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- W3010321387 abstract "We extend the topological quantum computation scheme using the Pfaffian quantum Hall state, which has been recently proposed by Das Sarma et al., in a way that might potentially allow for the topologically protected construction of a universal set of quantum gates. We construct, for the first time, a topologically protected Controlled-NOT gate which is entirely based on quasihole braidings of Pfaffian qubits. All single-qubit gates, except for the pi/8 gate, are also explicitly implemented by quasihole braidings. Instead of the pi/8 gate we try to construct a topologically protected Toffoli gate, in terms of the Controlled-phase gate and CNOT or by a braid-group based Controlled-Controlled-Z precursor. We also give a topologically protected realization of the Bravyi-Kitaev two-qubit gate g_3." @default.
- W3010321387 created "2020-03-13" @default.
- W3010321387 creator A5062965287 @default.
- W3010321387 date "2006-07-05" @default.
- W3010321387 modified "2023-09-27" @default.
- W3010321387 title "Topologically protected Hadamard, phase and Controlled-NOT gates for quantum computation with non-Abelian anyons in the Pfaffian quantum Hall state" @default.
- W3010321387 hasPublicationYear "2006" @default.
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