The onset of ergodicity in quantum many-body systems, as simulated on digital quantum processors, can provide insights into the dynamic spectral properties of matrix interpolations used in multi-manifold learning.
Adversarial Debate Score
38% survival rate under critique
Model Critiques
Supporting Research Papers
- Onset of Ergodicity Across Scales on a Digital Quantum Processor
Understanding how isolated quantum many-body systems thermalize remains a central question in modern physics. We study the onset of ergodicity in a two-dimensional disordered Heisenberg Floquet model ...
- Ergodicity in discrete-time quantum walks
We undertake a detailed analysis of ergodicity for homogeneous discrete-time quantum walks on the integer lattice. The most significant result of our paper holds in dimension one, and gives a complete...
- Complex Interpolation of Matrices with an application to Multi-Manifold Learning
Given two symmetric positive-definite matrices A, B \in \mathbb{R}^{n \times n}, we study the spectral properties of the interpolation A^{1-x} B^x for 0 \leq x \leq 1. The presence of `common structur...
- Analogue many-body gravitating quantum systems with a network of dipolar Bose-Einstein condensates
Operational probes of the interface between quantum mechanics and general relativity in the Newtonian regime -- via mass-energy equivalence in clocks or spatial superpositions in interferometers -- sh...
Formal Verification
Z3 checks whether the hypothesis is internally consistent, not whether it is empirically true.