Oracle separation of QMA and QCMA with bounded adaptivity

التفاصيل البيبلوغرافية
العنوان: Oracle separation of QMA and QCMA with bounded adaptivity
المؤلفون: Ben-David, Shalev, Kundu, Srijita
سنة النشر: 2024
المجموعة: Computer Science
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Computer Science - Computational Complexity
الوصف: We give an oracle separation between QMA and QCMA for quantum algorithms that have bounded adaptivity in their oracle queries; that is, the number of rounds of oracle calls is small, though each round may involve polynomially many queries in parallel. Our oracle construction is a simplified version of the construction used recently by Li, Liu, Pelecanos, and Yamakawa (2023), who showed an oracle separation between QMA and QCMA when the quantum algorithms are only allowed to access the oracle classically. To prove our results, we introduce a property of relations called \emph{slipperiness}, which may be useful for getting a fully general classical oracle separation between QMA and QCMA.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2402.00298
رقم الأكسشن: edsarx.2402.00298
قاعدة البيانات: arXiv