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Seminar
Measurement-only Topological Quantum Computation without Forced Measurements
Speaker Prof Liang Jiang, Yale University
Date 11 December 2017 (Monday)
Time 14:00-15:30
Venue Room 4504 (Lifts 25-26), HKUST
Abstract

We investigate the measurement-only topological quantum computation (MOTQC) approach proposed by Bonderson et al. [PRL 101, 010501 (2008)] where the braiding operation is shown to be equivalent to a series of topological charge ‘forced measurements’ of anyons. In a forced measurement, the charge measurement is forced to yield the desired outcome (e.g. charge 0) via repeatedly measuring charges in different bases. This is a probabilistic process with a certain success probability for each trial. In practice, the number of measurements needed will vary from run to run. We show that such an uncertainty associated with forced measurements can be removed by simulating the braiding operation using a fixed number of three measurements supplemented by a correction operator. Furthermore, we demonstrate that in practice we can avoid applying the correction operator in hardware by implementing it in software. Our findings greatly simplify the MOTQC proposal and only require the capability of performing charge measurements to implement topologically protected transformations generated by braiding exchanges without physically moving anyons.

DEPARTMENT OF PHYSICS