Journal
PHYSICAL REVIEW X
Volume 6, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevX.6.031019
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Funding
- BSF
- Israel Science Foundation (ISF)
- Minerva
- ERC Grant [340210]
- Institute of Quantum Information and Matter (IQIM)
- Gordon and Betty Moore Foundation
- NSF frontier center
- European Research Council (ERC) [340210] Funding Source: European Research Council (ERC)
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A universal quantum computer requires a full set of basic quantum gates. With Majorana bound states one can form all necessary quantum gates in a topologically protected way, bar one. In this paper, we present a scheme that achieves the missing, so-called, pi/8 magic phase gate without the need of fine-tuning for distinct physical realizations. The scheme is based on the manipulation of geometric phases described by a universal protocol and converges exponentially with the number of steps in the geometric path. Furthermore, our magic gate proposal relies on the most basic hardware previously suggested for topologically protected gates, and can be extended to an any-phase gate, where pi/8 is substituted by any alpha.
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