Approximate t-Designs in Generic Circuit Architectures

Unitary t-designs are distributions on the unitary group whose first t moments appear maximally random. Previous work has established several upper bounds on the depths at which certain specific random quantum circuit ensembles approximate t-designs. Here we show that these bounds can be extended to...

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Bibliographic Details
Main Authors: Daniel Belkin, James Allen, Soumik Ghosh, Christopher Kang, Sophia Lin, James Sud, Frederic T. Chong, Bill Fefferman, Bryan K. Clark
Format: Article
Language:English
Published: American Physical Society 2024-12-01
Series:PRX Quantum
Online Access:http://doi.org/10.1103/PRXQuantum.5.040344
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