Exact synthesis of multiqubit Clifford+circuits
- 26 March 2013
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 87 (3)
- https://doi.org/10.1103/physreva.87.032332
Abstract
We prove that a unitary matrix has an exact representation over the Clifford+ gate set with local ancillas if and only if its entries are in the ring . 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+ circuit from any such -qubit operator. We also characterize the Clifford+ operators that can be represented without ancillas. DOI: http://dx.doi.org/10.1103/PhysRevA.87.032332 ©2013 American Physical Society
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This publication has 2 references indexed in Scilit:
- Quantum Computation and Quantum InformationAmerican Journal of Physics, 2002
- Elementary gates for quantum computationPhysical Review A, 1995