arrow
Return

Random unitaries in extremely low depth

delete2025-07-03
delete0
delete
OA
AI
T
Thomas Schuster *
J
Jonas Haferkamp *
H
Hsin-Yuan Huang *
DOI:10.1126/science.adv8590delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
Understanding random processes in nature is important across a range of science and engineering fields. In quantum science, randomization is achieved by the generation of Haar unitary matrices. However, present protocols for the generation of random unitary operations is thought to take long evolution times and require deep circuits. By contrast, Schuster et al. found that local quantum circuits can form random unitaries in exponentially lower depths rather than in the polynomial depths seen in classical dynamics (see the Perspective by Yamamoto and Wada). Such a speedup will be important for benchmarking quantum technologies and probing complex quantum dynamics. —Ian S. Osborne

Journal

Science cover
Science
IF:
45.8
Papers:
1.4W
Citations:
78.6W

Organization

C
California Institute of Technology
Scholars:
2.9W
Papers: 2.5W
Citations: 4.9W