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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > HAAR MEASURE:
Reports tagged with Haar measure:
TR24-127 | 28th July 2024
Bill Fefferman, Soumik Ghosh, Wei Zhan

Anti-Concentration for the Unitary Haar Measure and Applications to Random Quantum Circuits

We prove a Carbery-Wright style anti-concentration inequality for the unitary Haar measure, by showing that the probability of a polynomial in the entries of a random unitary falling into an $\varepsilon$ range is at most a polynomial in $\varepsilon$. Using it, we show that the scrambling speed of a random ... more >>>




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