Author(s): Toshihiro Yada, Ryotaro Suzuki, Yosuke Mitsuhashi, and Nobuyuki Yoshioka The unitary design formation in random circuits has attracted considerable attention due to its wide range of practical applications and relevance to fundamental physics. While the formation rates in Haar random circuits have been extensively studied in previous works, it remains an open question ho… [Phys. Rev. Lett. 136, 030401] Published Tue Jan 20, 2026