The spectral properties of complex matrix interpolation can be used to characterize and predict phase transitions in ergodicity during digital quantum simulations of many-body systems.
Adversarial Debate Score
57% 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 ...
- Quantum Eigenvalue Transformations for Arbitrary Matrices
Quantum Signal Processing (QSP) and Quantum Singular Value Transformation (QSVT) provide an efficient framework for implementing polynomials of block-encoded matrices, and thus offer a systematic appr...
- Optimizing and Comparing Quantum Resources of Statistical Phase Estimation and Krylov Subspace Diagonalization
We develop a framework that enables direct and meaningful comparison of two early fault-tolerant methods for the computation of eigenenergies, namely \gls{qksd} and \gls{spe}, within which both method...
- 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...
Formal Verification
Z3 checks whether the hypothesis is internally consistent, not whether it is empirically true.