Abstract:
Measurement-only topological quantum computation using both projective and interferometrical measurement of topological charge is described. Various issues that would arise when realizing it in fractional quantum Hall systems are discussed.
Abstract:
Disclosed herein is a topologically protected π/8-gate which becomes universal when combined with the gates available through quasi-particle braiding and planar quasi- particle interferometry. A twisted interferometer, and a planar π/8-gate in CTS, implemented with the help of the twisted interferometer, are disclosed. Embodiments are described in the context of state X (CTS) supported by an ISH, although the concept of a twisted- interferometer is more general and has relevance to all anionic, i.e. quasiparticle systems.
Abstract:
A fusion outcome quasiparticle may be trapped in a potential well of a topological segment. The fusion outcome quasiparticle may be the product of fusion of a first quasiparticle and a second quasiparticle, where the first and the second quasiparticles are localized at ends of a topological segment. The potential well having the fusion outcome quasiparticle trapped therein and a third quasiparticle may be moved relative to each other such that the potential well and the third quasiparticle are brought toward each other. The quasiparticles may be Majorana modes of a nanowire.