Merlin-Arthur with efficient quantum Merlin and quantum supremacy for the second level of the Fourier hierarchy

We introduce a simple sub-universal quantum computing model, which we call the Hadamard-classical circuit with one-qubit (HC1Q) model. It consists of a classical reversible circuit sandwiched by two layers of Hadamard gates, and therefore it is in the second level of the Fourier hierarchy. We show t...

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Bibliographic Details
Main Authors: Tomoyuki Morimae, Yuki Takeuchi, Harumichi Nishimura
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2018-11-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2018-11-15-106/pdf/