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quant-ph2026
Statistics of the Random Matrix Spectral Form Factor
Alex Altland, Francisco Divi, Tobias Micklitz +2
The spectral form factor of random matrix theory plays a key role in the description of disordered and chaotic quantum systems. While its moments are known to be approximately Gaus…
quant-ph2025
Freeness Reined in by a Single Qubit
Alexander Altland, Francisco Divi, Tobias Micklitz +1
Free probability provides a framework for describing correlations between non-commuting observables in complex quantum systems whose Hilbert-space states follow maximum-entropy dis…
quant-ph2025
Simulation-Free Fidelity Estimation via Quantum Output Order Statistics
Tobias Micklitz
We introduce a simulation-free method to estimate the fidelity of large quantum circuits based on the order statistics of measured output probabilities from highly entangled, chaot…