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Seminars & Lectures

* TITLE

Random walk down quantum braids

* SPEAKERS

Name	Affiliation	E-mail
Xin Wan	Dept of Physics, Zhejiang University, China	xinwan(at)zju.edu.cn

* HOST(Applicant)

Name	Affiliation	E-mail
Alireza Akbari	APCTP	alireya(at)apctp.org

* DATE / TIME

2016-08-12, 11 am

* ABSTRACT

Recent experiments on topological states of matter have been accumulating evidence for the existence of exotic quasiparticles that obey non-Abelian statistics and that can be used for topological quantum computation. In a topological quantum computer, braids of non-Abelian anyons in a (2+1)-dimensional spacetime form quantum gates, which can be represented by unitary matrices acting in the space of degenerate quasiparticle states. In this talk I will discuss an algorithm, based on knowledge of random systems, that searches efficiently a braid sequence for any targeted quantum gate in the Fibonacci anyon model. In the algorithm a renormalization group like scheme is implemented that exploits the broad distribution of the braid representations in the space of unitary matrices. Interestingly, the accuracy (or inaccuracy) follows the Wigner-Dyson distribution of the eigenvalue spacing in the unitary ensemble in the random matrix theory, which allows a quantitative control of the residual error.

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