The Pursuit of Uniqueness: Extending Valiant-Vazirani Theorem to the Probabilistic and Quantum Settings

Valiant-Vazirani showed in 1985 \cite{VV85} that solving NP with the promise that "yes" instances have only one witness is powerful enough to solve the entire NP class (under randomized reductions). We are interested in extending this result to the quantum setting. We prove extensions to...

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Bibliographic Details
Main Authors: Dorit Aharonov, Michael Ben-Or, Fernando G.S.L. Brandão, Or Sattath
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2022-03-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2022-03-17-668/pdf/