Number-Theoretic Characterizations of Some Restricted Clifford+T Circuits

Kliuchnikov, Maslov, and Mosca proved in 2012 that a $2\times 2$ unitary matrix $V$ can be exactly represented by a single-qubit Clifford+$T$ circuit if and only if the entries of $V$ belong to the ring $\mathbb{Z}[1/\sqrt{2},i]$. Later that year, Giles and Selinger showed that the same restriction...

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Bibliographic Details
Main Authors: Matthew Amy, Andrew N. Glaudell, Neil J. Ross
Format: Article
Language:English
Published: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2020-04-01
Series:Quantum
Online Access:https://quantum-journal.org/papers/q-2020-04-06-252/pdf/