
Understanding what limits many-body quantum entanglement is a central problem in physics. Spatial locality has long provided a fundamental mechanism: correlations between a region…
Optimal low-rank compression of quantum dynamics
Hugo Mackay, Donghoon Kim, Tan Van Vu +1
Local quantum interactions generate dynamics in an exponentially large Hilbert space, yet locality and entanglement restrict the information that can spread and accumulate. Bounds…
A ballistic upper bound on the accumulation of bosonic on-site energies
Tomotaka Kuwahara, Marius Lemm, Carla Rubiliani
In this note, we study transport properties of the dynamics generated by translation-invariant and possibly long-ranged Hamiltonians of Bose-Hubbard type. For translation-invariant…
Spectral Small-Incremental-Entangling: Breaking Quasi-Polynomial Complexity Barriers in Long-Range Interacting Systems
Donghoon Kim, Yusuke Kimura, Hugo Mackay +6
How the detailed structure of quantum complexity emerges from quantum dynamics remains a fundamental challenge highlighted by advances in quantum simulators and information process…
Operator Spreading and Information Propagation: Equivalence and Beyond
Cheng Shang, Zhi-Guang Lu, Hayato Kinkawa +1
We investigate the quantitative relationship between operator spreading and classical information propagation in quantum systems. Focusing on a bi-partite quantum channel, we deriv…