Fixed-Depth Two-Qubit Circuits and the Monodromy Polytope

For a native gate set which includes all single-qubit gates, we apply results from symplectic geometry to analyze the spaces of two-qubit programs accessible within a fixed number of gates. These techniques yield an explicit description of this subspace as a convex polytope, presented by a family of...

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Bibliographic Details
Main Authors: Eric C. Peterson, Gavin E. Crooks, Robert S. Smith
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2020-03-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2020-03-26-247/pdf/