Year: 2008
Type: article
Abstract: We discuss how to significantly reduce leakage errors in topological quantum computation by introducing an irrelevant error in phase, using the construction of a controlled-NOT (CNOT) gate in the Fibonacci anyon model as a concrete example. To be specific, we construct a functional braid in a six-anyon Hilbert space that exchanges two neighboring anyons while conserving the encoded quantum information. The leakage error is $\ensuremath{\sim}{10}^{\ensuremath{-}10}$ for a braid of $\ensuremath{\sim}100$ interchanges of anyons. Applying the braid greatly reduces the leakage error in the construction of generic controlled-rotation gates.
Source: Physical Review A
Authors: Haitan Xu, Xin Wan
Institution: Zhejiang University
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2052647583