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Exact synthesis of multiqubit Clifford+T circuits by Giles, Brett; Selinger, Peter is a scholarly article available to read on EtoBox.

What is Exact synthesis of multiqubit Clifford+T circuits about?

We prove that a unitary matrix has an exact representation over the Clifford+T gate set with local ancillas if and only if its entries are in the ring Z[1/sqrt(2),i]. Moreover, we show that one ancilla always suffices. These facts were conjectured by Kliuchnikov, Maslov, and Mosca. We obtain an algorithm for synthesizing a exact Clifford+T circuit from any such n-qubit operator. We also characterize the Clifford+T operators that can be represented without ancillas.

Author

Giles, Brett; Selinger, Peter

Published

2012

Language

EN