Pseudorandom unitaries are neither real nor sparse nor noise-robust

Pseudorandom quantum states (PRSs) and pseudorandom unitaries (PRUs) possess the dual nature of being efficiently constructible while appearing completely random to any efficient quantum algorithm. In this study, we establish fundamental bounds on pseudorandomness. We show that PRSs and PRUs exist o...

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Bibliographic Details
Main Authors: Tobias Haug, Kishor Bharti, Dax Enshan Koh
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2025-06-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2025-06-04-1759/pdf/
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